Question 51

Three persons A, B and C started a business with their shares in the ratio 3 : 4: 5. After 4 months B withdrew his 50% share and C withdrew his 20% share 4 months prior to completion of the year. If total profit in the year is ₹ 31,000 then find the share of A in the profit.

Solution

Let shares of A, B and C respectively be $$3x,4x$$ and $$5x$$

Ratio of profit = $$[3x\times12]:[(4x\times4)+(2x\times8)]:[(5x\times8)+(4x\times4)]$$

= $$36x:32x:56x$$

= $$9:8:14$$

Also, total profit = Rs. 31,000

$$\therefore$$ A's profit share = $$\frac{9}{(9+8+14)}\times31,000=Rs.$$ $$9,000$$

=> Ans - (B)

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