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A dealer offers a cash discount of 20% and still makes a profit of 20%, when he further allows 16 articles to a dozen to a particularly sticky bargainer. How much percent above the cost price were his wares listed?

A. 100%

B. 80%

C. 75%

D. $$66\frac{2}{3}$$%

Answer: Option A

Solution(By Examveda Team)

Let the CP of the article be Rs. x, since he earns a profit of 20%, hence SP = X + 20% of X = 1.2x
It is given that he incurs loss by selling 16 articles at the cost of 12 articles [loss = $$\frac{{16 - 12}}{{16}}$$  = 25%]
His selling price = SP - 25% of SP = SP × 0.75
Hence, SP × 0.75 = 1.2X
Or, SP = $$\frac{{1.2 \times {\text{x}}}}{{0.75}}$$  = 1.6X
This SP is arrived after giving a discount of 20% on MP.
Let MP = Y
Y - 20% of Y = SP
0.80Y = 1.6X
Y = 2X
It means that the article has been marked 100% above the cost price. Or Marked Price was twice of cost price.

This Question Belongs to Arithmetic Ability >> Profit And Loss

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Comments ( 5 )

  1. Subrat Das
    Subrat Das :
    2 weeks ago

    loss by selling 16 articles at the cost of 12 articles = 16-12/16 = 25%
    Discount 20% + loss consider ( discount) 25%= total discount 40% and still profit 20%.
    suppose, MP : 100 , SP after discount = (100-40)= 60 ,CP = 50

    How much percent above the cost price were his wares listed =100-50/50 =100%

  2. Rased Khan
    Rased Khan :
    4 years ago

    100-20=80
    100+20=120
    now 80*120/100=96
    100-96=4%
    16-12/16*100=25%
    now 4%*25%=100%

  3. Md Helal
    Md Helal :
    5 years ago

    CP : SP = 3 : 4 (Quantity)
    CP : SP = 4 : 3 (Price)
    MP*(4/5)*(3/4) = (6/5)*CP
    ⇒ MP : CP = 2 : 1
    Above% = 1*(100/1) = 100%

  4. Shubham Singh
    Shubham Singh :
    6 years ago

    M4/5*12/16=6/5C
    M/c=2/1

    2-1=1/1=100%

  5. Pranshu Kakkar
    Pranshu Kakkar :
    7 years ago

    This question seems incomplete as the solution given mentions some loss on a dozen.

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