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 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 20195)The investment of the Partners A, B, C and D in a business is such that the ratio of the investment 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 profit of A and D is ₹648,then the total profit in the business is:

Correct Option: A

₹ 2,052

SSC CGL 20196)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 CPO 20207)A, B and C started a business by investing Rs. 13,750, Rs. 16,250 and Rs. 18,750, respectively. If B's share in the profit earned by them is Rs. 5,200, what is the total profit (in Rs.) earned by them together?

Correct Option: A

15,600

SSC CPO 20208)A and B started a business investing amounts of Rs. 92,500 and Rs. 1,12,500 respectively. If B's share in the profit earned by them is Rs. 9,000, what is the total profit (in Rs.) earned by them together?

Correct Option: D

16,400

SSC CPO 20209)A and B started a business investing amounts of Rs. 92,500 and Rs. 1,12,500, respectively. If B's share in the profit earned by them is Rs. 9,000, what is the profit (in Rs.) earned by A?

Correct Option: C

7,400

SSC CPO 202010)Three partners shared the profit in a business in the ratio 8 : 7 : 5. They invested their capitals for 7 months, 8 months and 14 months, respectively. What was the ratio of their capitals?

Correct Option: B

64 : 49 : 20

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