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Question

A product is marked 20% above its cost price and sold at a 10% discount. If the profit earned is ₹ 400, what is the cost price of the product ?

This question was previously asked in
UPSSSC PET 2026 Question Paper (01-Nov-2026) (Shift-2)
The correct answer is

₹ 5,000

Let the cost price be x. Marked price = \( 1.2x \).

Selling price after 10% discount = \( 1.2x \times 0.9 = 1.08x \)

Profit = \( 1.08x - x = 0.08x = 400 \), so \( x = \frac{400}{0.08} = 5000 \).

Check: MP = ₹ 6,000, SP = \( 6000 \times 0.9 = 5400 \), profit = 5400 - 5000 = ₹ 400.

Hence, ₹ 5,000.

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Important Questions from Discount and MP

  1. If a trader marks the price of an article 50 percent more than the cost price and allows a discount of 30 percent, then what is his profit percentage?

  2. Printed price of a mobile is Rs. 6,400. It is sold in Rs. 2,560 with two consecutive discount. If first discount is 20%, then what is the second discount?

  3. A trader decided to mark his goods 15 percent above the cost price and then offered 40 percent discount. What will be the percentage of profit or loss?

  4. On the sale of 20 percent discount, the value of an item is Rs. 760. What was the real value of the item?

  5. What is the total discount applicable if 3 successive discounts of 20%, 10% and 12.5% are applied?

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