Q.7 Hasan buys two kinds of cloth materials for school uniforms, shirt material that costs him ₹50 per meter and trouser material that costs him ₹90 per meter. For every 3 meters of the shirt material, he buys 2 meters of the trouser material. He sells the materials at 12% and 10% profit respectively. His total sale is ₹36,600. How much trouser material did he buy?

Answers (1)

Let the total shirt material that Hasan bought be x metre.

and the total trouser material be y metre.

As per the question,

                       \frac{x}{3} = \frac{y}{2}

Thus trouser material     y = \frac{2}{3}x

Now we will make another equaion by using cost of the materials.

Profit for shirt is 12% i.e., selling price of shirt is

                               =50 +\frac{12}{100}\times 50 = 50 + 6 = 56

and selling price for trouser is

                            =90 +\frac{10}{100}\times 90 = 90 + 9 = 99

Hence equation becomes:  

                        x\left ( 56 \right ) + \frac{2}{3}x\left ( 99 \right ) = 36600

or                       56x + 66x = 36600

or                            122x = 36600

 Dividing both sides by 122:

                             x = 300

Thus trouser material that Hasan bought was = 200 meter

                     \left ( \frac{2}{3}x = \frac{2}{3}\times300 = 200 \right )

                         

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