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Roshan bought 5 pants at Rs 25 each, 10 shirts at Rs 50 each, and 15 ties at Rs 35 each. Find the average price of all the articles:

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

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