Profit and Loss

Profit and Loss

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  1. A shopkeeper sells wheat at a profit of 10% and uses weight which are 20% less than the actual weight. The total gain earned by him will be ?








  1. View Hint View Answer Discuss in Forum

    Let the actual price of per kg of wheat = ₹ . 100
    Then, selling price = 110% of 100 = ₹ 110

    Now, shopkeeper sell 20% less than actual weight so cost price to shopkeeper will be = 80% of 100
    = (80 x 100)/100
    = ₹ 80

    Correct Option: C

    Let the actual price of per kg of wheat = ₹ . 100
    Then, selling price = 110% of 100 = ₹ 110

    Now, shopkeeper sell 20% less than actual weight so cost price to shopkeeper will be = 80% of 100
    = (80 x 100)/100
    = ₹ 80

    Hence, required profit gained by shopkeeper = [(110 - 80)/80] x 100
    = (30/80) x 100
    = 37.5%

  1. What is the percentage profit made by selling an umbrella at a certain price, if by selling at 2/3rd of that price, there would be a loss of 10% ?








  1. View Hint View Answer Discuss in Forum

    Let the selling price for the umbrella is P.
    Cost price for the umbrella is Q.

    Now from question
    Q - 2P/3 = 10% of Q.

    Correct Option: C

    Let the selling price for the umbrella is P.
    Cost price for the umbrella is Q.

    Now from question
    Q - 2P/3 = 10% of Q.
    ⇒ P = (3/2)(Q - 10% of Q)
    ⇒ P = (3/2) x (90/100) x Q
    ∴ P = 1.35 x Q.

    So % profit = [(1.35 x Q - Q)/Q]x100 % = 35 % profit.

  1. Charu purchased a dinner set at 3/10th of its selling price and sold it at 10% more than its CP. Find the gain per cent. ?








  1. View Hint View Answer Discuss in Forum

    Let SP = ₹ 100
    ∴ CP = (3/10) x 100 = ₹ 30
    New SP = (30 x 110)/100 = ₹ 33
    Gain = 33 - 30 = ₹ 3

    Correct Option: D

    Let SP = ₹ 100
    ∴ CP = (3/10) x 100 = ₹ 30
    New SP = (30 x 110)/100 = ₹ 33
    Gain = 33 - 30 = ₹ 3
    Gain % = (3/30) x 100% = 300/30 % = 10%

  1. The owner of a furniture shop charges his customer 18% more than the CP. if a customer paid ₹ 10207 for a dining table, then find its original price.








  1. View Hint View Answer Discuss in Forum

    Original CP = [100/(100 + Gain%)] x SP
    = (108/118) x 10207

    Correct Option: B

    Original CP = [100/(100 + Gain%)] x SP
    = (108/118) x 10207 = ₹ 8650

  1. Meena purchased two fans each at ₹ 1200. She sold one fan at the loss of 5% and other at the gain of 10%. Find total gain or loss per cent ?








  1. View Hint View Answer Discuss in Forum

    Total CP = 2 x 1200 = ₹ 2400
    SP of 5% loss = (95/100) x 1200 = ₹ 1140
    SP at 10% gain = (110/100) x 1200 = ₹ 1320
    Total SP = 1140 +1320 = ₹ 2460
    ∴ Gain = 2460 - 2400 = ₹ 60

    Correct Option: C

    Total CP = 2 x 1200 = ₹ 2400
    SP of 5% loss = (95/100) x 1200 = ₹ 1140
    SP at 10% gain = (110/100) x 1200 = ₹ 1320
    Total SP = 1140 +1320 = ₹ 2460
    ∴ Gain = 2460 - 2400 = ₹ 60
    Gain % = (60/2400) x 100% = 2.5%