Approximate pricing by proportion (rounding awareness): If the price of 6 toys is ₹ 264.37 at a uniform per-toy rate, what is the approximate price (in rupees) of 5 toys at the same rate? Choose the closest option.

Difficulty: Easy

Correct Answer: 220

Explanation:

Introduction / Context:This is a unitary-method problem that also highlights approximation. We compute a per-toy price from a non-round total and then scale down to five items, selecting the closest integer rupee option. Being careful with decimals prevents rounding drift.

Given Data / Assumptions:

  • Total price for 6 toys = ₹264.37
  • Uniform per-toy price
  • Find approximate price for 5 toys

Concept / Approach:Per-toy price = total / 6. Multiply by 5 to get the five-toy cost. Finally, compare to the listed options and choose the nearest rupee value.

Step-by-Step Solution:Per-toy price ≈ 264.37 / 6 ≈ 44.0617Five-toy cost ≈ 44.0617 * 5 ≈ 220.3085Closest integer option ≈ ₹220

Verification / Alternative check:Proportion shortcut: 5/6 of ₹264.37 ≈ ₹220.3083, consistent with the multiplication method.

Why Other Options Are Wrong:230 and 210 are farther from ₹220.3 than ₹220; 120 and 320 are far off and not proportional to five-sixths of the given total.

Common Pitfalls:Rounding per-toy price to ₹44 early and then multiplying (which yields ₹220 exactly; close but we still choose the closest listed). Avoid excessive rounding too soon in more sensitive problems.

Final Answer:220

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