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Question

Three friends A, B and C started a business by investing a total sum of ₹ 22,000. At the end of the year. A, B and C receives ₹ 900, ₹ 900 and ₹ 400 respectively as their profit share. What is the amount of capital invested by A, B and C?


A

Capital invested by A = ₹ 4000
Capital invested by B = ₹ 9000
Capital invested by C = ₹ 4000

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B

Capital invested by A = ₹ 9000
Capital invested by B = ₹ 7000
Capital invested by C = ₹ 4000

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C

Capital invested by A = ₹ 9000
Capital invested by B = ₹ 9000
Capital invested by C = ₹ 4000

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D

Capital invested by A = ₹ 9000
Capital invested by B = ₹ 3000
Capital invested by C = ₹ 7000

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Solution

The correct option is C

Capital invested by A = ₹ 9000
Capital invested by B = ₹ 9000
Capital invested by C = ₹ 4000


Total amount invested = ₹ 22,000

Ratio of profits of A : B : C = 900 : 900 : 400 = 9 : 9 : 4
the ratio of profit = 9 : 9 : 4
the ratio of investment should be 9 : 9 : 4.

Hence, capital invested by A = 22,000 × 99+9+4=22,000 × 922 =9000

Capital invested by B = 22,000 × 99+9+4=22,000 × 922 =9000

Capital invested by C = 22,000 × 49+9+4=22,000 × 422 =4000


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