# 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**

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**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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