Multiple choice

On selling each of the two radios for Rs. $5000$ a person neither gained nor lost. If he had sold one radio at $25\%$ gain, then at what percent loss did she sell the $2^{nd}$ radio

  1. $\displaystyle 16\frac{2}{3}$ $\%$
  2. $\displaystyle 18\frac{2}{9}$ $\%$
  3. $25\%$
  4. $\displaystyle 26\frac{2}{3}$ $\%$
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A Correct answer
Explanation

Selling price of each is 5000. Total SP = 10000. No gain/loss means Total CP = 10000. CP1 = 5000 / 1.25 = 4000. CP2 = 10000 - 4000 = 6000. Loss on second = 6000 - 5000 = 1000. Loss% = (1000/6000) * 100 = 16 2/3%.

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