SSC CGL Mains 20241)Find the simple interest (in ₹) on ₹2000 at 6.5% per annum rate of interest for the period from 14 February 2023 to 28 April 2023
26
SSC CGL Mains 20242)Find the simple interest (in ₹) on ₹2000 at 6.5% per annum rate of interest for the period from 13 February 2023 to 27 April 2023
26
, Avg: 00:32 , 100%✓ SSC CGL 20223)A sum of money doubles itself in 7 years at simple interest. In how much time will it become 5 times of itself?
28 years
SSC CGL 20224)A person deposited ₹15,600 in a fixed deposit at 10% per annum simple interest. After every second year he adds his interest earned to the principal. The interest at the end of 4 years is:
₹6,864
, Avg: 01:30 , 100%✓ SSC CGL 20225)What is the rate of interest per annum for simple interest at which Rs. 880 amounts to Rs. 913 in \(1 \frac{1}{2}\) years?
\(2\frac{1}{2}\) %
SSC CGL 20226)A person borrows Rs. 1,00,000 from a bank at 10% per annum simple interest and clears the debt in five years. If the installment paid at the end of the first, second, third and fourth years to clear the debt are Rs. 10,000, Rs. 20,000, Rs. 30,000 and Rs. 40,000, respectively, what amount should be paid at the end of the fifth year to clear the debt?
Rs. 39,490
, Avg: 02:09 , 100%✓ SSC CGL 20227)The monthly income of Mr. Roy is Rs. 18,000. He took a loan of Rs. 30,000 on simple interest for 3 years at the rate of 5% per annum. The amount that he will be paying as simple interest in 3 years is what percent of his monthly salary?
25%
SSC CGL 20228)A sum of Rs. 10 is lent by a child to his friend to be returned in 11 monthly instalments of Rs. 1 each, the interest being simple. The rate of interest is:
\(21{ 9 \over 11} %\)%
, Avg: 01:12 , 100%✓ SSC CGL 20229)A person borrowed ₹2,000 at 5% annual simple interest repayable in 3 equal annual installments. What will be the annual installment?
\(₹730 \frac{10}{63}\)
, Avg: 01:45 , 42%✓ SSC CGL 202210)A certain sum of money lent at simple interest amounts to Rs. 1,200 in 2 years and Rs. 1,600 in 4 years. The rate per cent per annum is :
25%
11)The price of a T.V. set worth Rs. 20,000 is to be paid in 20 installments of Rs. 1000 each. If the rate of interest be 6% per annum, and the first installment be paid at the time of purchase, then the value of the last installment covering the interest as well will be
12)A person borrows Rs 4000 from a bank at 7 ½% per annum compound interest, compounded annually. At the end of every year, he pays Rs 1500 as part of the repayment of loan & interest. How much does he still owe to the bank after 3 such installments?
13)Find the quarterly instalment that will discharge a debt of Rs 2120 due in 1 years at 16% per annum simple interest.
14)Find the annual installment that will discharge a debt of Rs 12900 due in 4 years at 5% per annum simple interest.
15)What sum will give Rs 244/- as the difference between simple interest and compound interest at 10% pa in 1½ years compounded half-yearly?
16)A sum of Rs 6000 is deposited for 3 years at 5% per annum, compound interest compounded annually. The difference of interests for 3 and 2 years will be (in Rs.)
17)At a certain rate per annum, the simple interest on a sum of money for one year is Rs. 260 and the compound interest in the same sum for two years is Rs 540.80/-. The rate of interest per annum is
18)The difference between Simple Interest & Compound Interest for the fourth year is Rs 7280 at 20% per annum. What is the principal amount.
19)A sum of money doubles itself in 4 years at compound interest. It will amount 8 times itself in at the same rate of interest in:
20)Rs 8,000 amounts to Rs 9,159.20 in ‘t' months at 14% per annum interest being compounded half-yearly. What will be the amount (in ₹ nearest to an integer) in ‘t + 9' months on a sum of ₹ 10000 at 16% pa if the interest is compounded 9-monthly?
21)A person invests Rs 12000 as fixed deposit at a bank at the rate of 10% per annum simple interest. But due to some pressing needs he has to withdraw the entire money after 3 years, for which the bank allowed him at lower rate of interest. If he gets Rs 3320 less than what he would have got at the end of 5 years, the rate of interest allowed by the bank is
22)Ramesh deposited Rs. 15600 in a fixed deposit at the rate of 10% per annum simple interest. After every second year, he adds his interest earnings to the principal. The total interest at the end of fourth year is
23)With a given rate of simple interest, the ratio of principal and amount for a certain period of time is 4:5. After 3 years, with the same rate of interest, the ratio of the principal and amount becomes 5:7. The rate of interest is
24)A sum of money at a certain rate per annum of simple interest doubles in the 5 years and at a different rate becomes three times in 12 years. The lower rate of interest per annum is
, Avg: 01:08 , 80%✓ SSC CGL 202225)Damani purchased an item costing ₹7,500 and paid ₹3,500 as a down payment for the same. If the simple interest charged for the remaining amount is 9% per annum and Damani cleared all dues after 4 months of the purchase, how much did Damani pay after 4 months as interest?
₹120
, Avg: 01:12 , 71%✓ SSC CGL 202226)The simple interest on a certain sum for 3 years at 14% p.a. is ₹4,200 less than the simple interest on the same sum for 5 years at the same rate. Find the sum.
15000/-
, Avg: 00:42 , 40%✓ SSC CGL 202227)A person lent certain sum of money at the annual rate of 25 percent on simple interest. In 6 years the interest amounted to Rs. 360 more than the sum lent. What is the sum lent?
720/-
, Avg: 01:16 , 66%✓ SSC CGL 202228)₹2,500, when invested for 8 years at a given rate of simple interest per year, amounted to ₹3,725 on maturity. What was the rate of simple interest that was paid per annum?
