Question

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?

Answer 1

Let B's share be Rs.x. Then, A's share =Rs. (200-x)
According to the question,
$2\times \left(A^{\prime }sshare\right)=3\times \left(B^{\prime }sshare\right)-200\Rightarrow 2\times (200-x)=3x-200\Rightarrow 400-2x=3x-200\Rightarrow -2x-3x=-200-400\Rightarrow -5x=-600\Rightarrow x=-600\times \left(\frac{-1}{5}\right)\therefore x=120$
Hence, B's share is Rs. 120.