Danny a retailer purchased 210 same types of watches at the rate of Rs. 320 each. For transport and packing he spent an amount of Rs. 3200. He fixed the labelled price of each watch at Rs. 360 each However he decided to give a discount of 5% on the labelled price. What is the percentage of profit earned by him?

To determine the percentage of profit Danny earned, we need to calculate both the total cost and total revenue, then apply the formula for profit percentage.

### Step 1: Calculate the total cost
The total cost includes the cost of purchasing the watches and the cost of transport and packing.

- **Cost of purchasing watches** = \( 210 \times 320 = 67,200 \) Rs.
- **Cost of transport and packing** = 3,200 Rs.

So, the total cost is:
\[
67,200 + 3,200 = 70,400 \text{ Rs.}
\]

### Step 2: Calculate the selling price after discount
The labelled price for each watch is Rs. 360, but Danny gives a 5% discount on this price. To find the selling price per watch after the discount, we calculate:

- Discount = \( 360 \times \frac{5}{100} = 18 \) Rs.
- Selling price per watch = \( 360 - 18 = 342 \) Rs.

### Step 3: Calculate the total revenue
Now, to find the total revenue from selling 210 watches at Rs. 342 each:

\[
\text{Total revenue} = 210 \times 342 = 71,820 \text{ Rs.}
\]

### Step 4: Calculate the profit
Profit is the difference between the total revenue and the total cost:

\[
\text{Profit} = 71,820 - 70,400 = 1,420 \text{ Rs.}
\]

### Step 5: Calculate the profit percentage
The profit percentage is given by the formula:
\[
\text{Profit Percentage} = \left( \frac{\text{Profit}}{\text{Cost}} \right) \times 100 = \left( \frac{1,420}{70,400} \right) \times 100 = 2.02\%
\]

So, Danny earned a **2.02% profit**.

Would you like more details or have any questions?

Here are 5 related questions to expand the topic:
1. What would the profit percentage be if Danny offered no discount?
2. How would the profit change if the transportation cost increased by 10%?
3. What is the new profit percentage if Danny sells each watch for Rs. 350?
4. How would the overall cost affect profit if Danny bought the watches at Rs. 330 each?
5. What would be the selling price if Danny wanted to earn a 5% profit?

**Tip:**

Danny, a retailer, purchased 210 same types of watches at the rate of Rs. 320 each. For transport and packing, he spent an amount of Rs. 3200. He fixed the labelled price of each watch at Rs. 360. However, he decided to give a discount of 5% on the labelled price. What is the percentage of profit earned by him?

Learn how to calculate the percentage profit earned by Danny, a retailer, on the sale of 210 watches, factoring in a 5% discount and transport costs. This detailed solution covers profit calculation, percentage formulas, and key mathematical concepts, suitable for Grades 8-10.

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