Question:
A shopkeeper bought 5 identical chairs for a total cost of Rs. 7,500. He sold three chairs at a gain of 20% each and the remaining two chairs at a loss of 10% each. What is his overall profit or loss percentage?
एक दुकानदार ने कुल ₹7,500 की लागत से 5 समान कुर्सियाँ खरीदीं। उसने तीन कुर्सियाँ 20% के लाभ पर और शेष दो कुर्सियाँ 10% की हानि पर बेचीं। उसका समग्र लाभ या हानि प्रतिशत क्या है?
Options:
- 8% Profit
- 10% Profit
- 12% Profit
- 14% Profit
- 8% लाभ
- 10% लाभ
- 12% लाभ
- 14% लाभ
Correct Answer: a)
Explanation:
Cost price of each chair = \(7500 / 5 = \text{Rs. } 1500\).
Profit on 3 chairs = \(3 \times (1500 \times 0.20) = \text{Rs. } +900\).
Loss on 2 chairs = \(2 \times (1500 \times 0.10) = \text{Rs. } -300\).
Net profit = \(900 – 300 = \text{Rs. } 600\).
Overall profit percentage = \(\dfrac{600}{7500} \times 100 = 8\%\) profit.
प्रत्येक कुर्सी का क्रय मूल्य = \(7500 / 5 = ₹1500\)।
3 कुर्सियों पर लाभ = \(3 \times (1500 \times 0.20) = +₹900\)।
2 कुर्सियों पर हानि = \(2 \times (1500 \times 0.10) = -₹300\)।
शुद्ध लाभ = \(900 – 300 = ₹600\)।
कुल लाभ प्रतिशत = \(\dfrac{600}{7500} \times 100 = 8\%\) लाभ।