6.125%
, Avg: 02:55 , 100%✓ SSC CGL 202229)What is the compound interest (in Rs.) on a sum of Rs. 62,500 for 2 years at 12% p.a., if the interest is compounded 8-monthly?
16,232
, Avg: 00:51 , 100%✓ SSC CGL 202230)A borrows a sum of ₹90,000 for 4 years at 5% simple interest. He lends it to B at 7% for 4 years at simple interest. What is his gain (in ₹)
, Avg: 01:24 , 71%✓ SSC CGL 202231)Anil lent a sum of Rs. 5,000 on simple interest for 10 years in such a way that the rate of interest is 6% per annum for the first 2 years, 8% per anmum for the next 2 years and 10% per annum beyond 4 years. How much interest (in Rs.) will he earn at the end of 10 years?
4,400
, Avg: 02:58 , 50%✓ SSC CGL 202232)Divide Rs. 66,300 between A and B in such a way that the amount that A receives after 8 years is equal to the amount that B receives after 10 years; with compound interest being compounded annually at a rate of 10% per annum.
A = Rs. 36,300, B = Rs. 30,000
, Avg: 02:01 , 100%✓ SSC CGL 202233)The simple interest on a sum of money at 10% per annum for 4 years is ₹3,200. What will be the amount (in ₹) of the same sum for the same period at the same rate of interest when the interest is compounded annually?
11,712.80
, Avg: 02:16 , 100%✓ SSC CGL 202234)The difference between compound interest compounded annually and simple interest on a certain sum at a rate of 15% per annum for 2 years is ₹1,944. Find the compound interest compound annually (in ₹) on the same sum for the same period at a rate of 10% per annum.
18,144
, Avg: 01:27 , 81%✓ SSC CGL 202235)What is the compound interest (in Rs.) at the rate of 10%, compounded annually, for 3 years on the principal which in 8 years at the rate of 12% per annum gives Rs. 4,800 as simple interest?
1,655
, Avg: 02:03 , 66%✓ SSC CGL 202236)The compound interest on a certain sum of money at 21% p.a. for 2 years is Rs. 11,138.40 (interest compounded yearly). The total amount received (in Rs) after 2 years is:
35,138.40
, Avg: 01:19 , 50%✓ SSC CGL 202237)A sum of Rs. 18,000 becomes Rs. 21,780 after 2 years on compound interest compounded annually. What will be the compound interest (in Rs.) on the same sum for the same period if the rate of interest increases by 5%
5,805
, Avg: 02:21 , 100%✓ SSC CGL 202238)A sum of Rs. 17,200 is lent out at simple interest in two parts for 2 years at 8% p.a. and 10% p.a., respectively, if the total interest received after 2 years is Rs. 3,008, then the money lent (in Rs.) at the rate of 8% p.a. is:
10,800
, Avg: 01:14 , 42%✓ SSC CGL 202239)Joseph deposited a total of ₹52,500 in a bank in names of his two daughters aged 15 years and 16 years in such a way that they would get equal amounts when they become 18 years old. If the bank gives 10% compound interest compounded annually, then what is the amount (in ₹) that Joseph had deposited in the name of his younger daughter?
, Avg: 02:13 , 100%✓ SSC CGL 202240)What is the amount (in ₹) of a sum of ₹32,000 at 20% per annum for 9 months, compounded quarterly?
37,044
, Avg: 02:17 , 50%✓ SSC CGL 202241)If Seema invests ₹17,650 in an account that yields 8.5% p.a. simple interest, then how much (to nearest ₹) will she have after 5 years?
, Avg: 00:59 , 44%✓ SSC CGL 202242)A sum of Rs. 4,620 is to be paid back in 2 equal annual instalments. How much is each instalment (in Rs.) if the interest is compounded annually at 10% per annum?
, Avg: 01:05 , 75%✓ SSC CGL 202243)Simple interest on a certain sum is one-fourth of the sum and the interest rate percentage per annum is 4 times the number of years. If the rate of interest increases by 2%, then what will be the simple interest (in ₹) on ₹5,000 for 3 years?
, Avg: 01:36 , 63%✓ SSC CGL 202244)A certain sum on simple interest becomes ₹49,600 in 3 years and ₹56,000 in 5 years. If the rate of interest had been 2% more, then in how many years would the sum have doubled?
10
, Avg: 01:02 , 80%✓ SSC CGL 202245)The simple interest on a certain sum is one-eighth of the sum when the number of years is equal to half of the rate percentage per annum. Find the simple interest (in Rupees) on Rs.15,000 at the same rate of simple interest for 8 years.
6,000
, Avg: 02:06 , 53%✓ SSC CGL 202246)On simple interest, a certain sum becomes Rs. 59,200 in 6 years and Rs. 72,000 in 10 years. If the rate of interest had been 2% more, then in how many years would the sum have become RS. 76,000?
9
, Avg: 00:03 , 33%✓ SSC CGL 202247)A sum of money was borrowed and paid back in two equal annual instalments of ₹980, allowing 4% compound interest. The sum (in ₹, to the nearest tens) borrowed was:
1,850
, Avg: 01:13 , 88%✓ SSC CGL 202248)A sum invested at compound interest amounts to Rs. 7,800 in 3 years and Rs. 11,232 in 5 years. What is the rate per cent?
20%
, Avg: 01:08 , 73%✓ SSC CGL 202249)A certain sum is deposited for 4 years at a rate of 10% per annum on compound interest compounded annually. The difference between the interest at the end of 2 years and that at the end of 4 years is Rs. 5,082. Find the sum (in Rs.).
