Question:
A person sells two items for Rs. 250 each. He gains 20% on one and loses 20% on the other. What is his total loss percentage in the entire transaction?
एक व्यक्ति दो वस्तुएं ₹250 प्रत्येक पर बेचता है। उसे एक पर 20% का लाभ और दूसरी पर 20% की हानि होती है। पूरे सौदे में उसका कुल हानि प्रतिशत क्या है?
Options:
- 2.00%
- 3.00%
- 4.00%
- 5.00%
- 2.00%
- 3.00%
- 4.00%
- 5.00%
Correct Answer: c)
Explanation:
When two items are sold at the same price, one at \(x\%\) gain and the other at \(x\%\) loss, there is always an overall loss given by:
\(\text{Loss }\% = \left(\dfrac{x}{10}\right)^2 = \left(\dfrac{20}{10}\right)^2 = 4.00\%\).
समान विक्रय मूल्य पर एक वस्तु \(x\%\) लाभ तथा दूसरी \(x\%\) हानि पर बेचने पर सदैव हानि होती है:
\(\text{हानि }\% = \left(\dfrac{x}{10}\right)^2 = \left(\dfrac{20}{10}\right)^2 = 4.00\%\)।