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1. A and B start a business with investments of Rs. 5000 and Rs. 4500 respectively. After 4 months, A takes out half of his capital. After two more months B takes out one-third of his capital while C joins them with a capital of Rs. 7000. At the end of a year, they earn a profit of Rs. 5080. Find the share of each member in the profit ?

A. A = Rs. 1400, B = Rs. 1900, C = Rs. 1780

B. A = Rs. 1600, B = Rs. 1800, C = Rs. 1680

C. A = Rs. 1800, B = Rs. 1500, C = Rs. 1780

D. A = Rs. 1680, B = Rs. 1600, C = Rs. 1800

Solution:

A : B : C
(5000 × 4 + 2500 × 8) : (4500 × 6 + 3000 × 6) : (7000 × 6)
= 40000 : 45000 : 42000
= 40 : 45 : 42

\begin{aligned} ∴ A's share \\ = Rs . (5080 \times \frac{40}{127}) \\ = Rs . 1600 \\ ∴ B's share \\ = Rs . (5080 \times \frac{45}{127}) \\ = Rs . 1800 \\ ∴ C's share \\ = Rs . (5080 \times \frac{42}{127}) \\ = Rs . 1680 \end{aligned}

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