Question

After getting two successive discounts of 12.5% and \( x % \), an item with marked price ₹750 is available at ₹525. Find the value of \( x \):

• A. 16
• B. 18
• C. 20
• D. 22

Hint:

To solve successive discounts, apply the first discount and then the second discount on the reduced price to find the final amount.

Answer 1

The Correct Option is C

Let the marked price of the item be ₹750, and let the first discount be 12.5%. After the first discount, the price becomes: \[ \text{Price after 12.5% discount} = 750 \times \left( 1 - \frac{12.5}{100} \right) = 750 \times 0.875 = 656.25 \] Now, a second discount of \( x % \) is applied, and the final price is ₹525. So, we have the equation: \[ 656.25 \times \left( 1 - \frac{x}{100} \right) = 525 \] Solving for \( x \): \[ 1 - \frac{x}{100} = \frac{525}{656.25} = 0.8 \] \[ \frac{x}{100} = 1 - 0.8 = 0.2 \quad \Rightarrow \quad x = 20 \] Thus, the value of \( x \) is \( \boxed{20} \).