A man bought a machine for Rs.70000 and spent Rs.4000 on repair and Rs.1000 on transport and sold at a profit of 30%. Find selling price

To find the selling price of the machine, we'll follow these steps:

1. **Calculate the total cost price**: This includes the cost of the machine, repair costs, and transport costs.
2. **Calculate the profit**: A 30% profit on the total cost price.
3. **Determine the selling price**: By adding the profit to the total cost price.

### Step 1: Calculate the Total Cost Price

\[
\text{Total Cost Price} = \text{Cost of the Machine} + \text{Repair Cost} + \text{Transport Cost}
\]

\[
\text{Total Cost Price} = 70000 + 4000 + 1000 = Rs.75000
\]

### Step 2: Calculate the Profit

\[
\text{Profit} = \text{Profit Percentage} \times \text{Total Cost Price} 
\]

\[
\text{Profit} = 30\% \times 75000 = \frac{30}{100} \times 75000 = Rs.22500
\]

### Step 3: Determine the Selling Price

\[
\text{Selling Price} = \text{Total Cost Price} + \text{Profit}
\]

\[
\text{Selling Price} = 75000 + 22500 = Rs.97500
\]

So, the selling price of the machine is **Rs.97,500**.

Would you like more details or have any questions? Here are some related questions:

1. How would the selling price change if the profit was 20% instead of 30%?
2. What would be the selling price if the repair costs were higher, say Rs.6,000?
3. How would the calculation differ if the machine was sold at a loss of 10%?
4. What is the break-even price for the machine?
5. How much more would the profit be if the selling price was Rs.100,000?

**Tip:** When calculating profit, always ensure to apply the percentage to the correct base amount, which in this case is the total cost price.

Learn how to calculate the selling price of a machine with a 30% profit. This math problem involves determining the total cost price including machine cost, repair costs, and transport costs. Suitable for Grades 6-8.

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