Question

a man sells an article at a loss of 10%, had he sold it for rupees 112 more. he would have gained 6% what is the cost price of the article?

Answer 1

Let the cost of the article be Rs x

the man sold it at 10% loss

Hence cost of article after loss = x – 10% of x

                                              = (90x/100) = (9x/10)

Gain on Rs x is 6%

Cost of the article after the gain = x + 6% of x

                                           = x + (6x/100)

                                           = 106x/100

Hence (9x/10) + 112 = (106x/100)

           90x +11200 = 106x

   11200 = 16x

 x =700 Ans.