, Avg: 00:45 , 100%✓ SSC CPO 202050)The simple interest on a sum of money at 10% per annum for 2 years is Rs. 8,100. What would be the compound interest (in Rs.) on the same sum for the same period at 15% p. a., when the interest is compounded yearly? (nearest to Rs. 1)
13,061
, Avg: 00:52 , 100%✓ SSC CPO 202051)A sum of Rs. 36,000 is divided into two parts, A and B, such that the simple interest at the rate of 15% p.a. on A and B after two years and four years, respectively, is equal. The total interest (in Rs.) received from A is:
7,200
SSC CPO 202052)A person invested Rs. 2,000 on simple interest for 7 years to obtain a total amount of Rs. 3,400 on a certain annual rate of interest. What was the rate of interest to obtain the above amount ?
, Avg: 01:58 , 100%✓ SSC CPO 202053)A sum amounts to Rs. 7,562 in 4 years and to Rs. 8,469.44 in 5 years. at a certain rate percent per annum when the interest is compounded yearly. If Rs. 10,000 at the same rate of interest is borrowed for two years, then what will be the compound interest (in Rs.) ?
SSC CPO 202054)A sum of Rs. 27,000 is divided into two parts A and B such that the simple interest at the rate of 15% p.a. on A and B after two years and four years, respectively, is equal. The total interest (in Rs.) received together from A and B is:
10,800
, Avg: 01:25 , 100%✓ SSC CPO 202055)The simple interest on a sum of money at 10% per annum for 2 years is Rs. 8,100. Compounded annually, what would be the compound interest (in Rs.) on the same sum for the same period at the same rate of interest?
8,505
, Avg: 02:18 , 100%✓ SSC CPO 202056)If the difference between the compounded interest and simple interest at 17% on a sum of money for 2 years (compounded annually) is Rs. 433.50, then compound interest (in Rs.) is:
Rs. 5,533.50
, Avg: 01:45 , 100%✓ SSC CPO 202057)If the annual rate of simple interest increases from 11% to 17.5%, then a person's yearly income increases by Rs. 1,071.20. The simple interest (in Rs.) on the same sum at 10% for 5 years is:
8,240
SSC CPO 202058)If the annual rate of simple interest increases from 11% to \(17 \frac 1 2\% \), a person's yearly income increases by Rs. 1,071.20. The principal amount invested (in Rs.) is:
16,480
SSC CPO 202059)If the difference between the compound interest and simple interest at 17% on a sum of money for 2 years (compounded annually) is Rs. 433.50, then the sum (in Rs.) is:
15,000
, Avg: 00:26 , 75%✓ SSC CPO 202060)A sum amounts to Rs. 7,562 in 4 years and to Rs. 8,469.44 in 5 years at a certain rate per cent per annum, when the interest is compounded yearly. The rate of interest is:
12%
SSC Selection Post Matric 202261)What is the difference between the compound interest on a sum of ₹10,000 at 12% p. a. for \(1{1\over4}\) years when the interest is compounded annually and when the interest is compounded 5-monthly? (nearest to a ₹)
SSC Selection Post Matric 202262)A borrowed ₹58,000 from B at 8% per annum simple interest for 2 years. He lent the same sum to C at 10% per annum compound interest, compounded annually for 2 years. How much did he earn (in ₹) in the transaction at the end of 2 years?
2,900
SSC Selection Post Matric 202263)What will be the amount (in ₹) of a sum of ₹ 6,000 in \(2 {1\over4}\) years at \(13\frac{1}{3}\) % p.a. if the interest is compounded 9-monthly?
7,986
SSC Selection Post Matric 202264)A man borrowed a sum of ₹30,000 at 7.5% per annum simple interest. How much money (in ₹) will he pay at the end of 5 years to clear his debt?
41,250
SSC Selection Post Matric 202265)What is the maturity amount if ₹40,000 is invested for 2 years, the rate of compounded interest (compounded annually) being 8% for the first year and 10% for the second year?
47,520
SSC Selection Post Matric 202266)A takes 42 hours to complete a work. B completes the same work in two-third of the time taken by A. What fraction of the work will they do in 14 hours?
\(\frac{5}{6}\)
SSC Selection Post Matric 202267)What is the compound interest (in ₹) on ₹80,000 for 3 years when the rate of interest is 5%, 8% and 10% per annum for the 3 successive years, the interest being compounded annually?
SSC Selection Post Matric 202268)The amount of a certain sum in \(2{3\over4}\) years at 8.4% p.a. simple interest is Rs. 2,325 more than the simple interest on the same sum for \(7{1\over2}\) years at 16 p.a. What is the sum (in Rs.)?
75,000
SSC Selection Post Matric 202269)The compound interest on a sum of Rs.18,400 at 10% p.a. for a certain period of time, is Rs.3.864, interest compounded yearly. What is the simple interest (in Rs.) on double the sum, at the same rate for double the time?
14,720
SSC Selection Post Matric 202270)The ratio of the incomes of A and B are 3 ∶ 7. If the income of A is increased by Rs. 4,500 and the income of B is decreased by Rs. 6,750, then the ratio of their incomes become 6 ∶ 11. What is the sum of their present incomes (in Rs.)?
170000
SSC Selection Post Matric 202271)Akhilesh borrowed Rs. 50,000 at a certain rate on simple interest and lent the same sum to Rakesh on compound interest, compounded annually at the same rate of interest. At the end of 2 years, Rakesh cleared his loan and then Akhilesh also cleared his loan. In the process, Akhilesh earned Rs.180. What was the rate of interest charged per annum?
6%
SSC Selection Post Matric 202272)What is the amount (in Rs.) on a sum Rs. 50,000 for \(2 \frac{3}{4}\) years at 12% p.a., if the interest is compounded annually? (nearest to an integer)
68,365
SSC Selection Post Matric 202273)A sum of Rs. 70,000 was lent partly at 4% p.a. and the remaining at 6% p.a. simple interest. The total interest received after \(3 \frac{1}{2}\) years is Rs. 12,488. The sum lent at 4% p.a. is:
Rs. 31,600
SSC Selection Post Matric 202274)The compound interest on a certain sum at 15% p.a. in 2 years is Rs. 4,837.50, interest compounded-yearly. What is the amount on the same sum at the same rate and for the same time, if the interest is compounded 8-monthly ?
