If the price of m identical articles is ₹ n (total), what is the price of 5 such articles at the same per-article rate?

Introduction: This unitary-method price question converts a “total for m items” into a “per-item” rate, then scales to a different count. It is the standard way to compute prices when proportionality holds and there are no bulk discounts or price tiers mentioned.

Given Data / Assumptions:

• Total price for m articles = ₹ n.
• All articles are identical, so a constant per-article price applies.
• We seek the cost for 5 such articles.

Concept / Approach: Per-article price = n/m. Therefore, the price for 5 articles is 5 * (n/m) = 5n/m. Keep symbols in fraction form to preserve exactness and match the provided options precisely.

Step-by-Step Solution:

Verification / Alternative check: Sanity check with numbers: If m = 10, n = 200, then per-article = 20, so 5 articles cost 100 = 5n/m = 5*200/10, consistent.

Why Other Options Are Wrong: mn/5, m/n, 5m/n, or n/5m do not represent “five times the per-article price.” Only 5n/m does.

Common Pitfalls: Inverting m and n or multiplying them together needlessly. Always compute the unit price first: n divided by m.

Final Answer: ₹ 5n/m