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Hasan buys two kinds of cloth meterials for school uniform shirt material that costs him ₹50per meter qnd trouser materials that costs him ₹90 per meter for every 3meter of the shirt materials he buy 2meter of the trouser material he sells the material at 12% to 10% profit respectively his total saleis ₹36, 600 how much trousee didhe buy? |
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Answer» Answer: Let RATIO between shirt MATERIAL and trouser material be 3x:2x3x:2x. The cost of shirt material = 50\times3x=150x50×3x=150x The selling price at 12% gain = \frac{100+P\%}{100}\times CP 100 100+P%
×CP = \frac{100+12}{100}\times150x 100 100+12
×150x = \frac{112}{100}\times150x=168x 100 112
×150x=168x The cost of trouser material = 90\times2x=180x90×2x=180x The selling price at 12% gain = \frac{100+P\%}{100}\times CP 100 100+P%
×CP = \frac{100+10}{100}\times180x 100 100+10
×180x = \frac{110}{100}\times180x=198x 100 110
×180x=198x According to the question, 168x+198x=36,600168x+198x=36,600 \Rightarrow366x=36600⇒366x=36600 \Rightarrow x=\frac{36600}{366}=100⇒x= 366 36600
=100 METERS. Now, trouser material = 2x=2\times1002x=2×100 = 200 meters Hence, Hasan bought 200 meters of the trouser material. |
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