Multiple choice

A man buys one table and one chair for Rs. 500 he sells the table at a loss of 10% and a chair at a gain of 10%, He still gains Rs. 10 on the whole. What is the cost price of the chair? यदि व्यक्ति एक टेबल और कुर्सी 500 रू. में खरीदता है। यदि वह टेबल को 10% हानि पर बेचता है और कुर्सी को 10% लाभ पर बेचता है तो उसे इस क्रिया में 10 रूपये का लाभ होता है। कुर्सी का क्रय मूल्य कितना है?

  1. 100

  2. 200

  3. 300

  4. 400

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

Let table price = T, chair price = C. We know T + C = 500. Table sold at 10% loss: 0.9T. Chair sold at 10% gain: 1.1C. Total gain = 10, so 0.9T + 1.1C - 500 = 10. Substituting T = 500 - C: 0.9(500 - C) + 1.1C - 500 = 10. This gives 450 - 0.9C + 1.1C - 500 = 10, so 0.2C = 60, therefore C = 300. The chair costs Rs 300.