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A shopkeeper gives 20% discount on the marked price of a book. He provides 1 pair of books free with the sale of 9 pair of books. In the whole transaction, he gets profit of 26%. Find the percentage increase in marked price from the cost price.

Correct Answer: 75%

Explanation:

Given,Let the cost price of single book be Rs. 100.


The cost price of (9 + 1) = 10 pair i.e. 20 books = Rs. (100 × 20) = Rs. 2000.He gets profit of 26%.


So, the selling price of 9 pair i.e. 18 books = Rs. 2000 × (126/100) = Rs. 2520


Then,the selling price of single book = Rs. 2520/18 = Rs. 140


He gives 20% discount on the marked price of a book.


That means, when the selling price is Rs. 80 then the marked price is Rs. 100.


∴When the selling price of single book is Rs. 140, the marked price = Rs. 140 × (100/80) = Rs. 175


∴The percentage increase in marked price from the cost price = (175 –100)% = 75%


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