Multiple choice

Two items I and II are sold at a profit of 10% and 15% respectively. If the amount of profit received is the same and that is equal to Rs.300, then the ratio between the cost price of I article and II article is

  1. 2 : 3

  2. 2 : 5

  3. 5 : 2

  4. 3 : 2

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

For item I: CP_I × 0.10 = 300, so CP_I = 3000. For item II: CP_II × 0.15 = 300, so CP_II = 2000. Ratio CP_I : CP_II = 3000 : 2000 = 3 : 2. The key insight is that when profit amounts are equal, the cost prices are inversely proportional to profit percentages.