7. Hasan buys two kinds of cloth materials for school uniforms, shirt material that costs him $ 50 per metre and trouser material that costs him $ 90 per metre for every 3 meter of the shirt material he sells the material at 12% and 10% profit respectively.his total sales $36,600. how much trouser material did he buy
Answers
Answer:
Shirt: Trousers
3: 2
Let shirt material be= 3x
Let trouser material be= 2x
Cost of shirt material= 3x× $50
= $150x
Cost of trouser material= 2x× $90
= $180x
Profit on shirt material= 12%
⇒ 150x+ [12/100×150x]
= 150x+ 18x
= 168x
Profit on trouser material= 10%
⇒ 180x+ [10/100× 180x]
= 180x+ 18x
= 198x
Total profits= 168x+ 198x
= 366x
Total sales= $36,600
⇒ 366x= 36600
⇒ x= 36600/366
⇒ x= 100
Shirt material= 3x
= 300 metres
Trouser material= 2x
= 200 metres
VERIFY:
Shirt material= 300 m
Cost of shirt material= $50/m
Total cost= $15000
Profit= 12%
12/100× 15000
= 1800
Total sale of shirt= 15000+ 1800
= $16800
Trouser material= 200 m
Cost per metre= $90
Total cost= $18000
Profit= 10%
10/100× 18000
= 1800
Total sale of trouser= 18000+ 1800
= 19800
Total sale= 16800+ 19800
= $36,600
The answer of verification matches that of the statement.
So, you have got your answer.
Hope it helps.
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