Multiple choice

If the selling price of a car becomes 1.4 times of the previous selling price, the shopkeeper would have received 2.3 times profit than before. Find the first profit percentage?

  1. 45.51%

  2. 85.61%

  3. 44.44%

  4. 85.81%

  5. 85.91%

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

Let CP = x, original SP = y, original profit = y - x. New SP = 1.4y, new profit = 2.3(y - x). Also new profit = 1.4y - x. So 1.4y - x = 2.3y - 2.3x, which gives 1.3x = 0.9y, or y = 13x/9. Original profit = y - x = 13x/9 - x = 4x/9. Original profit % = (4x/9x) × 100 = 44.44%. Distractors A and C are close but incorrect, while B, D, E are far off.