Hasan buys two kinds of cloth materials for school uniforms, shi

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 Multiple Choice QuestionsLong Answer Type

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81.

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 metres 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 36,600. How much trouser material did he buy?


Let the length of cloth for trousers = 2x metres

∴    The length of cloth for shirts = 3x metres

              Cost of trouser's cloth = 2x cross times Rs 90
                                           = Rs 180 x

              Cost of shirt's cloth = 3x cross timesRs 50
                                        = Rs 150 x

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                                               = Rs 198 x

S.P. of shirt's cloth at 12% profit = Rs 112 over 100 cross times 150 x
                                          
                                            = Rs 168x

∴                               Total S.P. = Rs 198x + Rs 168x
                                              = Rs 366x

  But the total                      S.P. = Rs 36600

∴                                      366x = 36600

or                                          x equals 36600 over 366   [Dividing both sides by 366]

                                                = 100

∴                                         2x = 2 cross times 100 = 200

   Thus, he bought cloth for trousers = 200 metres.

   

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