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The marked price of an article is 25% more than its cost price. If a scheme discount of 40% is given, then the loss percentage is:
Question

The marked price of an article is 25% more than its cost price. If a scheme discount of 40% is given, then the loss percentage is:

A.

20%

B.

25%

C.

30%

D.

15%

Correct option is B

Given:
The marked price of an article is 25% more than its cost price.
A scheme discount of 40% is given.
Formula used:
Loss Percentage=Cost PriceSelling PriceCost Price×100\text{Loss Percentage} = \frac{\text{Cost Price} - \text{Selling Price}}{\text{Cost Price}} \times 100​​
Solution:
Let the cost price (CP) be ₹ 100.
Marked Price (MP) = CP + 25% of CP = 100+ 25% of 100 = 100 + 25 = 125
Discount = 40% of MP = 40% of 125 = 0.40 ×\times​ 125 = ₹50
Selling Price (SP) = MP – Discount =125-50 = ₹ 75
Loss = CP – SP = 100-75 = ₹ 25
∴ Loss Percentage = 25100\frac{25}{100}​× 100 = 25 %

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