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?

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

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

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

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

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Solution

The correct option is D
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
$\Rightarrow$ the ratio of investment should be 9 : 9 : 4.

Hence, capital invested by A = $22, 000 \times \frac{9}{9 + 9 + 4} = 22, 000 \times \frac{9}{22}$ $= ₹ 9000$

Capital invested by B = $22, 000 \times \frac{9}{9 + 9 + 4} = 22, 000 \times \frac{9}{22}$ $= ₹ 9000$

Capital invested by C = $22, 000 \times \frac{4}{9 + 9 + 4} = 22, 000 \times \frac{4}{22}$ $= ₹ 4000$

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