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Q.

A.B and C start a business by investing $₹$ 2000, $₹$ 3000 and $₹$ 4000 respectively. But B increases his investment to t 4000 after 4 months and C withdraws $₹$ 1000 at the end of 9 months. What is A' s share out of a total profit of $₹$ 8475 earned in a year ?

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a

$₹$ 1800

b

$₹$ 1700

c

$₹$ 1600

d

$₹$ 1500

answer is A.

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Detailed Solution

A's Monthly Equivalent Investment = (2000 x 12)

B's Monthly Equivalent Investment =(3000 X 4+4000 X 8)

C's Monthly Equivalent Investment = ( 4000 X 9 + 3000 X 3) Profit sharing ratio =24000: 44000 :45000=24: 44 :45

$∴$ A's share $= \frac{24}{113} \times 8475$

$= 24 \times 75 = ₹ 1800 .$

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A.B and C start a business by investing ₹ 2000, ₹ 3000 and ₹ 4000 respectively. But B increases his investment to t 4000 after 4 months and C withdraws ₹ 1000 at the end of 9 months. What is A' s share out of a total profit of ₹ 8475 earned in a year ?