The list price of an article is ₹2000 and a discount of 10% is offered on the list price. What additional discount per cent on the already discounted price must be offered to a customer to bring the net selling price to ₹828?

1. A

   56

2. B

   50

3. C

   54

4. D

   57

Appeared in: DSSSB 14 August 2024

Explanation

• The first step is to apply the initial 10% discount to the list price of ₹2000, which results in an intermediate price of ₹1800.
• Next, determine the monetary value of the second discount needed to reach the final selling price of ₹828. This is calculated as ₹1800 - ₹828 = ₹972.
• The crucial step is to calculate the additional discount percentage using the intermediate price (₹1800) as the base, not the original list price.
• The calculation (₹972 / ₹1800) × 100 correctly yields 54% as the required additional discount.

Why Other Options Were Wrong

• Option A: This is an incorrect calculation. It may result from a simple arithmetic error when dividing 972 by 1800.
• Option B: This is incorrect. This value might be chosen if a student incorrectly calculates the percentage discount using the wrong base or makes a significant rounding error. For instance, calculating the discount on the original price (972/2000) gives 48.6%, which is close to 50.
• Option D: This is an incorrect calculation, likely stemming from a miscalculation during the division step.

Related Visual

Clinical Relevance

• Nursing practice connection: This is primarily an exam-oriented knowledge point with limited direct bedside application, so retain Calculation of successive percentage discounts as background academic context rather than a clinical decision trigger.
• While not a clinical question, the ability to perform multi-step percentage calculations is a foundational mathematical skill essential for accurate medication dosage calculations, interpreting lab value changes, and understanding health statistics.
• This type of problem reinforces the importance of attention to detail and using the correct base for calculations, a principle that is critical in nursing to prevent errors in patient care.
• What if? If the first discount was 20% instead of 10%, the intermediate price would be ₹1600. To reach ₹828, the second discount would be ₹772. The percentage would then be (772 / 1600) × 100 = 48.25%.

How to Approach the Question

• First, identify all the given values: List Price (₹2000), First Discount (10%), and Final Selling Price (₹828).
• Calculate the price after the first discount is applied. You can do this by finding 10% of 2000 and subtracting it, or by calculating 90% of 2000 directly.
• Determine the monetary value of the second discount by finding the difference between the intermediate price (from step 2) and the final selling price.
• Calculate the percentage of the second discount. Critically, you must use the intermediate price as the base for this percentage calculation.
• Divide the second discount amount by the intermediate price and multiply by 100 to get the final percentage.
• Compare your result with the given options to find the correct answer.

Concept Tested & Keywords

• Concept Tested: Calculation of successive percentage discounts.
• Stem keywords: list price, discount, additional discount, net selling price
• Lead-in keywords: What additional discount per cent
• Negative lead-in flag: false

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