The list price of an article is ₹4700 and a discount of 30% 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 ₹1447.6?

1. A

   56

2. B

   58

3. C

   61

4. D

   54

Appeared in: DSSSB 6 September 2024

Explanation

• The list price of the article is ₹4700.
• A 30% discount on the list price amounts to ₹1410 (0.30 * 4700), making the discounted price ₹3290 (4700 - 1410).
• To reach the final selling price of ₹1447.6, an additional discount of ₹1842.4 is required (3290 - 1447.6).
• This additional discount of ₹1842.4 is calculated as a percentage of the discounted price (₹3290).
• The additional discount percentage is (1842.4 / 3290) * 100, which equals 56%.

Why Other Options Were Wrong

• Option B: Applying a 58% discount to the intermediate price of ₹3290 results in a final price of ₹1381.8 (3290 * (1 - 0.58)), which is not the target price of ₹1447.6.
• Option C: Applying a 61% discount to the intermediate price of ₹3290 results in a final price of ₹1283.1 (3290 * (1 - 0.61)), which is lower than the target price of ₹1447.6.
• Option D: Applying a 54% discount to the intermediate price of ₹3290 results in a final price of ₹1513.4 (3290 * (1 - 0.54)), which is higher than the target price of ₹1447.6.

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 discounts in percentage problems as background academic context rather than a clinical decision trigger.
• Understanding successive discounts is a fundamental quantitative skill crucial for personal finance, such as interpreting sales offers, calculating loan interests, and managing budgets.
• This concept is frequently tested in the quantitative aptitude sections of various competitive examinations, including those for nursing positions, to assess analytical and problem-solving abilities.
• What if? If the second discount was mistakenly calculated on the original list price of ₹4700, the required percentage would be approximately 39.2% (1842.4 / 4700 * 100). This highlights the importance of using the correct base (the discounted price) for the second calculation.

How to Approach the Question

• First, identify the given values: List Price (₹4700), initial discount (30%), and the final Net Selling Price (₹1447.6).
• Calculate the price of the article after the first 30% discount is applied. This is your new base price for the next calculation.
• Determine the monetary value of the second discount by subtracting the final selling price from the new base price.
• Calculate the percentage of this second discount. Crucially, use the price after the first discount as the base for this percentage calculation (Discount Amount / Base Price * 100).
• Compare your calculated percentage with the given options to identify the correct answer.

Concept Tested & Keywords

• Concept Tested: Calculation of successive discounts in percentage problems.
• Stem keywords: list price, discount, additional discount, net selling price
• Lead-in keywords: What additional discount

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