Question

A fruit seller sells apples at a certain profit percentage such that he realizes the cost price by selling 40% of the apples. Towards the end of the day, he sells 70% of the remaining apples at half its initial profit percentage and throws away the rest as they were rotten. What is his overall profit for the day?

• A. 96%
• B. 69%
• C. 48%
• D. 73.5%
• E. 84%

Answer 1

The correct option is D 73.5%

Let the total cost price be = x
So, $0.4\times SP=x\Rightarrow SP=2.5x$
Which means the initial profit percentage was = 150%
Reduced profit $\%=\frac{150}{2}=75\%$
He sells 70% of the remaining 60% at 75% profit $=0.7\times 0.6\times 1.75x=0.735x$
Profit percentage $=0.735\times 100=73.5\%$