A seller marked the price 25% more than its cost price. If he allows a discount of 42%, then find his loss percent

Question

Question

This question was previously asked in

SSC GD Constable (2022) Official Paper (Held On : 08 Feb 2023 Shift 1)

Answer 1

Data:

Mark-up percentage (m) = 25%

Discount percentage (d) = 42%

Concept:

The final selling price is given by Selling_price = Cost_price × (1 + m/100) × (1 - d/100).

The loss percent is found by comparing the selling price to the cost price.

Solution:

Let's assume the cost price of the item is ₹100 (for ease of calculation).

Therefore, the marked price = cost price + 25% of cost price

⇒ Marked price = ₹100 + 25% of ₹100

⇒ Marked price = ₹125

The selling price after a 42% discount on the marked price = marked price - 42% of marked price

⇒ Selling price = ₹125 - 42% of ₹125

⇒ Selling price = ₹125 - ₹52.5 = ₹72.5

Now, calculate the loss percent as ((cost price - selling price) / cost price) × 100

⇒ Loss percent = ((₹100 - ₹72.5) / ₹100) × 100

⇒ Loss percent = 27.5%

Therefore, the seller incurs a loss of 27.5%.

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