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A shopkeeper marks his goods 30% above his cost price but allows a discount of 10% at the time of sale. His gain is:

A. 21%

B. 20%

C. 18%

D. 17%

Answer: Option D

Solution(By Examveda Team)

Let the cost price be Rs. 100
then the mark up price which is 30% above the cost price,
Mark price = (100 + 30% of 100) = Rs. 130
Shopkeeper gives a discount of 10% on mark up price, then the
Selling Price = (130 - 10% of 130) = Rs. 117
Gain = 117 - 100 = Rs. 17
$$\% {\text{gain}} = \frac{{17 \times 100}}{{100}} = 17\% $$

Short Cut method:
100(CP) == 30%↑ ⇒ 130(MP) == 10%↓ ⇒ 117(SP)
Gain = 17%

This Question Belongs to Arithmetic Ability >> Profit And Loss

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Comments ( 4 )

  1. Abhishek Kumar
    Abhishek Kumar :
    7 years ago

    A shopkeeper marks his goods in such way that after allowing a discount of 12.5%on Mark price he still makes a profit of 10%. If the cost price of good is 245, then find its marked price.

  2. SUSHIL YADAV
    SUSHIL YADAV :
    8 years ago

    let solve this formula
    let profit value +30
    and discount or lose -10
    x+y+xy/100
    30-10-30*10/100 =17%

  3. SUNITHA HELAN
    SUNITHA HELAN :
    8 years ago

    Let the cost price be Rs.100.
    The marked price is 30% above the cost price.
    So, the marked price will be Rs.130.
    The discount is 10% and hence the selling price will be,
    90% of 130 = 90/100 * 130 = Rs.117.
    Gain = s.p - c.p = 117 - 100 = Rs.17
    gain % = gain/c.p * 100 = 17/100 * 100 = 17%

  4. Nikki
    Nikki :
    8 years ago

    i can't understand plz discuss me..

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