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If the cost price of 28 cricket bats is the same as the selling price of 32 cricket bats, then the loss percentage is:
Question

If the cost price of 28 cricket bats is the same as the selling price of 32 cricket bats, then the loss percentage is:

A.

14.3%

B.

32%

C.

12.5%

D.

28%

Correct option is C

Given:
Cost price of 28 cricket bats = Selling price of 32 cricket bats
Formula Used:
Loss % = (Loss ÷ Cost Price) × 100
Loss = Cost Price - Selling Price
Solution:
Let the cost price of one cricket bat = ₹1
Total cost price of 28 cricket bats = ₹28
Total selling price of 32 cricket bats = ₹28 (as given)
Selling price of one cricket bat = ₹2832\frac{28}{32}​= ₹0.875
Loss = ₹1 - ₹0.875 = ₹0.125
Loss % = 0.1251\frac{₹0.125}{ ₹1}​ × 100 = 12.5% 
Alternate Solution:
Cost price of 28 bats = Selling price of 32 bats
28 CP=32 SP7 CP=8 SPRatio of CP : SP=8:7Loss=CPSP=87=1Loss%=18×100=12.5%28 \, CP = 32 \, SP \\[6pt]7 \, CP = 8 \, SP \\[6pt]\text{Ratio of CP : SP} = 8 : 7 \\[6pt]\text{Loss} = CP - SP = 8 - 7 = 1 \\[6pt]\text{Loss\%} = \frac{1}{8} \times 100 = 12.5\%​​


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