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    A vendor bought lemons at 7 for ₹1. How many lemons must he sell for ₹1 to gain 40%?
    Question

    A vendor bought lemons at 7 for ₹1. How many lemons must he sell for ₹1 to gain 40%?

    A.

    6

    B.

    9

    C.

    5

    D.

    7

    Correct option is C

    Given:

    Cost price (CP): 7 lemons for ₹1

    CP per lemon =17.=\frac{₹1}{7}.​​

    Required gain = 40%.

    Formula Used:

    Selling price per lemon =CP×(1+gain%)\text{CP} \times (1+\text{gain}\%)​​

    Lemons per ₹1 =1SP per lemon.\dfrac{1}{\text{SP per lemon}}.​​

    Solution:
    SP per lemon =17×1.40=1470=15\dfrac{1}{7}\times 1.40=\dfrac{14}{70}=\dfrac{1}{5}​ rupee.
    Lemons per ₹1 =115=5=\dfrac{1}{\frac15}=5​​

    Alternate Method :
    To get (40%) gain, SP : CP = 140 : 100 = 7 : 5.
    If CP of 7 lemons is ₹1, then SP of 5 lemons is ₹1

    sell 5 lemons for ₹1.

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