Multiple choice

A trader bought two articles for Rs.490. He sold one at a loss of 20% and the other at a profit of 16%. If the selling price of both articles is the same, then the cost price (in Rs.) of the article sold at 20% loss is:

  1. 300

  2. 280

  3. 310

  4. 290

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

Let CPs be x and y. SP1 = 0.8x, SP2 = 1.16y. Since SP1 = SP2: 0.8x = 1.16y, so y = (0.8/1.16)x. Total: x + (0.8/1.16)x = 490. x(1 + 0.8/1.16) = 490. x = 490 × 1.16/1.96 = 290.