The combined cost of 21 pencils and 9 clippers is ₹ 819 (uniform pricing per item). What is the cost of 7 pencils and 3 clippers together?

Difficulty: Easy

Correct Answer: ₹ 273

Explanation:


Introduction:
When pricing is linear and uniform per item, any proportional subset of a given combination costs the same proportion of the total. Here, (7 pencils + 3 clippers) is exactly one-third of (21 pencils + 9 clippers).



Given Data / Assumptions:

  • 21 pencils + 9 clippers cost ₹ 819 in total.
  • Uniform price per pencil and per clipper (no bulk discounts).
  • We need cost of 7 pencils + 3 clippers.


Concept / Approach:
Note that (7, 3) is exactly one-third of (21, 9). Therefore, cost scales by 1/3.



Step-by-Step Solution:

Total combo (21, 9) → ₹ 819.Desired combo (7, 3) = (1/3) * (21, 9).Cost = (1/3) * 819 = ₹ 273.


Verification / Alternative check:
Let pencil = p, clipper = c. Then 21p + 9c = 819. Divide by 3: 7p + 3c = 273. Same result.



Why Other Options Are Wrong:
Other figures do not maintain the linear proportionality to the original combination cost.



Common Pitfalls:
Attempting to find individual prices unnecessarily; proportional reasoning suffices.



Final Answer:
₹ 273

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