SK BELLARE
SK BELLARE
8 years ago

The selling price of a pen is Rs.34.50. If the profit percent is numerically half of it's cost price then find it's cost price.

A. Rs. 20

B. Rs. 30

C. Rs. 15

D. Rs. 40

Answer: Option B

Solution(By Examveda Team)

Best to go through Option checking,
20 and 15 cannot be the correct answer. You can visualize it as 10% of 20 is 2. SP is not matching.
Now, taking 40. It is also not possible because there is given profit percent. If CP is 40 then SP cannot be lower than 40 to get profit.
So, the correct answer would be 30.
30 + 15% of 30 = 34.5.

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Comments ( 1 )

  1. Diwakar Prajapati
    Diwakar Prajapati :
    8 years ago

    From the formula,
    SP=CP(1+P/100) ,where SP=selling price, CP=cost price and P=profit percentage
    34.50=CP(1+CP/200) ,P=CP/2
    69/2=CP+CP*CP/200
    CP*CP/200+CP-69/2=0
    CP*CP+200CP-6900=0 ,multiplying both sides by by 200
    CP*CP+230CP-30CP-6900=0
    CP(CP+230)-30(CP+230)=0
    (CP+230)(CP-30)=0
    Either CP= -230, which cannot be possible
    or CP=30
    SO Cost Price=CP= Rs 30

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