A shopkeeper sold a book at a loss of 14%. If the selling price had been increased by ₹100, there would have been a gain of 6%. What was the cost price of the book?

Explanation

To determine the cost price of the book, let’s go through the steps with the corrected values. Step 1: Let the cost price of the book be C . Step 2: The shopkeeper initially sold the book at a 14% loss. Therefore, the initial selling price (SP) can be expressed as: SP = C - 0.14C = 0.86C Step 3: If the selling price had been increased by ₹100, there would have been a gain of 6%. So, the new selling price would be: New SP = C + 0.06C = 1.06C Step 4: Set up an equation based on the information provided: 0.86C + 100 = 1.06C Step 5: Solve for C : 100 = 1.06C - 0.86C 100 = 0.2C C = 100 / 0.2 C = 500 Answer: The cost price of the book is ₹500.