SSC CGL 20191)The ratio of investment by A to that by B in a business is 14 : 15 and the ratio of their respective profits at the end of a year is 2 : 5. IfA invested the money for 3 months, then for how much time (in months) B invested his money?
7
The ratio of investment by A to that by B in a business = 14 : 15;
Let the B invest his money for x months.
Ratio of the profit of A to B = 2 : 5;
\(14 \times 3 : 15 \times X\) = 2 : 5;
\(42 : 15 \times X\) = 2 : 5;
\( 42 \times 5 \)= 30x;
x = 7
SSC CGL 20192)‘A' started a business with a capital of ₹54,000 and admitted ‘B’ and ‘C’ after 4 months and 6 months, respectively. At the end of the year, the profit was divided in the ratio 1 : 4 : 5. What is the difference between the capitals invested by ‘B’ and ‘C’?
₹2,16,000
Investment of A = ₹54,000;
Time = 12 months;
Let the investment of B and C be x and y respectively.
Time of the invest for B = 12 - 4 = 8 months;
Time of the invest for C = 12 - 6 = 6 months;
Profit share of A, B and C = 54000 \times 12 : x \times 8 : y \times 6 = 324000 : 4x : 3y;
1 : 4 : 5 = 324000 : 4x : 3y;
From first two,
1 : 4 = 324000 : 4x;
x = 324000;
Now
From first and third,
1 : 5 = 324000 : 3y;
y = 540000;
Difference between the capitals invested by ‘B’ and ‘C’ = 540000 - 324000 = Rs.216000
SSC CGL 20193)A, B and C started a business with their capitals in the ratio 2 : 3 : 5. A increased his capital by 50% after 4 months, B increased his capital by \(33\frac{1}{3}%\)% after 6 months and C withdrew 50% of his capital after 8 months, from the start of the business. If the total profit at the end of a year was ₹86,800,then the difference between the shares of A and C in the profit was:
12,600
Profit = Money × Time × k
A, B and C initial capitals ratio => 2 : 3 : 5
Total profit of A in the end of year = 2k × 4 + 2k × (3/2) × 8 = 32k
Total profit of B in the end of year = 3k × 6 + 3k × (4/3) × 6 = 42k
Total profit of C in the end of year = 5k × 8 + 5k × (1/2) × 4 = 50k
Profit ratio of A, B and C = 32 : 42 : 50 = 16 : 21 : 25
⇒ 16k + 21k + 25k = 86800
⇒ k = 86800/62 = 1400
⇒ 25k – 16k = 9k
⇒ 9 × 1400 = 12600
SSC CGL 20194)A, B and C spend 80%, 85% and 75% of their incomes, respectively. If their savings are in the ratio 8 : 9 : 20 and the difference between the incomes of A and C is ₹18,000, then the income of B is:
₹ 27,000
, thud there saving will 20%, 15%
Also, Savings are in the ratio 8 : 9 : 20 respectively.
Thus, 20% of A : 15% of B : 25% of C :: 8 : 9 : 20
From above, 20A / 25C = 8 / 20 ---(i)
It is also given, C – A = 18000 ---(ii)
Solving (i) and (ii), we get A = Rs.18000 and C = Rs.36000
Also, from 20A / 15B = 8 / 9 , we get B = Rs.27000
SSC CGL 20195)A, B and C started a business, Thrice the investment of A is equal to twice the investment of B and also equal to four times the investment of C, If C’s share out of the total profit is ₹4,863,then the share of A in the profit is:
₹6,484
SSC CGL 20196)A sum is divided among A, B, C and D such that the ratio of the shares of A and B is 2 : 3, that of B and C is 1 : 2 and that of C and D is 3 : 4. If the difference between the shares of A and D is ₹648,then the sum of their shares is:
₹ 2,052
SSC CGL 20197)A sum of ₹x is divided among A, B and C such that the ratio of the shares of A and B is 6 : 7 and that of B and C is 3 : 2. If the difference between the shares of A and C is ₹540, then the value of x is:
7155
SSC CGL 20198)A, B and C invested their capitals in the ratio of 2 : 3 : 5. The ratio of months for which A, B and C invested is 4 : 2 : 3. If C gets a share of profit which is ₹1,47,000 more than that of A, then B’s share in the profit is:
₹ 1,26,000
SSC CGL 20199)The ratio of the incomes of A and B last year was 4 : 3, respectively. The ratios of their individual incomes of the last year and the present year are 3 : 4 and 5 : 6, respectively. If their total income for the present year is ₹8.04 lakh, then the income of B last year was:
₹2.7 lakh