Question

hasan buys two kinds of cloth materialsfor school uniforms,shirt material that cost him Rs50 per metre and trouser material that cost him Rs90 per metre. for every 3 metres of the shirt material he buys 2 metres of the trouser material. he sells the materials at 12% and 10% profit respectively his total sale is Rs36,600. how much trouser material did he buy ?


from ncert page no32

Answer 1

Suppose that he bought x metres of trouser material ,
 For every 2 metres of trouser material he buys 3 metres of shirt material
For every x metres of trouser material = 3x/2 (3x divided by 2)metres of shirt material
:.  Cost of trouser material = x multiplied by rs. 90
                                             = Rs. 90 x


Cost of shirt material = 3x/2 multiplied by Rs.50
                                    = Rs. 75x


Profit 10 % = Rs.9x
Profit 12 % = Rs.9x


S.P of trouser material = RS 90x + RS.9x
                                        = RS.99x
S.P of  shirt material = RS.75x + RS.9x
                                     = RS.84x

Total sale price = S.P of (Trouser+shirt)
                            = RS.99x + RS.84x
                           = RS.183x

His total sale is Rs 36,600
                183x = 36,600
                       x = 36,600/183
                     x = 200 mt


Therefore Hasan bought 200mts of trouser material .