Question

John sold a fan at a loss of 7%. If he had sold it for Rs. 48 more, he would have gained 5%, Find the cost price of the fan

Answer 1

Answer:

The answer is 400 Rs.

Explanation:

Let's suppose the original price is = x

Now calculate the loss:

Loss = 7%

So selling prices will be = x(100-loss)/100

                                     = x(100 - 7%)/100

                                     = 93x/100 .........(1)

Now find the gain:

Gain = 5%  

So the price will be =   x(100 + Gain)/100

                              =   x(100 +5 )/100

                              = 105x/100 .......(2)

Now subtract equation (1) from (2) and it will become:

                    105x/100 - 93x/100 = 48

                    12x/100  = 48

                     12x = 100 x 48

                      x    = 100 x 48 / 12

                      x =  400 Rs

Thus the price of tha fan is 400 Rs.