Question

To gain 25% after allowing a discount of 10%, the shopkeeper must mark the price of the article which costs him ₹360 as:

• A. ₹500
• B. ₹450
• C. ₹460
• D. ₹486

Hint:

Profit is calculated on cost price, while discount is applied to the marked price. Use the formula: \( \text{Selling Price} = \text{Marked Price} \times (1 - \text{Discount}) \).

Answer 1

The Correct Option is A

Let the marked price be \( x \).
Selling price after 10% discount = \( 0.9x \).
To gain 25%, the selling price should be \( 1.25 \times 360 = 450 \).
Thus, \( 0.9x = 450 \).
Solving for \( x \):
\[ x = \frac{450}{0.9} = 500 \] Thus, the required marked price is ₹500.