Word Problem* 8_

Problem 8: A shopkeeper sales a pen for 13.20 Rs and gets a profit of 10%. If he wants to increase his profit to the limit of 15%, then at what price should he sale the pens ?

a) 13.53 Rs                   b) 13.72 Rs                            c) 13.80 Rs                    d) 13.86 Rs

Solution:

We suppose Cost Price (CP) of Pen is ‘x’

i-e

We  are given that  Sale Price (SP) is 13.20 Rs

i-e

Also given that profit is 10 % of CP i-e;

We know the profit formula

Put respective values

Shifting ‘x’ terms to one side

Simplifying,

So, we have calculated CP as Rs 12

Now Come to Condition

If  we want to earn 15% profit of cost price i-e

Then what should be the SP ?

We Know

Put values of condition !

Shift ‘x’ terms to one side

or

Put value of x

So he should sale it for 13.80 Rs for earning 15% profit

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