A person makes a profit of 17% after giving a discount of 10% on the marked price of an item. If he gives a discount of 16% on the marked price, what will be his profit percentage?

1. A

   9.6

2. B

   11

3. C

   9.2

4. D

   14

Appeared in: JSSH Staff Nurse - 2019

Explanation

• The solution involves a two-step calculation common in profit and discount problems.
• First, use the initial profit and discount to find the ratio between the Cost Price (CP) and Marked Price (MP).
• Assuming a CP of 100, a 17% profit gives a Selling Price (SP) of 117. Since this is after a 10% discount, the MP is 130 (calculated as 117 / 0.9).
• Second, apply the new 16% discount to the calculated MP (130) to find the new SP (109.2).
• The new profit is the new SP minus the CP (109.2 - 100 = 9.2), which corresponds to a 9.2% profit.

Why Other Options Were Wrong

• Option A: This is an incorrect value that may result from a miscalculation, such as an error in calculating the new selling price or the final profit percentage.
• Option B: This value might be obtained by incorrectly subtracting percentage points (e.g., 17% - (16% - 10%) = 11%). Percentages must be calculated based on their respective base values (CP and MP), not subtracted directly.
• Option D: This is another plausible-looking but incorrect answer that may arise from calculation errors, perhaps by incorrectly relating the discounts and profits.

Related Visual

Clinical Relevance

• Nursing practice connection: This is primarily an exam-oriented knowledge point with limited direct bedside application, so retain Profit, Loss, and Discount Calculations as background academic context rather than a clinical decision trigger.
• This type of logical-mathematical reasoning is a component of the general intelligence and numerical ability sections of nursing entrance and recruitment exams.
• While not a direct clinical skill, the ability to perform accurate multi-step calculations is foundational for safe nursing practice, especially in medication dosage calculations, IV drip rate monitoring, and interpreting quantitative lab results.
• What if the initial profit was 20% with a 10% discount? The SP would be 120. The MP would be 120 / 0.9 = 133.33. A 16% discount on 133.33 is 21.33. The new SP would be 112, resulting in a 12% profit. This shows how the initial profit margin affects the final outcome.

How to Approach the Question

• Identify the given values: initial profit percentage (17%) and initial discount percentage (10%).
• Recognize the goal: find the new profit percentage with a new discount percentage (16%).
• To simplify calculations, assume a convenient base value for the Cost Price (CP), such as 100.
• Calculate the initial Selling Price (SP) using the profit percentage: SP = CP × (1 + Profit%).
• Work backward from the initial SP and discount to find the Marked Price (MP): MP = SP / (1 - Discount%).
• Apply the new discount percentage to the calculated MP to find the new SP.

Concept Tested & Keywords

• Concept Tested: Profit, Loss, and Discount Calculations
• Stem keywords: profit, discount, marked price
• Lead-in keywords: what will be
• Negative lead-in flag: false

Question ID

Q_qiLi1QmjqXiJbSq3qvH1

Copy ID