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Question : A shopkeeper increases the cost price of an item by 50% and offers a discount of 40% on this marked price. What is his loss percentage?

Option 1: 15%

Option 2: 20%

Option 3: 10%

Option 4: 5%


Team Careers360 24th Jan, 2024
Answer (1)
Team Careers360 25th Jan, 2024

Correct Answer: 10%


Solution : Let the cost price of the item be 100.
The shopkeeper increases the cost price by 50% so,
Marked Price = 100 + 0.5 × 100 = 150
The shopkeeper offers a discount of 40% on the marked price
⇒ Discounted Price = 150 − 0.4 × 150 = 90
Loss = Cost Price − Discounted Price = 100 – 90 = 10
Now,
Loss Percentage = $\frac{\text{Loss}}{\text{Cost Price}} × 100=\frac{10}{100} × 100 = 10\%$
Hence, the correct answer is 10%.

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