Multiple choice

Raman sells two beds at the same price. On the first he makes a profit of 20% and on the second he incurred a loss of 20%. Find his gain or loss percent in the whole transaction.

  1. Profit of 6%

  2. Loss of 6%

  3. Profit of 4%

  4. Loss of 4%

  5. Profit of 7%

Reveal answer Fill a bubble to check yourself
D Correct answer
Explanation

Let the S.P. of first bed be Rs x.Profit = 20%. C.P. = 100x / (100 + 20) = 5x / 6. Now, S.P. of the other bed is also 'x'. Loss = 20%. Similarly, C.P. = 5x / 4. C.P. of both the beds = (5x / 6) + (5x / 4) = 25x / 12S.P. of both beds = 2x. Therefore, loss incurred during the whole transaction = 0.08x. Loss% = (Loss/C.P.) x 100 = 3.85 = 4%