Multiple choice

Akash bought two DVDs for Rs. 400. He sells one at a profit of 20% and other at a loss of 20%. If SP of each is the same, then find the total gain or loss percent.

  1. 5% loss

  2. 4% loss

  3. 8% profit

  4. 8% loss

  5. 4% profit
Reveal answer Fill a bubble to check yourself
B Correct answer
Explanation

SP is same. Let SP = 120. CP1 = 120/1.2 = 100. CP2 = 120/0.8 = 150. Total CP = 250. Total SP = 240. Loss = 10. Loss % = (10/250) * 100 = 4%.

AI explanation

When two articles are sold at the same price and one is sold at a profit of x% while the other is sold at a loss of x%, there is always a net loss percentage given by the formula: (x squared) divided by 100. Substituting x as 20, the net loss is (20 multiplied by 20) divided by 100, resulting in a 4% loss.

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