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Q.

Hasan buys two kinds of cloth materials for school uniforms, shirt material that costs him Rs. 50 per meter and trouser material that costs him Rs. 90 per meter. For every 3 meters of the shirt material he buys 2 meters of the trouser material. He sells the materials at 12% and 10% profit respectively. His total sale is Rs. 36,600. How much trouser material did he buy?

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a

200

b

75

c

47

d

115 

answer is A.

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Detailed Solution

Concept- When we are given two or more integers, one of which is unknown, we can use linear equations in one variable to calculate the value of an integer.
Let material bought for trousers and shirts be Question Image meters and Question Image meters respectively.
Cost price of Question Image metres of trouser material at Rs. 90 per metre Question Image Rs Question Image and
Cost price of Question Image metres of shirt material at Rs. 50 per metre Question Image RsQuestion ImageHere, profit in case of shirt material Question Image.
Then, S.P. Question ImageAlso, profit in case of trouser material Question ImageQuestion Image S.P. Question ImageQuestion Image Total selling price = Rs. Question ImageQuestion ImageHere, the total selling price is given as Rs. 36,600.
Question ImageThus, the trouser material purchasedQuestion ImageQuestion ImageHence, the correct answer is option 1) 200.
 
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Hasan buys two kinds of cloth materials for school uniforms, shirt material that costs him Rs. 50 per meter and trouser material that costs him Rs. 90 per meter. For every 3 meters of the shirt material he buys 2 meters of the trouser material. He sells the materials at 12% and 10% profit respectively. His total sale is Rs. 36,600. How much trouser material did he buy?