0
You visited us 0 times! Enjoying our articles? Unlock Full Access!
Question

# Hasan buys two kinds of cloth material for school uniforms, shirt material that costs him Rs. 50 per metre and the trouser material costs him Rs. 90 per metre. For every 3 metre of shirt material, he buys 2 metres of the trouser material. He sells the materials at 12% and 10% profit respectively. His total sale is Rs. 36600. How much trouser material did he buy?

Open in App
Solution

## The cost price of the shirt material =Rs. 50The cost price of the trouser material =Rs. 90For every 3 metres of shirt material, he buys 2 metres of trousers.Shirt material purchasedTrouser material purchased=32Let the shirt material purchased =3x metresand, the trouser material purchased =2x metresThe total cost of 3x metres shirt material =3x×50=Rs. 150xThe selling price of 3x metres shirt material @ 12% profit = C.P + Profit=150x+12% of 150x=150x(1+12100)=150x×112100=Rs. 168x The total cost of 2x metres trouser material =2x×90=Rs. 180xThe selling price (S.P) of 2x metres trouser material @ 10% profit =180x+10% of 180x=180x(1+10100)=180x×110100=Rs. 198xTotal Sale is given as Rs. 36600∴ S.P of total shirt material + S.P of total trouser material =Rs. 36600⇒168x+198x=36600⇒366x=36600⇒x=100So, the total trouser material hasan bought=2x=2×100=200 metres

Suggest Corrections
11
Join BYJU'S Learning Program
Related Videos
Depreciation
MATHEMATICS
Watch in App
Explore more
Join BYJU'S Learning Program