A sold 20 KG Tomato and 10 KG Potato for Rs.300 and earned Rs. 100 as Profit. If the purchase cost of 10 KG potato is Rs.160 and the sale price of 20 KG Tomato is Rs.200, what would be the percentage of profit/loss that A has got by selling only Potato?

Let's break down the problem to find the percentage of profit or loss that A has obtained by selling only the potatoes.

### Step 1: Understand the given data

- **Total Sale Price (for both Tomato and Potato)** = Rs. 300
- **Total Profit** = Rs. 100
- **Purchase Cost of 10 KG Potatoes** = Rs. 160
- **Sale Price of 20 KG Tomatoes** = Rs. 200

### Step 2: Calculate the Sale Price of 10 KG Potatoes

Since A sold the tomatoes for Rs. 200, the sale price of the potatoes would be:

\[
\text{Sale Price of Potatoes} = \text{Total Sale Price} - \text{Sale Price of Tomatoes}
\]
\[
\text{Sale Price of Potatoes} = 300 - 200 = Rs. 100
\]

### Step 3: Determine the Profit or Loss on Potatoes

Now, calculate the profit or loss on the potatoes:

\[
\text{Profit/Loss on Potatoes} = \text{Sale Price of Potatoes} - \text{Purchase Cost of Potatoes}
\]
\[
\text{Profit/Loss on Potatoes} = 100 - 160 = -Rs. 60
\]

Since the result is negative, A incurred a **loss** of Rs. 60 on selling the potatoes.

### Step 4: Calculate the Percentage of Loss on Potatoes

The percentage loss is given by:

\[
\text{Percentage Loss} = \left(\frac{\text{Loss}}{\text{Purchase Cost}} \times 100\right) \%
\]
\[
\text{Percentage Loss} = \left(\frac{60}{160} \times 100\right) \% = 37.5\%
\]

So, A incurred a **37.5% loss** by selling only the potatoes.

Would you like more details or have any questions?

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Here are some related questions you might find useful:

1. How would the profit or loss change if the sale price of potatoes was higher?
2. What would be the break-even sale price for the potatoes?
3. How is the overall profit calculated if we consider both tomatoes and potatoes together?
4. How does the percentage of profit/loss affect overall business decisions?
5. Can the loss on potatoes be offset by the profit on tomatoes?

**Tip:** When calculating profit or loss, always compare the selling price to the cost price to determine the net result.

Learn how to calculate the percentage of profit or loss when selling potatoes. This problem involves understanding profit, loss, and percentage calculations based on given sale and purchase prices. Suitable for Grades 9-10 students.

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