Question
Download Solution PDFIf a shopkeeper offers a 10% discount, he makes a 10% profit. Under the same conditions, if he offers a 25% discount, then how much percentage of profit or loss will he get?
Answer (Detailed Solution Below)
Detailed Solution
Download Solution PDFGiven Data:
Profit after 10% discount = 10%
Second discount offered = 25%
Concept:
Profit% = Profit/CP × 100
Loss% = Loss/CP × 100
SP = (100 - Discount%)/100 × MP
CP = 100/(100 + Profit%) × SP
Calculation:
Let the Marked Price be Rs. 100
Discount = 10%
SP = (100 - 10)/100 × 100 = Rs.90
Profit = 10 %
CP = 90 × 100/110 = Rs. 900/11 = Rs. 81.81
New discount = 25 %
SP = (100 - 25)/100 × 100 = Rs. 75
Loss = 81.81 - 75 = Rs. 6.81
Loss% = 6.81/81.81 × 100 = 8.33%
Therefore, Loss% = 8.33%
Last updated on Jul 8, 2025
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