Question
Download Solution PDFThe 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:
Answer (Detailed Solution Below)
Detailed Solution
Download Solution PDFGiven:
The marked price of an article is 25% more than its cost price.
A scheme discount of 40% is given.
Formula used:
Loss Percentage = \(\dfrac{Cost Price - Selling Price}{Cost Price} \times 100\)
Calculations:
Let the cost price (CP) be ₹100.
Marked Price (MP) = CP + 25% of CP
⇒ MP = 100 + 25% of 100
⇒ MP = 100 + 25
⇒ MP = ₹125
Discount = 40% of MP
⇒ Discount = 40% of 125
⇒ Discount = 0.40 × 125
⇒ Discount = ₹50
Selling Price (SP) = MP - Discount
⇒ SP = 125 - 50
⇒ SP = ₹75
Loss = CP - SP
⇒ Loss = 100 - 75
⇒ Loss = ₹25
Loss Percentage = \(\dfrac{25}{100} \times 100\)
⇒ Loss Percentage = 25%
∴ The correct answer is option (4).
Last updated on Jul 23, 2025
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