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Question

A girl sold her pen for Rs. 39 and got a percentage of profit numerically equal to the cost price. The cost price of that pen is :

A
130
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B
90
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C
60
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D
30
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Solution

The correct option is D 30
Let C.P. was Rs. x, then % profit must be x%
Selling price = Rs. 39
Therefore, cost price + profit =39
x+x% of x=39
x+(x2)/100=39
100x+x2=3900
x2+100x3900=0
x2+130x30x3900=0
x=130,30
Cost price cannot be negative, so cost price was Rs. 30.

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