Profit and Loss


  1. A woman bought eggs at ₹ 30 per dozen, The selling price per hundred so as to gain 12% will be (in ₹)









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    12 egg cost ₹ 30
    Then cost price of 1 eggs = 35 x 12 = #8377; 2.5
    Cost price of 100 eggs = 25 x 100 = ₹ 250
    Now, let the SP of 100 eggs ₹ N.
    Then [(SP - CP) / CP] x 100= profit % [(N - 250)/250] x 100 = 12
    ⇒ (N - 250)/(2/5) =12

    Correct Option: A

    12 egg cost ₹ 30
    Then cost price of 1 eggs = 35 x 12 = #8377; 2.5
    Cost price of 100 eggs = 25 x 100 = ₹ 250
    Now, let the SP of 100 eggs ₹ N.
    Then [(SP - CP) / CP] x 100= profit % [(N - 250)/250] x 100 = 12
    ⇒ (N - 250)/(2/5) =12
    ⇒ N- 250 = (12 x 5)/2= 30
    N = 250 + 30 = ₹ 280


  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. 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. 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