Q:
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.
Answer & Explanation
Answer: C) 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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