Profit and Loss

Profit and Loss

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  1. The difference between the CP and SP of the article is ₹ 240. If the profit is 20%, the selling price is ?








  1. View Hint View Answer Discuss in Forum

    Given, gain% = 20
    Different between SP and CP = 240
    Now, gain% = [(SP - CP)/ CP] x 100
    ⇒ 20 = [240/CP] x 100
    ⇒ CP = 240 x 5
    ⇒ CP = 1200

    Correct Option: A

    Given, gain% = 20
    Different between SP and CP = 240
    Now, gain% = [(SP - CP)/ CP] x 100
    ⇒ 20 = [240/CP] x 100
    ⇒ CP = 240 x 5
    ⇒ CP = 1200
    ∴ SP = 1200 + 240 [∵ SP - CP = 240]
    = 1440

  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

  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. Raj sold an item for ₹ 6384 and incurred a loss of 30%. At what price should he have sold the item to have gained a profit of 30%








  1. View Hint View Answer Discuss in Forum

    CP = 100/70 = x 6384 = ₹ 9120
    To gain 30%, SP = 130% of 9120
    SP = (130/100) x 9120

    Correct Option: B

    CP = 100/70 = x 6384 = ₹ 9120
    To gain 30%, SP = 130% of 9120
    SP = (130/100) x 9120 = ₹ 11856