Unitary method (reverse count): If 16 dozens of bananas cost ₹ 360, how many bananas can be bought for ₹ 60?

Difficulty: Easy

Correct Answer: 32 bananas

Explanation:


Introduction / Context:
We are given a total cost for a bulk quantity (in dozens) and asked how many individual items can be purchased for a smaller amount. Use the unitary method to compute the per-banana price and then scale by the available money.

Given Data / Assumptions:

  • 16 dozens = 16 × 12 = 192 bananas cost ₹ 360.
  • Budget = ₹ 60.
  • Assume a constant price per banana.


Concept / Approach:
First compute the cost per banana. Then divide the budget by the per-banana price to find the count of bananas that can be bought.

Step-by-Step Solution:

Total bananas = 16 × 12 = 192.Price per banana = 360 / 192 = ₹ 1.875.Bananas purchasable with ₹ 60 = 60 / 1.875 = 32.


Verification / Alternative check:
Proportion method: ₹ 360 buys 192 bananas. For ₹ 60 (which is 1/6 of ₹ 360), we can buy 1/6 of 192 = 32 bananas. Same result as the unit-price route.

Why Other Options Are Wrong:

  • 16 or 48 bananas: 16 is too few; 48 is too many for ₹ 60 at the given rate.
  • 50 bananas: Not proportional to the given pricing.


Common Pitfalls:
Forgetting that one dozen equals 12, or dividing 360 by 16 instead of 192. Always convert dozens to individual units before calculating unit price or quantities.


Final Answer:

32 bananas

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