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    By selling cakes at ₹84 per dozen, a baker earns a profit of 12%. At what price must he sell each cake to earn a profit of 20%?
    Question

    By selling cakes at ₹84 per dozen, a baker earns a profit of 12%. At what price must he sell each cake to earn a profit of 20%?

    A.

    ₹8.50

    B.

    ₹7.50

    C.

    ₹9.50

    D.

    ₹10.50

    Correct option is B

    Given:
    Selling price for 12 cakes (1 dozen) = ₹84
    Profit earned = 12%
    Formula Used:
    Cost Price (CP)=Selling Price×100100+Profit%New Selling Price=Cost Price×(100+New Profit%)100\text{Cost Price (CP)} = \frac{\text{Selling Price} \times 100}{100 + \text{Profit\%}}\\\text{New Selling Price} = \frac{\text{Cost Price} \times (100 + \text{New Profit\%})}{100}​​
    Solution:
    Cost Price of 12 cakes = 84×100112=75.00₹84 × \frac{100 }{ 112} = ₹75.00​​
    Selling Price for 20% profit = 75.00×120100=90.00₹75.00 × \frac{120}{100} = ₹90.00​​
    Price per cake = 90.0012\frac{₹90.00}{ 12}​ = ₹7.50
    To earn a profit of 20%, he must sell each cake at ₹7.50.

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