Hasan buys two kinds of cloth materials for school uniforms, shirt material that costs him Rs.50 per meter and trouser material that costs him Rs.90 per metre. For every 3 metres of shirt material he buys 2 metres of trouser material. He sells the material at 12% and 10% profit respectively. His total sale is Rs.36,600.
(a) How much shirt material does he buy?
Answers
Answer : 200m
Step-by-step explanation:
Given,
Cost of shirt material = Rs 50 per meter
Cost of trouser material = Rs 90 per meter
&
For every 3 meters of the shirt material, he buys 2 meter of the
trouser material.
Shirt material purchased /Trouser material purchased
=3/2
Let shirt material purchased = 3x meters & trouser material purchased = 2x meters
Shirt material
Cost price
= Cost of 1 meter x Quantity
= 50 x 3x
= (50 * 3) x
= 150x
teachoo.com
Hasan sells the shirt material at 12% profit
Profit 12% x Cost price
=12/100 x 150x
= 18x
Sell Price Cost price + Profit
= 150x + 18x
= 168x
Let shirt material purchased = 3x meters
& trouser material purchased = 2x meters
Shirt material
Cost price
= Cost of 1 meter x Quantity.
= 50 * 3x
= (50* 3) x
= 150x
Trouser material
Cost price = Cost of 1 meter x Quantity
= 90*2x
= (90*2) x
= 180x
Hasan sells the shirt material
at 12% profit
Profit 12% x Cost price
12 /100*150x
= 18x
Hasan sells the trouser
material at 10% profit
Profit= 10% x Cost price
10/100*180x
100
18x
Therefore,
Sell price of shirt material = 168x
and Sell price of trouser material = 198x
Given that
Hasan's total sale amount = Rs 36,600
Sell price of shirt material + Sell price of trouser material = Rs 36,600
168x + 198x = 36,600
366x = 36,600
36600 X=366
x= 100
Quantity of the trouser material Hasan buys = 2x
= (2x 100)
=200m