Average price across mixed purchases: Roshan buys 5 pants at ₹25 each, 10 shirts at ₹50 each, and 15 ties at ₹35 each. Compute the overall average price per article for all 30 items purchased.

Introduction / Context:
This problem checks weighted average with unequal counts at different prices. We combine total cost over all items and divide by the total number of articles to obtain a single per-article average.

Given Data / Assumptions:

• Pants: 5 pieces at ₹25 each
• Shirts: 10 pieces at ₹50 each
• Ties: 15 pieces at ₹35 each
• Total number of articles = 5 + 10 + 15 = 30

Concept / Approach:
Average price per article = total expenditure / total number of articles. Since quantities differ by item type, compute each subtotal and add them before dividing by 30.

Step-by-Step Solution:

Verification / Alternative check:
Use a calculator to confirm 1150 divided by 30. Rounding to two decimals yields ₹38.33, which is consistent with currency presentation.

Why Other Options Are Wrong:

• ₹45.33, ₹42.00, ₹40.00, ₹45.00: do not equal the precise ratio of total cost to item count (1150/30).

Common Pitfalls:
Adding the three prices and dividing by 3 ignores the different quantities. Always weight by quantity purchased.

Final Answer:
₹ 38.33