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Last updated at June 21, 2018 by Teachoo

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Ex 2.4, 7 Hasan buys two kinds of cloth materials for school uniforms, shirt material that costs him Rs 50 per metre and trouser material that costs him Rs 90 per metre. For every 2 meters of the trouser material he buys 3 metres of the shirt material. He sells the materials at 12% and 10% profit respectively. His total sale is Rs 36,660. How much trouser material did he buy?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. (๐โ๐๐๐ก ๐๐๐ก๐๐๐๐๐ ๐๐ข๐๐โ๐๐ ๐๐)/(๐๐๐๐ข๐ ๐๐ ๐๐๐ก๐๐๐๐๐ ๐๐ข๐๐โ๐๐ ๐๐)=3/2 Let shirt material purchased = 3๐ฅ meters & trouser material purchased = 2๐ฅ meters Shirt material Cost price = Cost of 1 meter ร Quantity = 50 ร 3๐ฅ = (50 ร 3) ๐ฅ = 150๐ฅ Hasan sells the shirt material at 12% profit Profit = 12% ร Cost price = 12/100ร150๐ฅ = 18๐ฅ Sell Price = Cost price + Profit = 150๐ฅ + 18๐ฅ = 168๐ฅ Let shirt material purchased = 3๐ฅ meters & trouser material purchased = 2๐ฅ meters Shirt material Cost price = Cost of 1 meter ร Quantity = 50 ร 3๐ฅ = (50 ร 3) ๐ฅ = 150๐ฅ Hasan sells the shirt material at 12% profit Profit = 12% ร Cost price = 12/100ร150๐ฅ = 18๐ฅ Trouser material Cost price = Cost of 1 meter ร Quantity = 90 ร 2๐ฅ = (90 ร 2) ๐ฅ = 180๐ฅ Hasan sells the trouser material at 10% profit Profit = 10% ร Cost price = 10/100ร180๐ฅ = 18๐ฅ Trouser material Cost price = Cost of 1 meter ร Quantity = 90 ร 2๐ฅ = (90 ร 2) ๐ฅ = 180๐ฅ Hasan sells the trouser material at 10% profit Profit = 10% ร Cost price = 10/100ร180๐ฅ = 18๐ฅ Therefore, Sell price of shirt material = 168๐ฅ and Sell price of trouser material = 198๐ฅ Given that Hasan's total sale amount = Rs 36,600 Sell price of shirt material + Sell price of trouser material = Rs 36,600 168๐ฅ + 198๐ฅ = 36,600 366๐ฅ = 36,600 ๐ฅ = 36600/366 ๐ฅ = 100 โด Quantity of the trouser material Hasan buys = 2๐ฅ = (2 ร 100) = 200 meters

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Davneet Singh

Davneet Singh is a graduate from Indian Institute of Technology, Kanpur. He has been teaching from the past 9 years. He provides courses for Maths and Science at Teachoo.