A shopkeeper bought 72 oranges for 324. He sold 50 of them at rs 6 each and the remaining at 165. Find his profit.

Options

A. 121
B. 131
C. 141
D. 161

Answer

To solve the problem step by step, we will calculate the cost price, selling price, and then find the profit.

### Step 1: Calculate the Cost Price (CP)
The shopkeeper bought 72 oranges for Rs. 324.

\[ \text{Cost Price (CP)} = 324 \text{ Rs} \]

### Step 2: Calculate the Selling Price (SP) of the first 50 oranges
The shopkeeper sold 50 oranges at Rs. 6 each.

\[ \text{Selling Price of 50 oranges} = 50 \times 6 = 300 \text{ Rs} \]

### Step 3: Calculate the number of remaining oranges
After selling 50 oranges, the number of oranges left is:

\[ \text{Remaining oranges} = 72 - 50 = 22 \]

### Step 4: Calculate the Selling Price (SP) of the remaining 22 oranges
The shopkeeper sold the remaining 22 oranges for Rs. 165.

\[ \text{Selling Price of remaining 22 oranges} = 165 \text{ Rs} \]

### Step 5: Calculate the Total Selling Price (SP)
Now, we will calculate the total selling price by adding the selling prices of both batches of oranges.

\[ \text{Total Selling Price (SP)} = \text{SP of 50 oranges} + \text{SP of remaining 22 oranges} \]
\[ \text{Total SP} = 300 + 165 = 465 \text{ Rs} \]

### Step 6: Calculate the Profit
Profit is calculated by subtracting the cost price from the total selling price.

\[ \text{Profit} = \text{Total SP} - \text{CP} \]
\[ \text{Profit} = 465 - 324 = 141 \text{ Rs} \]

### Final Answer
The profit made by the shopkeeper is Rs. 141.

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