Question

A certain sum of money is divided between $P$ and $Q$ in the ratio $3\frac{1}{2}:5\frac{1}{2}$. If $P$ gets $Rs.180$ less than $Q$, then what is the share of $Q$?

• A. $Rs.315$
• B. $Rs.495$
• C. $Rs.630$
• D. $Rs.810$

Answer 1

The correct option is B $Rs.495$

Let Q's share be Q, and P's share be $(Q-180)$

P : Q is $7:11$

$\frac{Q-180}{Q}=\frac{7}{11}$

$11Q-1980=7Q$

$4Q=1980$

$Q=495$

So, Q is Rs $495$.