Roshan bought 5 pants at Rs25 each, 10 shirts at Rs50 each and 15 ties at Rs35 each. Find the average price of all the articles.

Options

A. ? 38.33
B. ?45
C. ?60
D. ?45.33

Answer

To find the average price of all the articles that Roshan bought, we will follow these steps:

### Step 1: Calculate the total cost of pants
Roshan bought 5 pants at Rs. 25 each.
Total cost of pants = Number of pants × Cost per pant
\[ \text{Total cost of pants} = 5 \times 25 = 125 \text{ Rs} \]

### Step 2: Calculate the total cost of shirts
Roshan bought 10 shirts at Rs. 50 each.
Total cost of shirts = Number of shirts × Cost per shirt
\[ \text{Total cost of shirts} = 10 \times 50 = 500 \text{ Rs} \]

### Step 3: Calculate the total cost of ties
Roshan bought 15 ties at Rs. 35 each.
Total cost of ties = Number of ties × Cost per tie
\[ \text{Total cost of ties} = 15 \times 35 = 525 \text{ Rs} \]

### Step 4: Calculate the total cost of all articles
Now, we will sum up the total costs of pants, shirts, and ties.
\[ \text{Total cost of all articles} = \text{Total cost of pants} + \text{Total cost of shirts} + \text{Total cost of ties} \]
\[ \text{Total cost of all articles} = 125 + 500 + 525 = 1150 \text{ Rs} \]

### Step 5: Calculate the total number of articles
Now, we will sum up the total number of pants, shirts, and ties.
\[ \text{Total number of articles} = \text{Number of pants} + \text{Number of shirts} + \text{Number of ties} \]
\[ \text{Total number of articles} = 5 + 10 + 15 = 30 \]

### Step 6: Calculate the average price of all articles
Finally, we will calculate the average price by dividing the total cost by the total number of articles.
\[ \text{Average price} = \frac{\text{Total cost of all articles}}{\text{Total number of articles}} \]
\[ \text{Average price} = \frac{1150}{30} \approx 38.33 \text{ Rs} \]

### Final Answer
The average price of all the articles is approximately Rs. 38.33.

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