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CBSE Class 9 Answered

hasan buys two kinds of cloth material for school uniforms, shirt material that costs hom Rs 50 per metre and trouser material that costs him Rs 90 per metre.for every 3 meterts of shirt material he buys 2 meters of the trouser material . he sells the material at 12% and 10% profit respectively. his total sale is Rs 36,600. how much trouser material did he buy ?
 
Asked by Subham | 25 Sep, 2016, 10:35: AM
answered-by-expert Expert Answer
begin mathsize 16px style Cost space of space 1 space straight m space shirt space material space equals space Rs. space 50 Cost space of space 1 space straight m space trouser space material space equals space Rs. space 90 Let space the space length space of space shirt space material space be space 2 straight x space and space length space of space trouser space material space be space 3 straight x. rightwards double arrow straight S. straight P. space of space 1 space straight m space of space trouser space material equals space Rs. space open parentheses 90 cross times 2 straight x space plus space 12 over 100 cross times 90 cross times 2 straight x close parentheses equals Rs. space open parentheses 180 straight x space plus space fraction numerator 108 straight x over denominator 5 end fraction close parentheses rightwards double arrow straight S. straight P. space of space 1 space straight m space of space shirt space maerial space equals space Rs. space open parentheses 50 cross times 3 straight x space plus space 10 over 100 cross times 50 cross times 3 straight x close parentheses equals Rs. space open parentheses 150 straight x space plus 15 straight x close parentheses Total space sale space equals space Rs. space 36600 Thus comma space we space have 180 straight x space plus space fraction numerator 108 straight x over denominator 5 end fraction plus 150 straight x space plus 15 straight x space equals space 36600 rightwards double arrow 345 straight x space plus space fraction numerator 108 straight x over denominator 5 end fraction space equals space 36600 rightwards double arrow 1725 straight x space plus space 108 straight x space equals space 36600 space cross times space 5 rightwards double arrow 1833 straight x space equals space 183000 rightwards double arrow straight x space equals 99.83 space almost equal to 100 rightwards double arrow Trouser space material space equals space 2 straight x space equals space 2 cross times 100 space equals space 200 space straight m space end style
Answered by Rashmi Khot | 26 Sep, 2016, 10:25: AM

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