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?

Correct Option: A

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’?

Correct Option: 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:

Correct Option: A

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:

Correct Option: B

Let the income of A, B and C be Rs.A, Rs.B and Rs.C; since A, B, and C spend 80%, 85%, and 75% of their incomes respectively there saveing will be 20% of A, 15% of B and 25% of C respectively.

₹ 27,000

, thud there saving will 20%, 15%

Let the income of A, B and C be Rs.A, Rs.B and Rs.C; since A, B, and C spend 80%, 85%, and 75% of their incomes respectively there saveing will be 20% of A, 15% of B and 25% of C respectively.

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:

Correct Option: B

₹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:

Correct Option: A

₹ 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:

Correct Option: C

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:

Correct Option: A

₹ 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:

Correct Option: A

₹2.7 lakh

SSC CGL 202010)If a sum of Rs. 1,180 is to be divided among A, B and C,such that 2 times A’s share, 5 times B’s share and 7 times C’s share, are equal, then A’s share is:

Correct Option: D

Rs. 700

According to the question, \(2\times A= 5 \times B= 7\times C\) ; Ratio of the share of A, B and C = \({1\over2}:{1\over5}:{1\over7} \) = 35 : 14 : 10 ; A’s share = \({35\over59}\times1180\) = Rs. 700

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