Buying socks with a discount: A dozen pairs of socks are quoted at ₹80 and are available at a 10% discount. For ₹24, how many pairs of socks can be bought?

Difficulty: Easy

Correct Answer: 4

Explanation:


Introduction / Context:
An application of unitary method under discounting. First compute the discounted price for 12 pairs, then derive the price per pair, and finally calculate how many pairs fit in the given budget of ₹24.


Given Data / Assumptions:

  • List price for 12 pairs = ₹80
  • Discount = 10% ⇒ payable is 90% of ₹80 = ₹72
  • Budget = ₹24


Concept / Approach:
Price per pair at discount = total discounted price / 12. Then pairs purchasable = 24 / (price per pair). Use exact division to avoid rounding errors here.


Step-by-Step Solution:

Discounted total = 80 * 0.90 = ₹72 Price per pair = 72 / 12 = ₹6 Pairs purchasable = 24 / 6 = 4


Verification / Alternative check:
Cost of 4 pairs at this rate = 4*6 = ₹24, exactly the budget.


Why Other Options Are Wrong:
5, 3, 6, 2 are inconsistent with the computed per-pair cost after discount.


Common Pitfalls:
Applying discount to the per-pair price without first getting the total discounted amount correctly.


Final Answer:
4

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