Jaydeep purchased 25 kg of rice at the rate of Rs. 16.50 per kg and 35 kg of rice at the rate of Rs. 24.50 per kg.He mixed the two and sold the mixture Approximately at what price per kg did he sell the mixture to make 25 per cent profit ?

Options

A. Rs. 26.50
B. Rs.27.50
C. Rs. 28.50
D. Rs. 30.00

Answer

To find the selling price per kg at which Jaydeep sold the mixture to make a 25% profit, we can follow these steps:

### Step 1: Calculate the total cost of rice purchased.

Jaydeep purchased:
- 25 kg of rice at Rs. 16.50 per kg
- 35 kg of rice at Rs. 24.50 per kg

**Calculation:**
- Cost of 25 kg of rice = 25 kg × Rs. 16.50/kg = Rs. 412.50
- Cost of 35 kg of rice = 35 kg × Rs. 24.50/kg = Rs. 857.50

**Total Cost Price (CP):**
Total CP = Cost of first purchase + Cost of second purchase
Total CP = Rs. 412.50 + Rs. 857.50 = Rs. 1270.00

### Step 2: Calculate the total weight of the mixture.

Total weight of the mixture = 25 kg + 35 kg = 60 kg

### Step 3: Calculate the cost price per kg of the mixture.

Cost price per kg = Total CP / Total weight
Cost price per kg = Rs. 1270.00 / 60 kg = Rs. 21.17 (approximately)

### Step 4: Calculate the selling price for a 25% profit.

To find the selling price (SP) for a 25% profit, we use the formula:
SP = CP + (25% of CP)

**Calculation:**
- 25% of CP = 25/100 × Rs. 21.17 = Rs. 5.29 (approximately)
- SP = Rs. 21.17 + Rs. 5.29 = Rs. 26.46 (approximately)

### Final Answer:
Jaydeep sold the mixture at approximately Rs. 26.46 per kg to make a 25% profit.

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