P, Q and R have a certain amount of money with themselves. Q has 50% more than what P has, and R has $${1 \over 3}$$rd of what Q has. If P,…

Solution
Let P has = $Rs. 100x$
=> Amount with Q = $100x + \frac{50}{100} \times 100x = Rs. 150x$
=> Amount with R = $\frac{1}{3} \times 150x = Rs. 50x$
Total amount together = $100x + 150x + 50x = 246$
=> $x = \frac{246}{300} = \frac{82}{100}$
=> $x = 0.82$
$\therefore$ Amount with P alone = $100 \times 0.82 = Rs. 82$