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A, B and C started a business together. The respective ratio of investment of A and B was 7:9 and that of B and C was 18:11. All of them invested for equal period of time. If the total profit earned by them was Rs. 15,050. what was C?s share of profit?

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A, B and C started a business together. The respective ratio of investment of A and B was 7:9 and that of B and C was 18:11. All of them invested for equal period of time. If the total profit earned by them was Rs. 15,050. what was C?s share of profit?
1). Rs. 3,850
2). Rs. 4,350
3). Rs. 4,150
4). Rs. 3,700


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2 answers

3 vote
Answered by on | Votes 3 |
Solution

A : B = 7 : 9 = 14 : 18

B : C = 18 : 11

=> Ratio of investments = A : B : C = 14 : 18 : 11

Total profit = Rs. 15,050

$\therefore$ C's share of profit = $\frac{11}{14 + 18 + 11} \times 15,050$

= $\frac{11}{43} \times 15050$

= $11 \times 350$ = Rs. $3,850$

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2 vote
Answered by on | Votes 2 |
Solution

A : B = 7 : 9 = 14 : 18

B : C = 18 : 11

=> Ratio of investments = A : B : C = 14 : 18 : 11

Total profit = Rs. 15,050

$\therefore$ C's share of profit = $\frac{11}{14 + 18 + 11} \times 15,050$

= $\frac{11}{43} \times 15050$

= $11 \times 350$ = Rs. $3,850$




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