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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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