Multiple choice

A dealer sold two T.V. sets for Rs 2,400 each, gaining 20% on one set and losing 20% on the other set. Find gain or loss percentage.

  1.  loss $\% = 4.5\%$
  2.  loss $\% = 2\%$
  3. loss $\% = 3\%$
  4. loss $\% = 4\%$
Reveal answer Fill a bubble to check yourself
D Correct answer
Explanation

When two items are sold at the same price with equal percentage gain and loss, the overall result is always a loss of (x/10)^2 percent. Here, (20/10)^2 = 2^2 = 4% loss.

AI explanation

When two items are sold at the same selling price with a 20 percent gain on one and a 20 percent loss on the other, the net result is always a loss. The net loss percentage formula is x squared divided by 100, where x is the common profit or loss percentage. Substituting x as 20 gives 20 squared divided by 100. This equals 400 divided by 100, which results in a 4 percent loss.

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