Question
Download Solution PDFIf a shopkeeper cheats up to 12% in buying and selling fruits, using less weight, then his total profit percentage is:
A. 25.25
B. 27.27
C. 25.75
D. 25.5
Answer (Detailed Solution Below)
Detailed Solution
Download Solution PDFGiven:
Cheating percent while buying and selling = 12%
Formula Used:
Profit % = [(S.P - C.P)/C.P × 100]
Calculation:
Shopkeeper buy 112 gm goods instead of 100 gm by cheating
And he sells 88 gm instead of 100 gm
According to the question
SP/CP = (112 × 100)/(100 × 88)
⇒ 14/11
Profit = SP - CP
⇒ 14 - 11 = 3
Profit Percentage = (3/11) × 100%
⇒ 27.27%
∴ The shopkeeper earned 27.27% profit.
Shopkeeper cheats 12% in weight while buying as well as selling
Cost price for shopkeeper = [100 × (100 - 12)]/100
⇒ 88
Selling price for shopkeeper = [100 × (100 + 12)]/100
⇒ 112
Profit % = [(S.P - C.P)/C.P] × 100%
⇒ [(112 - 88)/88] × 100%
⇒ (24/88) × 100%
⇒ 27.27%
∴ The shopkeeper earned 27.27% profit.
Last updated on Jun 23, 2025
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