Question

There is some loss on selling a radio for Rs. 400. If the same radio is sold forRs. 500 then there is a profit equal to 2/3of the previous loss .find
cost price of the radio.​

Answer 1

Answer:

Rs. 460

Step-by-step explanation:

Let the cost price be (400 +x)

So, Loss when he sold for Rs 400 = C.P - S.P. = (400 +x) - 400 = x

And, profit when he sold for Rs. 500 = S.P - C.P= 500 - (400+x) = (100 - x)

Now,  2/3 of loss = profit

          => (2/3)x = 100 -x {According to question}

          => (5/3)x = 100

           => x= 60

So, Cost price  = 400 + x = 400 +60 = Rs. 460