One bottle of honey costs Rs 240, but a pack of 4 bottles of the same honey is sold for Rs 768. What is the effective discount (in %) on the pack compared to buying 4 single bottles separately?

Difficulty: Easy

Correct Answer: 20

Explanation:


Introduction / Context:
This problem focuses on finding the effective discount when a combo pack is offered cheaper than buying items individually. It connects unit price, total price, and percentage discount, which is a common real life scenario in shopping and a standard concept in profit and loss topics.


Given Data / Assumptions:

  • Price of one bottle of honey = Rs 240.
  • If bought separately, 4 bottles would cost 4 * 240 rupees.
  • Pack of 4 bottles is sold for Rs 768.
  • We need the percentage discount on the pack relative to the individual buying cost.


Concept / Approach:
First, compute the total cost of 4 bottles at the usual unit price. Then, find the difference between that total and the pack price to determine the savings. The effective discount percentage is (savings / original total cost) * 100%. This is the standard formula for discount when we know both original and reduced prices.


Step-by-Step Solution:
Step 1: Cost of 1 bottle = Rs 240. Step 2: Cost of 4 bottles at single-bottle price = 4 * 240 = Rs 960. Step 3: Pack price for 4 bottles = Rs 768. Step 4: Savings (discount amount) = 960 - 768 = Rs 192. Step 5: Discount percentage = (192 / 960) * 100%. Step 6: Compute 192 / 960 = 0.20. Step 7: Therefore, discount percentage = 0.20 * 100% = 20%.


Verification / Alternative check:
We can also think in terms of effective price per bottle. In the pack, price per bottle = 768 / 4 = Rs 192. Compare this with the original price 240. The reduction per bottle is 240 - 192 = 48. Percentage discount per bottle = (48 / 240) * 100% = 20%. This matches the earlier result.


Why Other Options Are Wrong:

  • 16: This would imply a smaller saving; the actual saving is higher.
  • 25: This is too high and would require the pack price to be 720 instead of 768.
  • 10: This corresponds to a much smaller difference between original and reduced price.
  • 12: Also too low and not supported by the given numbers.


Common Pitfalls:
Sometimes students calculate the discount on the pack price instead of on the original cost, or they mistakenly divide the savings by the pack price. The discount percentage is always calculated on the original price, which in this case is the total cost of buying 4 bottles individually. Keeping track of which value is the base for the percentage is crucial.


Final Answer:
The effective discount on the four-bottle honey pack is 20% compared to buying the bottles separately.

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