SSC Selection Post Matric 202275)If the simple interest on a sum of Rs. x at 8% p.a. for \(3\frac{1}{2}\) years is double the simple interest on another sum of Rs. y at 12% p.a. for 3 years, then the ratio of x to y is:
18 : 7
SSC Selection Post Matric 202276)A loan of Rs. 15,300 is to be paid back in two equal half yearly instalments. If the rate of interest is 8% p.a., compounded 6-monthly, then the value of each instalment is:
Rs. 8112
, Avg: 01:50 , 90%✓ SSC Selection Post Matric 202277)A sum of Rs. 3,750 amounts to Rs. 5,500 in \(5\frac{1}{3}\) years at a certain rate percent per annum simple interest. The interest on same sum will be Rs. x in \(2\frac{2}{3}\) years at the same rate of simple interest. The value of x is:
875
, Avg: 01:58 , 100%✓ SSC Selection Post Matric 202278)A sum of ₹x will amount to ₹38,637 at 8% p.a. in \(2\frac{3}{4}\) years, when the interest is compounded annually. The value of x is:
31,250
, Avg: 00:51 , 100%✓ SSC Selection Post Matric 202279)A sum of ₹x amounts to ₹49,247 at 15% p.a. in 2 years, interest compounded 8-monthly. The value of x is:
37,000
, Avg: 00:44 , 50%✓ SSC Selection Post Matric 202280)What is the amount (in ₹) on a sum of ₹5,120 at 15% per annum for \( 2\frac{1}{2}\) years, if the interest is compounded 10 monthly?
7,290
, Avg: 01:05 , 100%✓ SSC Selection Post Matric 202281)In a certain number of years T, the simple interest earned on a certain sum at rate of 9% per annum is nine-sixteenth of the sum. What is the value of T (in years)?
6.25
SSC Selection Post Matric 202282)The compound interest (in Rs. to the nearest tens) on Rs.90,900 for 2.5 years at the rate of 10% per annum, compounded annually, is :
24,590
, Avg: 01:56 , 100%✓ SSC Selection Post Matric 202283)On a certain sum, simple interest for 2 years is Rs. 9,600 whereas the compound interest compounded annually is Rs. 10,176. What is the rate of interest per annum?
12%
, Avg: 00:27 , 50%✓ SSC Selection Post Matric 202284)A certain sum of money becomes 5 times in 15 years when invested at simple interest. In how much time (years and months) will it become 12 times of itself at the same rate at simple interest?
41 years 3 months
, Avg: 00:54 , 80%✓ SSC Selection Post Matric 202285)A sum of Rs 6,300 amounts to Rs 8,085 at a certain rate percent p.a. in \(3 {1 \over 3}\) a years. at simple interest. What will be the simple interest (in ₹) on a sum of Rs 8,000 at the same rate for \(4{2 \over 5}\) years?
2,992
, Avg: 02:31 , 75%✓ SSC Selection Post Matric 202286)A certain sum amounts to Rs 8,192 in 3.5 years and to Rs 9,472 in 6 years, at simple interest at a certain rate percent p. a. The rate of interest p.a. and the sum are ........ and ....... respectively.
, Avg: 01:33 , 100%✓ SSC Selection Post Matric 202287)A woman invested in a private company fund, a total sum of ₹10,25,000 in the names of her son and daughter aged 13 years and 15 years, respectively, such that they get an equal amount when they are of 18 years. If the company gives 20% compound interest compounded annually, then how much money (in ₹, to the nearest whole number) should be deposited in the name of her son?
4,20,082
, Avg: 02:16 , 33%✓ SSC Selection Post Matric 202288)The simple interest on a certain sum for \(4{1\over2}\) years at 10% p.a. is 60% of the compound interest on a sum of ₹12,000 for 1 year at 10% p. a, interest compounded half yearly. The sum on which the simple interest is calculated is:
₹1,640
, Avg: 02:11 , 80%✓ SSC Selection Post Matric 202289)What will be the compound interest (in ₹, to the nearest rupee) on ₹17,600 for 2 years at 7% per annum, compounded annually
2,550
, Avg: 00:50 , 75%✓ SSC Selection Post Matric 202290)A sum lent at simple interest amounts to Rs 6,313 in one year and Rs 7,139 in 3 years. What is the rate of interest per annum?
7%
SSC Selection Post Matric 202291)In how much time (in years) will Rs 8,000 amount to Rs 9,159.20 at 14% per annum interest compounded half yearly?
1
, Avg: 01:01 , 75%✓ SSC Selection Post Matric 202292)A new scooter is valued at Rs 1,20,000. At the end of each year, its value is reduced by 12% of its value at the start of the year. What will be its value (in Rs) after 2 years?
92,928
, Avg: 01:40 , 50%✓ SSC CHSL 202193)A man invests an amount of Rs. 1,05,750 at simple interest in the name of his son, daughter and his wife in such a way that they get the same interest after 3, 4 and 5 years, respectively. If the rate of interest is 5% per annum, then the amount invested for the wife is:
, Avg: 01:44 , 88%✓ SSC CHSL 202194)A man invested Rs.2,400 at 5% and Rs.5,400 at 9% simple interest, What amount (in Rs.) will he get from his investments after 6 years?
11,436
, Avg: 03:44 , 50%✓ SSC CHSL 202195)What is the compound interest (in Rs.) on a sum of Rs. 46,000 for \(2\frac{2}{5}\) years at 15% per annum, interest being compounded annually (nearest to a Rs.)?
, Avg: 01:39 , 75%✓ SSC CHSL 202196)In how much time will a sum of Rs.5,000 invested at the rate of 15%, simple interest per annum amount to Rs.6,500?
