A shopkeeper purchased some books from a publication worth Rs.1500. Because of…
2024
A shopkeeper purchased some books from a publication worth Rs.1500. Because of some reasons, he had to sell two-fifth part of the book at a loss of 15%. On which gain he should sell his rest of the books so that he gets neither gain nor loss?
- A.
10%
- B.
20%
- C.
30%
- D.
35%
Attempted by 454 students.
Show answer & explanation
Correct answer: A
We want overall no profit and no loss, so total selling price must equal total cost price (Rs.1500).
Cost price of 2/5 of the books = (2/5) × 1500 = 600.
Sold at 15% loss, so selling price of that part = 600 × 0.85 = 510.
To break even overall, selling price of remaining books must be 1500 − 510 = 990.
Cost price of remaining 3/5 = (3/5) × 1500 = 900.
Required gain % on remaining = (990 − 900) / 900 × 100 = 10%.
So, he should sell the remaining books at a 10% gain.