Multiple choice

An item is sold at two successive gains of 66.67% and 37.5%. If the final selling price is Rs 2200, then what is the cost price (in Rs)? एक वस्तु 66.67% और 37.5% के दो क्रमिक लाभ पर बेचा जाता है। यदि अंतिम विक्रय मूल्य 2200 रुपये है, तो लागत मूल्य (रु में) क्या है?

  1. 670

  2. 560

  3. 960

  4. 660

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

Let CP = x. After 66.67% (2/3) gain: x × 5/3. After 37.5% (3/8) gain: (5x/3) × 11/8 = 55x/24 = 2200. Therefore x = 2200 × 24/55 = 960. Verify: 960 × 5/3 = 1600, then 1600 × 11/8 = 2200. Working backwards uses the same multipliers.