Question 112

Solve the following

On dividing Rs. 200 between A and B, such that twice of A's share is less than 3 times B's share by 200, what is B's share?

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Solution

Let B's share be Rs.x. Then, A's share =Rs. (200-x)
According to the question,
$2 \times (A^{'} s s h a r e) = 3 \times (B^{'} s s h a r e) - 200 \Rightarrow 2 \times (200 - x) = 3 x - 200 \Rightarrow 400 - 2 x = 3 x - 200 \Rightarrow - 2 x - 3 x = - 200 - 400 \Rightarrow - 5 x = - 600 \Rightarrow x = - 600 \times (\frac{- 1}{5}) ∴ x = 120$
Hence, B's share is Rs. 120.

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