Question 119

A and B started a business together and the respective ratio between the investments of A and B was 5 : 9. After 4 months from the start of business, C joined and the respective ratio between the investments of B and C was 3 : 7. If the annual profit earned by them was Rs. 7,084, what is C’s share in the profit ? (In Rs.)

Solution

Let amount invested by A = $$5x$$ years

=> Amount invested by B = $$9x$$ years

=> Amount invested by C = $$21x$$ years

Thus, ratio of shares A,B and C :

= $$(5x \times 12) : (9x \times 12) : (21x \times 8)$$

= $$5 : 9 : 14$$

Total profit = Rs. 7,084

$$\therefore$$ C's share = $$\frac{14}{5 + 9 + 14} \times 7084$$

= $$14 \times 253 = Rs. 3,542$$

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