Question

On selling each of the two radios for 5000, a
person neither gained nor lost. If he had sold one
radio at 25% gain, then at what loss per cent did
he sell the other radio ?​

Answer 1

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Given SP = 5000 and Gain = 25%.

Then the CP = 5000 * 100/125

                      = 4000.

Given SP = 5000 and Let the loss be x.

Then the CP = 5000 * 100/(100 - x)

                     = 500000/(100-x).

Given that he neither gained nor lost

4000 + 500000/(100 - x) = 10000 (Total SP)

500000/(100 - x) = 6000

6000x = 100000

x = 100/6 %

   = 50/3 %

   = 16 2/3%.