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A dishonest dealer marks up the price of his goods by 20% and gives a discount of 10% to the customer. He also uses a 900 gram weight instead of a 1 kilogram weight. Find his percentage profit due to these maneuvers?

A. 8%

B. 12%

C. 20%

D. 16%

Answer: Option C

Solution (By Examveda Team)

He sells only 900 grams when he takes the money for 1 kg.
and
he sells at a 8% profit (20% markup, 10% discount)
Hence, his selling price is Rs. 108 for 900 grams
% profit = $$\frac{{18}}{{90}} \times 100$$   = 20%

This Question Belongs to Arithmetic Ability >> Profit And Loss

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Comments (8)

  1. Moaz Ali
    Moaz Ali:
    1 year ago

    This could be done by a ratio of cp to sp
    3 senarios cp:sp
    1st 10:12 (20 percent profit)
    2nd 10:9 (10 percent discount)
    3rd 900:1000 (900 cost selling 1000)
    Overall- (10*10*900/12*9*1000)
    Simply - cp:sp = 10:12
    Now profit 12-10=2
    Profit percentage - (2/10)*100=20 percent
    So, Answer C- 20 percent

  2. Rupashree Mohanty
    Rupashree Mohanty:
    4 years ago

    Let cp =1000
    Sp=1080
    1000=1080, but he sold 900=1080
    Then profit 180
    P%=180/900*100=20%

  3. Md Helal
    Md Helal:
    7 years ago

    Deduction in weight : ( 100*100)/1000 = 10%
    Applying multiplying factor concept:
    100*(6/5)*(9/10)*(10/9) = 120
    So profit = ( 120 - 100 ) = 20%
    Solved by : Md.Helal Uddin

  4. Dipanshu Sharma
    Dipanshu Sharma:
    8 years ago

    let the cost be 100rs per Kg (ie rs.100/1000g)
    he sells only 900gms means his real cost is 90rs/900gm
    his selling price is 100+20=120-12=108
    profit=108-90=18
    profit %= 18/90*100=20%answer

  5. Rupali Gupta
    Rupali Gupta:
    8 years ago

    900 gm is sold at Rs. 1080..??? Plz explain it...

  6. Bikash Roy
    Bikash Roy:
    9 years ago

    Profit = (18/90) * 100 ?? Plz explain it.

  7. Anil Rolta
    Anil Rolta:
    9 years ago

    Let CP = ₹ 1/gram;
    Then, he sells 900 g is ₹ 1080;
    While the CP of 900 grams is ₹ 900.
    % profit = (180*100)/900 = 20%.

  8. Azhar Mahmood
    Azhar Mahmood:
    9 years ago

    Profit = (18/90) * 100 ?? Plz explain it.

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