Question : A bookseller allowed a 10% discount on the printed price. He gets a 30% commission from the publisher. His profit in percentage will be:
Option 1: $20$
Option 2: $28\frac{4}{7}$
Option 3: $25$
Option 4: $26\frac{3}{7}$
Correct Answer: $28\frac{4}{7}$
Solution :
Let the marked price of the book be Rs. 100.
Cost price of the retailer = Rs. (100 – 30) = Rs. 70
Selling price for the retailer after a discount of 10% = Rs. 90
$\therefore$ Profit percentage = $\frac{(90−70)}{70}\times 100$
= $\frac{20}{70} \times 100$
= $\frac{200}{7}$
= $28\frac{4}{7}$%
Hence, the correct answer is $28\frac{4}{7}$.
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