# Word Problem 1

**Problem 1: How much percent a tradesman increase on to the cost price to his goods so that he may make a net profit of 10% after allowing a customer a discount of 4% of his bill ?**

**a. 14-7/12% b. 16-1/2% c. 20% d. 19-1/2%**

(word problems on job exam mathematics.)

**Solution:**

We suppose her that Cost Price is ‘y’

i-e CP=y

**First we will calculate Selling Price SP by using Profit formula**

We know that;

or

But Profit is 10% of cost price i-e

Put values in above relation

This is selling price !

**Now we will calculate Marked Price MP using Discount formula;**

Formula for Discount percentage is ;

in short we write

Now discount %age is given to be 4%

so,

But We have calculated above

Put value;

This is marked price !

**Now finally we can calculate sought increase in Cost Price CP using formula**

Putting values of MP and CP and simplifying

**So the option ‘a’ is correct**