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.
(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 × Quantity
= 50 × 3𝑥
= (50 × 3) 𝑥
= 150𝑥
Hasan sells the shirt material at 12% profit
Profit = 12% × Cost price
= 12/100×150𝑥
= 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 × Quantity
= 50 × 3𝑥
= (50 × 3) 𝑥
= 150𝑥
Hasan sells the shirt material at 12% profit
Profit = 12% × Cost price
= 12/100×150𝑥
= 18𝑥
Trouser material
Cost price
= Cost of 1 meter × Quantity
= 90 × 2𝑥
= (90 × 2) 𝑥
= 180𝑥
Hasan sells the trouser material at 10% profit
Profit = 10% × Cost price
= 10/100×180𝑥
= 18𝑥
Trouser material
Cost price
= Cost of 1 meter × Quantity
= 90 × 2𝑥
= (90 × 2) 𝑥
= 180𝑥
Hasan sells the trouser material at 10% profit
Profit = 10% × Cost price
= 10/100×180𝑥
= 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
𝑥 = 36600/366
𝑥 = 100
∴ Quantity of the trouser material Hasan buys = 2𝑥
= (2 × 100)
= 200 meters

Made by

Davneet Singh

Davneet Singh is a graduate from Indian Institute of Technology, Kanpur. He has been teaching from the past 12 years. He provides courses for Maths and Science at Teachoo.