A toy shop is selling 10 toy trains for £150 each.If the shop bought the toy trains from the supplier for a total of £670, how much profit will the shop make?

1. Break Down the Problem

To find the profit that the toy shop makes, we need to:

1. Calculate the total revenue from selling the toy trains.
2. Determine the total cost of the toy trains.
3. Calculate the profit by subtracting the total cost from the total revenue.

2. Relevant Concepts

• Total Revenue = Price per item × Number of items sold
• Profit = Total Revenue - Total Cost

3. Analysis and Detail

1. Calculate Total Revenue:

   • The shop sells 10 toy trains for £150 each. $\text{Total Revenue} = 150 \times 10 = £1500$

2. Determine Total Cost:

   • The cost of the toy trains purchased from the supplier is £670. $\text{Total Cost} = £670$

3. Calculate Profit: $\text{Profit} = \text{Total Revenue} - \text{Total Cost} = 1500 - 670$ $\text{Profit} = £830$

4. Verify and Summarize

We calculated total revenue to be £1500 and the total cost to be £670. The profit, calculated as the difference between the revenue and cost, is verified to be £830.

Final Answer

The shop will make a profit of £830.