Peter purchased a machine for Rs. 80,000 and spent Rs. 5000 on repair and Rs. 1000 on transport and sold it with 25% profit. At what price did he sell the machine ?

Options

A. Rs. 1,05, 100
B. Rs. 1,06,250
C. Rs. 1,07,500
D. Rs. 1,17,500

Answer

To find the selling price of the machine that Peter sold with a 25% profit, we can follow these steps:

### Step 1: Calculate the Total Cost Price
Peter initially purchased the machine for Rs. 80,000. He also incurred additional costs for repairs and transport.

- Cost of the machine = Rs. 80,000
- Repair cost = Rs. 5,000
- Transport cost = Rs. 1,000

Now, we add these costs together to find the total cost price (CP).

\[ \text{Total Cost Price} = \text{Cost of machine} + \text{Repair cost} + \text{Transport cost} \]
\[ \text{Total Cost Price} = 80,000 + 5,000 + 1,000 = 86,000 \]

### Step 2: Calculate the Profit
Peter sold the machine at a profit of 25%. To find the profit amount, we calculate 25% of the total cost price.

\[ \text{Profit} = 25\% \text{ of Total Cost Price} = \frac{25}{100} \times 86,000 \]
\[ \text{Profit} = 0.25 \times 86,000 = 21,500 \]

### Step 3: Calculate the Selling Price
Now, we can find the selling price (SP) by adding the profit to the total cost price.

\[ \text{Selling Price} = \text{Total Cost Price} + \text{Profit} \]
\[ \text{Selling Price} = 86,000 + 21,500 = 107,500 \]

### Final Answer
Peter sold the machine for Rs. 107,500.

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