Multiple choice

An item is sold at two successive gains of 66.67% and 37.5%. If the final selling price is Rs 34100, then what is the cost price (in Rs)?

  1. 16780

  2. 14560

  3. 14880

  4. 15660

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

Converting percentages to fractions: 66.67% = 2/3, 37.5% = 3/8. After successive gains, selling price = CP × (1 + 2/3) × (1 + 3/8) = CP × (5/3) × (11/8) = CP × 55/24 = 34100. Therefore, CP = 34100 × 24/55 = 14880.