2 years
, Avg: 02:45 , 80%✓ SSC CHSL 202197)A certain sum of money amounts to Rs. 9,766 in 3 years at simple interest at R% per annum and to Rs. 10,849 in \(4\frac{1}{2}\) years at the same rate of simple interest. The value of R is:
9.5
, Avg: 00:53 , 100%✓ SSC CHSL 202198)The difference between the simple interest on a fixed amount for 7 years and on the same amount for 12 years is Rs. 2,500. If the rate of interest is 10% p.a., then the amount is:
Rs. 5000
, Avg: 02:26 , 66%✓ SSC CHSL 202199)A sum lent at simple interest amounts to Rs.6,240.80 in one year and to Rs.7,563.20 in 4 years. The sum (in Rs.) and the rate of interest per annum, respectively, are:
5,800, 7.6%
, Avg: 02:33 , 66%✓ SSC CHSL 2021100)Find the compound interest (in Rs.) on a sum of Rs. 7,500 for 4 years if the rate of interest is 20% per annum for the first two years and 10% per annum for the next two years. (The interest is compounded annually.)
5,568
, Avg: 00:53 , 66%✓ SSC CHSL 2021101)The simple interest on a sum of Rs. 12,000 at the end of 5 years is Rs. 6,000. What would have been the compound interest on the same sum at the same rate for 3 years when compounded annually?
Rs. 3,972
, Avg: 01:38 , 33%✓ SSC CHSL 2021102)In what time will a sum of Rs.1,25,000 amount to Rs.1,48,877 at 12% per annum, if interest is being compound half-yearly?
\(1\frac{1}{2} \) year
, Avg: 00:24 , 66%✓ SSC CHSL 2021103)The simple interest on a certain sum of money for 5 years at the rate of 10% per annum is half the compound interest on Rs. 5,000 for 2 years at the rate of 10% per annum, interest compounded yearly. The sum placed on simple interest is:
Rs. 1,050
, Avg: 00:41 , 86%✓ SSC CHSL 2021104)The compound interest on a certain sum of money for 3 years, compounded annually, at a rate of interest of 10% per annum is Rs. 1,324. The sum is:
, Avg: 01:12 , 100%✓ SSC CHSL 2021105)If the simple interest on a certain sum of money borrowed for 4 years at 9.5% per annum exceeds the simple interest on the same sum for 3 years at 12.5% per annum by Rs. 225, then the sum borrowed is:
, Avg: 01:17 , 50%✓ SSC CHSL 2021106)The 12% interest earned on a sum of money of Rs. 2,60,000 is to be used for awarding 24 scholarships of equal value every year in a school. What is the value (in Rs.) of each scholarship?
1300
, Avg: 01:28 , 72%✓ SSC CHSL 2021107)A sum of money lent at simple interest amounts to Rs. 9,920 after 2 years and to Rs. 12,800 after 5 years. Find the rate of interest per annum.
12%
, Avg: 02:26 , 100%✓ SSC CHSL 2021108)Krishan invested a sum of Rs. 25,000 in two parts. He earned 11% p.a. simple interest on part 1 and 10% p.a. compound interest compounded annually on part 2. If the total interest received by him after 2 years is Rs. 5,370, then find the sum invested on simple interest.
Rs. 12,000
, Avg: 00:55 , 100%✓ SSC CHSL 2021109)What will be the compound interest (in Rs.) on a sum of Rs. 7,200 for 18 months at a rate of 20% per annum, if the interest is compounded half-yearly (nearest to an integer)?
2,383
, Avg: 02:30 , 40%✓ SSC CHSL 2021110)The simple interest on a sum of Rs. 8,000 at a certain rate per cent per annum for 3 years is Rs. 3,600. What will be the amount (in Rs.) of the same sum after 2 years at the same rate, if the interest is compounded 8-monthly?
10,648
, Avg: 00:53 , 70%✓ SSC CHSL 2021111)If the difference between the compound interest compounded annually and the simple interest on a certain sum of money for three years at 10% per annum is Rs. 279, then the sum (in Rs.) is:
9,000
, Avg: 01:10 , 20%✓ SSC CHSL 2021112)Varun and Madhur invested Rs. 25,000 each in different schemes. Varun earned simple interest at 11% per annum, whereas Madhur earned compound interest at 10% per annum compounded annually. Who received more interest after 2 years and how much?
Varun, Rs. 250
, Avg: 01:16 , 50%✓ SSC CHSL 2021113)A man invests Rs. 7,000 at 8% per annum simple interest for 2 years and Rs. 10,000 at compound interest at the same rate for the same period, compounded annually. What will be the total interest and the total amount (in Rs.) respectively, on maturity?
2,784 and 19,784
, Avg: 02:02 , 100%✓ SSC CHSL 2021114)In how many years, the compound interest, if compounded annually on a sum of Rs. 60,000 at rate of 8% per annum is Rs. 9,984?
2
, Avg: 01:44 , 80%✓ SSC CHSL 2021115)A sum of Rs.x amounts to Rs.8,563.50 in \(3\frac{1}{2}\) years and to Rs.10,527 in 7 years at y% p.a. simple interest. The value of x and y, respectively, are:
6600 and \(8\frac{1}{2}\)
, Avg: 00:26 , 50%✓ SSC CHSL 2021116)A sum of Rs. x amounts to Rs. 9,246 in 4 years and to Rs. 11,298.75 in \(7\frac{1}{2}\) years, at y% p.a. simple interest. The values of x and y are, respectively:
6900 and 8.5
SSC CHSL 2021117)The simple interest on a certain sum for \(3\frac{1}{2}\) years at the rate of 10% per annum is Rs. 2940. What will be the compound interest (in Rs.) on the same sum for \(1\frac{1}{2}\) years at the same rate when interest is compounded half-yearly (nearest to a rupee)?
