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 | 25th Sep, 2016, 10:35: AM

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 | 26th Sep, 2016, 10:25: AM

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