If medicine costs 64 after 20% discount is allowed, what was its original price?

Appeared in: SGPGI Nursing Officer-2023

Explanation

A 20% discount implies that the final price paid is 80% (100% - 20%) of the original price.
The sale price is given as 64.
To find the original price, set up the equation: Original Price × 0.80 = 64.
Solving for the original price gives: Original Price = 64 / 0.80, which equals 80.

Option A: If the original price was 76.8, a 20% discount would make the sale price 61.44 (76.8 × 0.80), not 64.
Option C: If the original price was 88, a 20% discount would make the sale price 70.4 (88 × 0.80), not 64.
Option D: If the original price was 86.8, a 20% discount would make the sale price 69.44 (86.8 × 0.80), not 64.

Clinical Relevance

Nursing practice connection: This is primarily an exam-oriented knowledge point with limited direct bedside application, so retain Calculating Original Price from Discounted Price as background academic context rather than a clinical decision trigger.
This question tests basic mathematical aptitude, a crucial skill for nurses for tasks like medication dosage calculation, interpreting lab values, and managing fluid balances.
While not a direct clinical scenario, proficiency in percentage calculations ensures accuracy in many aspects of patient care and safety.
What if the discount was 25%? The sale price would represent 75% of the original. The original price would be 64 / 0.75 ≈ 85.33. This shows how the discount rate directly impacts the calculation.

How to Approach the Question

First, identify the knowns: the final price (64) and the discount percentage (20%).
Understand that a 20% discount means the final price is 100% - 20% = 80% of the original price.
Convert the resulting percentage to a decimal for calculation: 80% = 0.80.
Set up the algebraic equation: Original Price × 0.80 = 64.
Isolate the 'Original Price' variable by dividing the final price by the decimal: Original Price = 64 / 0.80.
Perform the division to find the answer (80) and select the corresponding option.

Concept Tested & Keywords

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