SSC CHSL 2021118)A mobile phone is available for Rs. 79,860 by cash payment or by paying cash of Rs. 60,000 as down payment and the remaining amount in three equal annual instalments. If the shopkeeper charges interest at the rate of 10% per annum compounded annually, then the amount of each instalment (in Rs) will be:
7,986
, Avg: 01:20 , 100%✓ SSC CHSL 2021119)In how many years, will ₹5,450 amount to ₹8,175, if invested at simple interest at the rate of 12.5% per annum?
4
, Avg: 01:32 , 100%✓ SSC CHSL 2021120)A sum of ₹4,000 amounts to ₹5,008 in three years at simple interest at the rate of x% per annum. If the interest rate becomes (x + 2.6)%, then the revised maturity amount will be:
Rs 5,320
, Avg: 00:45 , 100%✓ SSC CHSL 2021121)If the simple interest for 9 years be equal to 45% of the principal, then the rate of interest per annum is equal to:
5%
, Avg: 01:24 , 66%✓ SSC CHSL 2021122)A man invested a total of Rs.12,050 in two parts, one at 10% p.a. simple interest for 2 years and the other at the same rate at compound interest, interest being compounded annually, for the same time. The amounts he received from both the parts are equal. The sum (in Rs.) invested at the compound interest is:
6,000
, Avg: 01:49 , 50%✓ SSC CHSL 2021123)A sum of money amounts to Rs.28,224 in 2 years and to Rs. 29,635.20 in 3 years when invested on compound interest, compounded annually. What is the sum of money?
Rs. 25,600
, Avg: 00:57 , 25%✓ SSC CHSL 2021124)A sum of Rs 2,432 amounts to Rs 2,681.28 in 2 years at a certain rate percent per annum, interest compounded yearly. What will be simple interest (in Rs) on the same sum for \( 4\frac{3}{8}\) years at double the same rate?
1,064
, Avg: 02:09 , 93%✓ SSC CHSL 2021125)What is the simple interest on a sum of Rs. 99,000 at \(12\frac{1}{2}\ \)% per annum for a period of 9 months?
Rs. 9,281.25
, Avg: 02:36 , 66%✓ SSC CHSL 2021126)The simple interest on a certain sum for 3 years at 12% p.a. is Rs.6,750. What is the compound interest (in Rs.) on the same sum for 2 years at 20% p.a., if interest is compounded half-yearly? (rounded off to the nearest Rs.)
8,702
, Avg: 01:40 , 73%✓ SSC CHSL 2021127)The compound interest (in Rs., to the nearest integer) on Rs.8,950 for 2 years at the rate of 9% per annum, compounded annually, is:
1,683
, Avg: 00:50 , 56%✓ SSC CHSL 2021128)Anamika paid Rs. 4,965 as compound interest on a loan of Rs. 15,000 after 3 years when compounded annually. Suman took a loan of Rs. 10,000 at the same rate on simple interest. How much interest did Suman pay after 3 years?
Rs. 3000
, Avg: 01:48 , 86%✓ SSC CGL 2020129)The compound interest on a certain sum at \(16\frac{2}{3}\)% p.a. for 3 years is Rs. 6,350. What will be the simple interest on the same sum at the same rate for \(5\frac{2}{3}\) years?
Rs. 10,200
Compound interest = 6350; Rate(r) =\( 16\frac{2}{3}\)% = (50/3)%; Time(t) = 3 years;
Compound interest = \( p[(1 + \frac{r}{100})^t - 1]\)
\(6350 = p(1 + \frac{50/3}{100})^3 - 1\) ; ⇒ p = 10800;
Simple interest = \(\frac{prt}{100}\)
r = (50/3)% ; t =\( 5\frac{2}{3}\) = 17/3 ;
Simple interest = \( \frac{10800 \times (50/3) \times (17/3)}{100}\) = Rs.10200
, Avg: 02:03 , 44%✓ SSC CGL 2020130)A and B together borrowed a sum of Rs. 51,750 at an interest rate of 7% p.a. compound interest in such a way that to settle the loan, A paid as much amount after three years as paid by B after 4 years from the day of borrowing. The sum (in Rs.) borrowed by B was:
25,000
Let A borrow be Rs.x.
Borrowed by B = 51,750 - x;
Compound interest rate(r) = 7%;
Amount paid by A after 3 year = amount paid by B after 4 year;
Amount = \(principal(1 + r/100)^t\); ⇒ \(x(1 + 7/100)^3 = (51, 750 − x)(1 + 7/100)^4\) ; ⇒ \(x = (51, 750 − x) × 107/100\) ; ⇒ 100x = 5537250 - 107x ; ⇒ x = 5537250/207 = 26750;
Borrowed by B = 51,750 - x = 51,750 - 26750 = 25000
, Avg: 01:24 , 100%✓ SSC CGL 2016131)The simple interest on a sum for 5 years is two-fifth of the sum. The rate of interest per annum is
0.08
SSC CGL 2016132)A trader sold a cycle at a loss of 10%. If the selling price had been increased by Rs. 200, there would have been a gain of 6%. The cost price of the cycle is
Rs.1250
, Avg: 01:22 , 70%✓ SSC CGL 2020133)A certain amount of money at compound interest grows to Rs. 66,550 in 3 years and Rs. 73,205 in 4 years. The rate percent per annum is:
10%
Difference in the interest in 4 years and 3 years = 73205 - 66550 = Rs.6655;
Rate percentage = \({6655\over66550}\times100\) = 10%
, Avg: 01:06 , 66%✓ SSC CGL 2020134)What will be the difference in compound interest on a sum of Rs. 7,800 at 8% p.a. for 1 year, when the interest is paid yearly and half yearly?
