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Two items sold at ₹500 each. One at 25% gain, other at 25% loss. What is the overall result?
5% loss
6.25% loss
7.5% loss
10% loss
Answer: B
Solution: Since the selling price of each item is ₹500, the cost price of the item sold at 25% gain is \(500\div1.25=400\). The cost price of the item sold at 25% loss is \(500\div0.75=666.67\) approximately. Total cost price ≈ ₹1,066.67 and total selling price = ₹1,000. Loss percentage \(=\frac{66.67}{1066.67}\times100=6.25\%\). Trick: For equal selling prices with equal gain and loss percentages, the overall result is a loss of \(\frac{25^2}{100}=6.25\%\).
दो वस्तुएँ प्रत्येक ₹500 में बेची गईं। एक पर 25% लाभ और दूसरी पर 25% हानि हुई। कुल परिणाम क्या होगा?
5% हानि
6.25% हानि
7.5% हानि
10% हानि
उत्तर: B
हल: दोनों वस्तुओं का विक्रय मूल्य ₹500 है। 25% लाभ पर बेची गई वस्तु का क्रय मूल्य \(500\div1.25=400\) है। 25% हानि पर बेची गई वस्तु का क्रय मूल्य \(500\div0.75\approx666.67\) है। कुल क्रय मूल्य लगभग ₹1,066.67 और कुल विक्रय मूल्य ₹1,000 है। हानि प्रतिशत \(=\frac{66.67}{1066.67}\times100=6.25\%\)। ट्रिक: समान विक्रय मूल्य पर बराबर लाभ और हानि प्रतिशत होने पर कुल हानि \(\frac{25^2}{100}=6.25\%\) होती है।
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