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1. Three persons stared a placement business with a capital of Rs. 3000. B invests Rs. 600 less than A and C invests Rs. 300 less than B. What is B's share in a profit of Rs. 886 ?

A. Rs. 443

B. Rs. 354.40

C. Rs. 265.80

D. Rs. 177.20

Solution:

Let A's capital = Rs. x
Then, B's capital = Rs. (x - 600)
C's capital = Rs. (x - 600) - 300 = Rs. (x - 900)
∴ x + (x - 600) + (x - 900) = 3000
⇒ 3x = 4500
⇒ x = 1500

\begin{aligned} So, A : B : C \\ = 1500 : 900 : 600 \\ = 5 : 3 : 2 \\ Hence, B's share \\ = Rs . (886 \times \frac{3}{10}) \\ = Rs . 265 .80 \end{aligned}

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