A man purchases some oranges at the rate of 3 for Rs. 40 and the same quantity at 5 for Rs. 60. If he sells all the oranges at the rate of 3 for Rs. 50, find his gain or loss percent ( to the nearest integer ) = ?

A. 34% loss

B. 31% profit

C. 31% loss

D. 32% profit

Answer: Option D

Solution(By Examveda Team)

Man purchased 15 oranges of each type
CP of 1^st type $$ = \frac{{40}}{3} \times 15 = 200$$
CP of 2^nd type $$ = \frac{{60}}{5} \times 15 = 180$$
Total cost price = (200 + 180) = 380
Total selling price $$ = \frac{{50}}{3} \times 30 = 500$$
∴ Profit percentage
$$\eqalign{ & = \frac{{500 - 380}}{{380}} \times 100 \cr & = \frac{120}{380}\times100 \cr & = \frac{600}{19}\% \cr & = 31.57\% \cr & \approx 32\% \cr} $$