Question

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

A

Capital invested by A = Rs. 9000
Capital invested by B =  Rs. 9000
Capital invested by C =  Rs. 4000

B

Capital invested by A = Rs. 9000
Capital invested by B =  Rs. 3000
Capital invested by C =  Rs. 7000

C

Capital invested by A = Rs. 9000
Capital invested by B =  Rs. 7000
Capital invested by C =  Rs. 4000

D

Capital invested by A = Rs. 4000
Capital invested by B =  Rs. 9000
Capital invested by C =  Rs. 4000

Solution

## The correct option is A Capital invested by A = Rs. 9000  Capital invested by B =  Rs. 9000  Capital invested by C =  Rs. 4000  Total amount invested = Rs. 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 =Rs.9000 Capital invested by B = 22,000 × 99+9+4=22,000 × 922 =Rs.9000 Capital invested by C = 22,000 × 49+9+4=22,000 × 422 =Rs.4000 Mathematics

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