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A shopkeeper purchased 10 kg of Basmati rice at the rate of Rs. 50 per kg and 15 kg of ordinary rice at the rate of Rs. 20 per kg. He mixed the two varieties of the rice and sold it for a gain of 25%. What was his sale price (Rs/kg)?

1. Rs 10 per kg
2. Rs 20 per kg
3. Rs 30 per kg
4. Rs 40 per kg

एक दुकानदार ने 10 किलो बासमती चावल 50 रुपये प्रति किलो की दर से और 15 किलो साधारण चावल 20 रुपये प्रति किलो की दर से खरीदा। उसने चावल की दो किस्मों को मिलाकर 25% लाभ पर बेचा। उसका विक्रय मूल्य (रुपये/किग्रा) क्या था?

1. 10 रुपये प्रति किलो
2. 20 रुपये प्रति किलो
3. 30 रुपये प्रति किलो
4. 40 रुपये प्रति किलो
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UGC-NET-history-10-January-2025-Shift-1-Q34
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Detailed Explanation & Answer
### Step 1: Calculate the Cost Price (CP)
The shopkeeper purchases:
- 10 kg of Basmati rice at Rs. 50 per kg.
=> Total cost = 10 × 50 = Rs. 500
- 15 kg of ordinary rice at Rs. 20 per kg.
=> Total cost = 15 × 20 = Rs. 300

Total quantity of rice = 10 kg + 15 kg = 25 kg
Total cost = Rs. 500 + Rs. 300 = Rs. 800

### Step 2: Find the Cost Price per kg
Cost price per kg = Total cost / Total quantity
= 800 / 25
= Rs. 32 per kg

### Step 3: Apply the 25% Profit
Selling price per kg = Cost price per kg × (1 + Profit%)
= 32 × (1 + 25/100)
= 32 × (1.25)
= Rs. 40 per kg

### Answer:
**(4) Rs. 40 per kg**
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