Profit and Loss


  1. A man gained 10% by selling an article for a certain price. If the sells it at double the price, then the profit made is ?









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    Let CP of the article be ₹ N
    Then, SP = 110% of x = 1.1N
    If SP be double i.e., 2.2N, then
    Profit per cent= [(2.2N - N)/ N] x 100%

    Correct Option: A

    Let CP of the article be ₹ N
    Then, SP = 110% of x = 1.1N
    If SP be double i.e., 2.2N, then
    Profit per cent= [(2.2N - N)/ N] x 100% = 120%


  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. A man purchases as certain number of oranges at 4 a rupee and the same number of orange at 5 a rupees. He mixes them together and sells them at 4 a rupee. What is the gain or loss percent?









  1. View Hint View Answer Discuss in Forum

    CP of 1 orange for 1st rate = ₹ 1/4
    CP of 1 orange for 2nd rate ₹ 1/5
    CP of 2 orange after mixing = 1/4 + 1/5 = ₹ 9/20.
    CP of 1 orange after mixing ₹ 9/20 X 2 = ₹ 9/40
    SP Of 1 orange after mixing = ₹ 1/4
    ∴ Gain = 1/4 - 9/40 = ₹ 1/40

    Correct Option: C

    CP of 1 orange for 1st rate = ₹ 1/4
    CP of 1 orange for 2nd rate ₹ 1/5
    CP of 2 orange after mixing = 1/4 + 1/5 = ₹ 9/20.
    CP of 1 orange after mixing ₹ 9/20 X 2 = ₹ 9/40
    SP Of 1 orange after mixing = ₹ 1/4
    ∴ Gain = 1/4 - 9/40 = ₹ 1/40
    ∴ Gain = (1/40 x 40/9 x 100)% = 100/9%
    = 111/9%


  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%



  1. A man sold an article for ₹ 322, gaining 1/6th of his outlay. Find the cost price of the article ?









  1. View Hint View Answer Discuss in Forum

    Let CP = N, then gain = N/6
    According to the question,
    N + N/6 = 322

    Correct Option: D

    Let CP = N, then gain = N/6
    According to the question,
    N + N/6 = 322
    ⇒ 7N/6 = 322
    ∴ N = 322 x 6/7 = ₹ 276