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1. We have to divided a sum of Rs. 13950 among three persons A, B and C. B must get the double of A's share and C must get Rs. 50 less than the double of B's share. The share of A will be ?

A. Rs. 1950

B. Rs. 1981.25

C. Rs. 2000

D. Rs. 2007.75

Solution:

Lert the share of A = Rs. x
According to the question,

\begin{aligned} A : B : C \\ Capital \to x : 2 x : (4 x - 50) \\ \Rightarrow (x + 2 x + 4 x - 50) = 13950 \\ \Rightarrow 7 x - 50 = 13950 \\ \Rightarrow 7 x = 14000 \\ \Rightarrow x = 2000 \\ Share of A = Rs . 2000 \end{aligned}

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