Rs. 12.48
For 1 year, C.I. = S.I.; Here, interest = R = 4% per half year; For 2 half-years, C.I. - S.I. = \({PR^2\over10000}= {7800\times4\times4\over10000}\) = Rs. 12.48
, Avg: 02:05 , 54%✓ SSC CGL 2020135)Amit borrowed a sum of Rs. 25,000 on simple interest. Bhola borrowed the same amount on compound interest (interest compounded yearly). At the end of 2 years, Bhola had to pay Rs. 160 more interest than Amit. The rate of interest charged per annum is:
8%
For 2 years, Difference between C.I. and S.I. = \(P({R\over100})^2\); ⇒ \(160 = 25000\times({R\over100})^2\); ⇒ R = 8% per annum
, Avg: 01:33 , 25%✓ SSC CGL 2020136)The rate of simple interest on a sum of money is 5% p.a. for the first 4 years, 8% p.a. for the next 3 years and 10% p.a. for the period beyond 7 years. If the simple interest accrued by the sum over a period of 10 years is Rs.1,850, then the sum is :
Rs. 2,500
Simple interest = \(\frac{Principle\times Time\times Rate}{100}\);
Simple interest for 10 years = 1,850;
Simple interest for 4 years at 5% + Simple interest for 3 years at 8% + Simple interest for 3 years at 10% = 1850;
\(\frac{p \times 5 \times 4}{100} + \frac{p \times 8 \times 3}{100} + \frac{p \times 10 \times 3}{100}\) = 1850;
p(20 + 24 + 30) = 185000;
p = 185000/74 = 2500
, Avg: 01:20 , 76%✓ SSC CGL 2020137)The simple interest on a sum of Rs. 50,000 at the end of two years is Rs.4,000. What would be the compound interest on the same sum at the same rate for the same period ?
Rs. 4,080
Principal(p) = 50000 ; Interest(i) = 4000 ; Time(t) = 2 years ; Rate = \({S.I.\times100\over P\times T} = {4000\times100\over50000\times2} \) = 4% per annum ; Compound interest = \(P[(1+{R\over100})^T-1] =50000[(1+{4\over100})^2 -1]\) = Rs. 4080
, Avg: 03:00 , 40%✓ SSC CGL 2020138)A sum lent out at compound interest amounts to Rs.1,250 in one year and to Rs.1,458 in 3 years at a certain rate percentage p.a. What is the simple interest on the same sum for \(5{2\over5}\) years at the same rate of interest?
Rs. 500
\(P(1+{r\over100})=1250\)___(1); \(P(1+{r\over100})^3=1458\)_____(2); equation(2) ÷ equation(1); \((1+{r\over100})^2={1458\over1250}\); ⇒ r = 8%;
Calculate P by substituting value of r in equation (1) P = \(31250\over27\); Simple interest = \({31250\over27}\times8\times{27\over5}\over100\) = Rs. 500
, Avg: 02:43 , 50%✓ SSC CGL 2020139)A man buys two watches ‘A’ and ‘B’ at a total cost of ₹800. He sells both watches at the same selling price, and earns a profit of 18% on watch ‘A’ and incurs a loss of 22% on watch ‘B’. Whatare the cost prices of the two watches? (correct to two places after decimal).
A = ₹318.37 and B = ₹481.63
Let C.P. of watch A be Rs. x. C.P. of watch B = Rs.(800 - x); According to the question, \(x\times{118\over100}=(800-x)\times({100-22\over100})\); ⇒ x = Rs. 318.37; C.P. of watch B = 800 - 318.37 = Rs. 481.63
, Avg: 00:34 , 66%✓ SSC CGL 2020140)If in 13 years a fixed sum doubles at simple interest, what will be the interest rate per year? (Correct to two decimal places)
7.69%
Principal = Rs. x (let); Interest = Rs. x; ⇒ Rate = \({Interest \times 100\over Principal \times Time }= {{x\times100}\over{x\times 13}} =7.69\)%per annum
, Avg: 00:45 , 100%✓ SSC CGL 2020141)The compound interest on a certain sum at the end of two years is Rs.408. The simple interest on the same sum for the same time is Rs.400. The rate of interest per annum is:
4%
S.I. for 2 years = Rs. 400; so S.I. for 1 year =\({400\over2 }= 200\); \({P\times r\times t\over100}=200\); ⇒ Pr = Rs. 20000; According to the question, \({(P+200)\times r\times 1\over100}= 208\); ⇒ Pr+200r = 20800; ⇒ 20000+200r=20800; ⇒ r = 4% p.a.
, Avg: 01:22 , 100%✓ SSC CGL 2020142)A certain sum amounts to Rs.280900 in 2 years at 6% per annum, interest compounded annually. The sum is:
Rs.250000
Sum = p; Time(t) = 2 years; r = 6%; Amount = 280900; \(Amount={P(1+\frac{r} {100})^t} \);
\(280900=P(1+\frac{6}{100})^2\) = Rs. 250000
SSC CGL 2019143)A sum amounts to ₹14,395.20 at 9.25 % p.a. simple interest in 5.4 years. What will be the simple interest on the same sum at 8.6 % p.a. in 4.5 years?
₹3,715.20
, Avg: 01:01 , 100%✓ SSC CGL 2019144)A loan has to be returned in two equal yearly instalments each of ₹44,100. If the rate of interest is 5% p.a.. compounded annually, then the total interest paid is:
₹ 6,200
, Avg: 01:39 , 100%✓ SSC CGL 2019145)What is the compound interest on a sum of ₹7200 for \(2{2\over5}\) years at 20% p.a., interest compounded yearly (nearest to an integer)?
₹ 3,997
, Avg: 01:31 , 80%✓ SSC CGL 2019146)A sum lent out at simple interest amounts to ₹6076 in 1 year and ₹7504 in 4 years. The sum and the rate of interest p.a. are respectively:
₹5,600 and 8.5%
, Avg: 02:02 , 83%✓ SSC CGL 2019147)A sum of ₹10,500 amounts to ₹13,825 in \(3\frac{4}{5}\) years at a certain rate per cent per annum simple interest. What will be the simple interest on the same sum for 5 years at double the earlier rate?
