Multiple choice

The cost of two articles are in the ratio 3 : 4. If there is 10% loss on the first article and 20 % gain on the second article. What is overall percentage of loss or gain? दो वस्तुओं के क्रय मूल्य का अनुपात 3 : 4 है। यदि पहली वस्तु पर 10% की हानि होती है और दूसरी वस्तु पर 20% का लाभ होता है, तो सम्पूर्ण लाभ या हानि क्या है?

  1. 6.93 % gain/लाभ

  2. 7.14 % gain/लाभ

  3. 8.25 % gain/लाभ

  4. 1.25 % loss/हानि

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

Let costs be 3x and 4x (total 7x). First article: 10% loss → selling price = 0.9 × 3x = 2.7x. Second article: 20% gain → selling price = 1.2 × 4x = 4.8x. Total selling price = 7.5x on investment of 7x. Gain = 0.5x on 7x = 0.5/7 ≈ 7.14% gain. Options A and C are close but incorrect.