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Examoogle • User • info@examoogle.com • EE-2024-8821
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If a vendor buys 8 apples for ₹10 and sells them at 10 apples for ₹12, what is the loss or gain percentage?
4% loss
4% gain
5% loss
5% gain
4% loss
Given: Cost: 8 apples for ₹10. Sale: 10 apples for ₹12.
Cost: 8 apples for ₹10. Sale: 10 apples for ₹12.
Loss %=Cost per unitLoss per unit×100
Find CP = 10/8 = 1.25, SP = 12/10 = 1.2, loss = 0.05, then loss% = (0.05/1.25)×100 = 4%.
Comparing total amounts ₹10 and ₹12 directly without adjusting for different quantities leads to a wrong gain conclusion.
Cost price per apple
Cost per apple = total cost ÷ number of apples = 10/8 = 1.25 rupees.
CP=810=1.25
Selling price per apple
Selling price per apple = total selling price ÷ number of apples = 12/10 = 1.20 rupees.
SP=1012=1.20
Loss per apple
Loss per apple = CP – SP = 1.25 – 1.20 = 0.05 rupees.
Loss=CP−SP=1.25−1.20=0.05
Loss percentage
Loss % = (Loss per apple ÷ CP) × 100 = (0.05 ÷ 1.25) × 100 = 4%.
Loss %=1.250.05×100=4%
A is correct because the loss percentage is 4%.
The unit‑price method used here is also handy for discount and markup problems; always convert total amounts to per‑item values before comparing.