Manish brought 25 kg of rice at ₹ 32 per kg and 15 kg of rice at ₹ 36 per kg. what profit did he get when he mixed the two varieties together and sold it at ₹ 40.20 per kg?

Options

A. 0.25
B. 0.4
C. 0.3
D. 0.2

Explanation

To solve the problem step by step, we will calculate the total cost price of the rice, the total selling price after mixing, and then determine the profit.

### Step 1: Calculate the total cost price of the rice.
Manish bought two types of rice:
- 25 kg at ₹32 per kg
- 15 kg at ₹36 per kg

**Cost price of the first variety:**
\[ \text{Cost Price (CP)}_1 = 25 \, \text{kg} \times 32 \, \text{₹/kg} = 800 \, ₹ \]

**Cost price of the second variety:**
\[ \text{Cost Price (CP)}_2 = 15 \, \text{kg} \times 36 \, \text{₹/kg} = 540 \, ₹ \]

**Total Cost Price (CP):**
\[ \text{Total CP} = \text{CP}_1 + \text{CP}_2 = 800 \, ₹ + 540 \, ₹ = 1340 \, ₹ \]

### Step 2: Calculate the total quantity of rice.
**Total quantity of rice:**
\[ \text{Total Quantity} = 25 \, \text{kg} + 15 \, \text{kg} = 40 \, \text{kg} \]

### Step 3: Calculate the total selling price after mixing.
Manish sold the mixed rice at ₹40.20 per kg.

**Total Selling Price (SP):**
\[ \text{Total SP} = \text{Selling Price per kg} \times \text{Total Quantity} \]
\[ \text{Total SP} = 40.20 \, ₹/kg \times 40 \, \text{kg} = 1608 \, ₹ \]

### Step 4: Calculate the profit.
**Profit:**
\[ \text{Profit} = \text{Total SP} - \text{Total CP} \]
\[ \text{Profit} = 1608 \, ₹ - 1340 \, ₹ = 268 \, ₹ \]

### Final Answer:
Manish made a profit of ₹268.

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