By how much is 60% of 50 greater than 2/5 of 25?

Appeared in: DSSSB 12 August 2024

Explanation

The first part of the calculation is to find 60% of 50, which is (60/100) * 50 = 30.
The second part of the calculation is to find 2/5 of 25, which is (2/5) * 25 = 10.
The question asks 'by how much is the first value greater than the second', which requires finding the difference between the two results.
Subtracting the second value from the first gives the final answer: 30 - 10 = 20.

Option A: This value is a result of a calculation error. It does not match the correct difference of 20.
Option B: This value is a result of a calculation error. It does not match the correct difference of 20.
Option C: This value is a result of a calculation error. It does not match the correct difference of 20.

Clinical Relevance

Nursing practice connection: This is primarily an exam-oriented knowledge point with limited direct bedside application, so retain Calculation of percentages and fractions as background academic context rather than a clinical decision trigger.
This question tests basic numeracy, a critical skill for nurses to ensure patient safety.
Accurate calculation of percentages and fractions is essential for tasks like medication dosage calculation, IV drip rate settings, and interpreting patient data (e.g., percentage of weight loss).
What if? - If the question asked for the sum of the two values ('What is 60% of 50 plus 2/5 of 25?'), the answer would be 30 + 10 = 40. This highlights the importance of carefully reading the question to understand the required mathematical operation.

How to Approach the Question

First, identify the two distinct parts of the problem that need to be calculated: '60% of 50' and '2/5 of 25'.
Calculate the first value. To find a percentage of a number, convert the percentage to a decimal or fraction and multiply (e.g., 0.60 * 50).
Calculate the second value. To find a fraction of a number, multiply the fraction by that number (e.g., (2/5) * 25).
Read the question carefully to determine the final operation. The phrase 'by how much... greater than' indicates you need to find the difference, which means you must subtract the smaller value from the larger value.
Perform the final subtraction to get the answer.
Compare your result with the given options to find the correct one.

Concept Tested & Keywords

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Practise the full DSSSB 12 August 2024

Attempt every question from this paper in a timed mock, then review the full solution for each one.