Profit and Loss


  1. A shopkeeper sells eggs at 20 for a rupee gaining 30%. How many eggs did he buy for a rupee ?











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    SP of 20 eggs = ₹ 1 and gain = 30%
    CP of 20 eggs = (1 x 100)/130 = ₹ 10/13
    Now, ₹ 10/13 yields 20 eggs.

    Correct Option: D

    SP of 20 eggs = ₹ 1 and gain = 30%
    CP of 20 eggs = (1 x 100)/130 = ₹ 10/13
    Now, ₹ 10/13 yields 20 eggs.
    ∴ ₹ 1 will yield (20 x 13)/10 = 26 eggs
    Clearly, 26 eggs were bought for ₹ 1.


  1. Find the percentage loss when the cost price and selling price of an article are in the ratio of 5 : 3. ?











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    Let CP = 5N and SP = 3N
    Loss = (CP- SP) = (5N - 3N) = 2N

    Correct Option: A

    Let CP = 5N and SP = 3N
    Loss = (CP- SP) = (5N - 3N) = 2N
    Loss % = (2N / 5N) x 100 %
    = 40%



  1. A man perchases certain number of toffees at 6 per rupee. and the same number of toffees at 7 per rupee. He mixed the toffs and sells them at 6 per rupee. What is his gain or loss percent?









  1. View Hint View Answer Discuss in Forum

    CP of 1 toffee for 1st rate = 1/6
    CP of 1 toffee for 2nd rate = 1/7
    CP of 2 toffee after mixing = 1/6 + 1/7 = 13/42
    CP of 1 toffee after mixing = 13/84
    SP of 1 toffee after mixing = 1/6
    Gain = 1/6 - 13/84 = 1/84

    Correct Option: B

    CP of 1 toffee for 1st rate = 1/6
    CP of 1 toffee for 2nd rate = 1/7
    CP of 2 toffee after mixing = 1/6 + 1/7 = 13/42
    CP of 1 toffee after mixing = 13/84
    SP of 1 toffee after mixing = 1/6
    Gain = 1/6 - 13/84 = 1/84
    Gain% = [(1/84) / (13/84)] x 100% = 100/13% = 79/13%


  1. Punkaj purchased an item for ₹ 7500 and sold it at the gain of 24%. Find the amount he purchased another item and sold it at the loss of 20%. What is his over all gain/ loss?









  1. View Hint View Answer Discuss in Forum

    CP1 =₹ 7500
    ∴ SP1 = (7500 x 124)/100 = ₹ 9300 = CP2
    SP2 = (9300 x 80)/100= ₹ 7440
    ⇒ CP1 > SP1
    Hence, loss is incurred in this transaction
    ∴ Require loss = (CP1 - SP2)

    Correct Option: C

    CP1 =₹ 7500
    ∴ SP1 = (7500 x 124)/100 = ₹ 9300 = CP2
    SP2 = (9300 x 80)/100= ₹ 7440
    ⇒ CP1 > SP1
    Hence, loss is incurred in this transaction
    ∴ Require loss = (CP1 - SP2)
    = 7500 - 7440
    = ₹ 60



  1. Sumit purchased an item for ₹ 4000 and sold it at the gain% of 35%. From that amount, he purchased another item and sold it at the loss of 20%. What is his over all gain/loss ?









  1. View Hint View Answer Discuss in Forum

    CP1 = ₹ 4000
    SP1 = 4000 x 135/100 = ₹ 5400 CP2
    SP2 = 5400 x 80/100 = ₹ 4320
    CP1 < SP2
    Hence, profit earned here.
    ∴ Required gain = ( SP2 - CP1)

    Correct Option: B

    CP1 = ₹ 4000
    SP1 = 4000 x 135/100 = ₹ 5400 CP2
    SP2 = 5400 x 80/100 = ₹ 4320
    CP1 < SP2
    Hence, profit earned here.
    ∴ Required gain = ( SP2 - CP1)
    = 4320 - 4000 = ₹ 320