₹ 8,750
, Avg: 02:51 , 25%✓ SSC CGL 2019148)A certain sum amounts to ₹4,205.55 at 15% per annum in \(2\frac{2}{5}\) years, interest is compounded yearly. The sum is:
₹ 3,000
\(A=P(1 + \frac{R}{100})^t \)
R = 15% for the initial 2 years, then the time period remaining is 2/5 years, hence, if we increase time to 1 year, then the rate will be \(\frac{2}{5} \times15 = 6\)%
\(4205.55 = P(1 + \frac{15}{100})^2(1 + \frac{6}{100}) \)
P = Rs 3000
, Avg: 02:00 , 57%✓ SSC CGL 2019149)A certain loan was returned in two equal half-yearly installments each of ₹6,760. If the interest rate was 8% p.a., compounded annually, how much was the interest paid on the loan?
₹ 770
Installments in case of compound interest is
P = x/(1 + r/100) + x/(1 + r/100)2 ....x/(1 + r/100)n
Since the loan is paid half yearly, thus we will use the formula by adjusting the que like rate of interest to half r = 4% and taking time duration n = 2., Given, (each installment) x = 6,760
⇒ P = [6,760/(1 + 4/100)] + [6,760/(1 + 4/100)2]
⇒ P = 6500 + 6250 = 12750
Total Rs paid = 6760 × 2 = 13520
Interest paid = 13520 – 12750 = 770
, Avg: 02:33 , 100%✓ SSC CGL 2019150)A person invested one-fourth of the sum of ₹25,000 at a certain rate of simple interest and the rest at 4% p.a. higher rate. If the total interest received for 2 years is ₹4,125, whatis the rate at which the second sum was invested?
9.25%
SSC CGL 2019151)A sum of ₹5,000 is divided into two parts such that the simple interest on the first part for \(4\frac{1}{5} \)years at \(6\frac{2} {3}\% p.a \). is double the simple interest on the second part for \( 2\frac{3}{4} \) years at 4% p.a. What is the difference between the two parts?
Rs. 600
Interest on 1st part = (r \times t)%;
\(4\frac{1}{5} \times 6\frac{2}{3}\)% =\( \frac{221}{5} \times \frac{20}{3}%\)
= 28%;
Interest on 2nd part,
\(2\frac{3}{4} \times 4% = \frac{11}{4} \times 4%\)
= 11%;
Let the principle of 1st and 2nd part be p and q respectively.
ATQ,
28%p =\( 2\times 11%q;\)q;
14p = 11q;
p : q = 11 : 14;
(11 + 14 = 25) units = 5000;
Difference between the two parts = 14 - 11 = 3 units;
3 units = \(\frac{5000}{25} \times 3\) = Rs.600;
So, difference between the two parts is Rs.600.
, Avg: 01:30 , 66%✓ SSC CGL 2019152)What will be the compound interest on a sum of ₹31,250 for 2 years at 12% p.a., if the interest is compounded 8-monthly?
Rs. 8,116
Interest is compounded 8-monthly so,
Time = \(2 \times 3/2\) = 3 years
Rate = \(\frac{12}{3/2} \)= 8%
P = 31250
Compound interest =\( p(1 + \frac{r}{100})^t - p
= 31250(1 + \frac{8}{100})^3 - 31250
= 31250 \times \frac{108}{100} \times \frac{108}{100} \times \frac{108}{100}\) - 31250 = 39366 - 31250 = Rs.8116
SSC CGL 2019153)A sum of Rs. 8,400 amounts to Rs. 11,046 at 8.75% per annum simple interest in certain time. What is the simple interest on the sum of Rs. 9,600 at the same rate for the same time ?
Rs. 3,024
Simple interest = \(\frac{prt}{100};\)
A sum of ₹8,400 amounts to ₹11,046 at 8.75% p.a.
So, interest = 11046 - 8400 = 2646;
2646 =\( \frac{8400 \times 8.75 \times t}{100};\)
t = 2646/735 = 3.6 years;
Interest when principle Rs. 9600 =\( \frac{9600 \times 8.75 \times 3.6}{100}\) = Rs.3024
, Avg: 01:22 , 78%✓ SSC CGL 2019154)A sum of Rs.18000 is lent at 10% p.a. compound interest, compounded annually. What is the difference between the compound interest for 3rd year and 4th year ?
Rs. 217.80
Compound interest = \(p(1 + \frac{r}{100})^t - p;\)
Amount at the end of 2 years = \(18000 (1+10/100)^2 = 18000 (1.1)^2 = Rs 21780;\)
Amount at the end of 3 years =\( 18000 (1+10/100)3\)= Rs 23958;
Interest for 3rd year = Amount at end of 3rd year - Amount at end of 2nd year = 23958 - 21780 = Rs 2178;
Amount at the end of 4 years = \(18000(1+10/100)^4\) = Rs 26353.8;
Interest for 4th year = Amount at end of 4th year - Amount at end of 3rd year = 26353.8 - 23958 = Rs 2395.8;
Difference between interest of 3rd year and of 4th year = 2395.8 - 2178 = Rs 217.8
, Avg: 02:07 , 83%✓ SSC CGL 2020155)The simple interest on a sum of money for 3 years at an interest rate of 6% p.a is Rs. 6750. What will be the CI on the same sum at the same rate for same period, compounded annually:
Rs.7163
SI = PRT/100 (put R=6, SI = 6750 and T=3 and calculate P)
P = 37500
Diff b/w CI and SI for 3 years = C.I - S.I = P(R/100)²(R/100 + 3)
C.I = Rs 7163 (aprox)