A shop offers the following three schemes on the sale of an item: A. Two successive discounts of 15% and 20% on the marked price B. Buy 6, get 4 free C. Buy 8, get 10 free Which scheme(s) has/have the maximum discount percentage?

1. A

   Scheme C

2. B

   Scheme A and Scheme C

3. C

   Scheme B

4. D

   Scheme A

Appeared in: NHM UP Staff Nurse-2023 shift 1st

Explanation

• Scheme C provides the highest effective discount percentage among the three options.
• The calculation for Scheme C is (10 free items / 18 total items) × 100, which equals approximately 55.55%.
• This discount (55.55%) is significantly higher than the discount for Scheme B (40%) and Scheme A (32%).

Why Other Options Were Wrong

• Option B: This option is incorrect because Scheme A offers the lowest discount (32%), not the maximum. Only Scheme C provides the maximum discount.
• Option C: Scheme B offers a 40% discount. While this is better than Scheme A, it is significantly lower than the 55.55% discount offered by Scheme C.
• Option D: Scheme A, with two successive discounts, results in a total discount of only 32%. This is the lowest discount percentage of the three schemes presented.

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Clinical Relevance

• Nursing practice connection: This is primarily an exam-oriented knowledge point with limited direct bedside application, so retain Calculating and comparing discount percentages from different types of promotional schemes as background academic context rather than a clinical decision trigger.
• This question tests mathematical reasoning and is not related to clinical practice.
• The ability to calculate percentages and compare values is a fundamental quantitative skill useful in various contexts, including data interpretation.
• In a non-clinical context, this skill is essential for financial literacy and making informed consumer choices.

How to Approach the Question

• First, understand the question's objective: to find the scheme with the 'maximum discount percentage'.
• Break down the problem by calculating the effective discount for each scheme one by one.
• For Scheme A (successive discounts), recall and apply the formula: Equivalent Discount = d1 + d2 - (d1 * d2 / 100).
• For Schemes B and C ('Buy X, get Y free'), use the formula: Discount % = (Number of Free Items / Total Number of Items) * 100.
• After calculating the percentage for all three schemes, create a simple comparison (e.g., A=32%, B=40%, C=55.55%).
• Identify the largest percentage and select the corresponding scheme as the answer.

Concept Tested & Keywords

• Concept Tested: Calculating and comparing discount percentages from different types of promotional schemes.
• Stem keywords: discount schemes, successive discounts, marked price, buy X, get Y free
• Lead-in keywords: maximum discount percentage

Question ID

QV_e122W_Q_ZyEN1T5248i

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