Question

P, Q and R enter into a partnership with capitals in the ratio 3:2:1. After 4 months, P leaves the business and after the next 4 months, Q also leaves the business and R continues till the end of the year. R takes 10% of the profit for managing the business.
What percentage of the total profit does R get?

• A. 33.75
• B. 43.75
• C. 23.75
• D. 13.75
• E. none

Answer 1

The correct option is B

43.75

Let x be the profit

The ratio of their shares will be $3:2:3$

So, R's share will be $\frac{3.5}{8}x$

$\therefore$ R's share will be $43.75\%$