Correct Answer:
A. 38.33
To find the average price of all articles, we need to calculate the total cost of all items and divide it by the total number of items. This is a weighted average problem, as different quantities of items have different prices.
- Calculate the total cost for each type of article:
- Pants: 5 pants * Rs 25/pant = Rs 125
- Shirts: 10 shirts * Rs 50/shirt = Rs 500
- Ties: 15 ties * Rs 35/tie = Rs 525
- Calculate the total cost of all articles: Rs 125 + Rs 500 + Rs 525 = Rs 1150.
- Calculate the total number of articles: 5 + 10 + 15 = 30 articles.
- Finally, calculate the average price: Total Cost / Total Articles = Rs 1150 / 30 = Rs 38.33 (rounded to two decimal places).
Distractors B, C, and D are incorrect. For example, simply averaging the prices (25+50+35)/3 would be incorrect because it doesn't account for the different quantities of each item, leading to a different result.