Question

A certain amount of money is distributed among A, B and C. A gets $\frac{3}{16}$ and B gets $\frac{1}{4}$ of the whole amount. If C gets Rs.81; then what does B get?

• A. Rs.$36$
• B. Rs.$56$
• C. Rs.$46$
• D. Rs.$63$

Answer 1

The correct option is A Rs.$36$

Let the total amount = Rs x
A's share =$\frac{3}{16}x,B^{\prime }sshare=\frac{1}{x}x$
$\therefore C^{\prime }sshare=x-(\frac{3}{16}x+\frac{1}{4}x)=x-\frac{7}{16}x=\frac{9}{16}x$
Given $\frac{9x}{16}=81\Rightarrow x=\frac{81\times 16}{9}=144$
$\therefore B^{\prime }sshare=\frac{1}{4}\times Rs144=Rs36$