Question

A dealer sold a mixer for Rs. 420 at a
loss of 12.5%. At what price should he have
sold it to gain 12.5%?

Answer 1

Let the Cost price be CP.
Loss = CP * 12.5% 
Selling Price with loss = SP  =  CP - loss = CP - CP * 12.5%
              = CP * (100-12.5)/100 
 
        Rs 420 = CP * 87.5/100
 
           CP = Rs 42, 000/87.5 = Rs 480
 
      Profit expected = 12.5% 
        Selling price = C P + profit = CP + CP * 12.5 /100 = CP * 112.5/100
                    SP = Rs 480 * 112.5/100 = Rs 540