By how much is 60% of 70 greater than $\frac{1}{5}$ of 25?

Appeared in: Bihar NHM CHO-2025

Explanation

The first part of the calculation is finding 60% of 70, which is (60/100) * 70 = 42.
The second part is calculating 1/5 of 25, which is (1/5) * 25 = 5.
The question asks 'by how much is the first value greater than the second', which means finding the difference between the two values.
Subtracting the second value from the first gives the final answer: 42 - 5 = 37.

Option A: The value 34 is an incorrect result obtained through a calculation error, possibly by subtracting 8 from 42 instead of 5.
Option B: The value 31 is an incorrect result. This would be the answer if the difference was calculated as 36 - 5, implying an error in the initial percentage calculation.
Option D: The value 35 is incorrect. This common error might occur if one incorrectly calculates 1/5 of 25 as 7 (since 42 - 7 = 35) or misinterprets the question.

Visual 1: Flowchart: A simple flowchart can illustrate the process: [Box 1: Calculate 60% of 70 = 42] -> [Box 2: Calculate 1/5 of 25 = 5] -> [Box 3: Subtract Box 2 from Box 1: 42 - 5 = 37].

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.
While not a clinical question, this type of basic math is a fundamental skill for nurses.
Nurses use percentages and fractions daily for critical tasks such as calculating medication dosages, determining IV drip rates, and interpreting lab results.
What if? If a nurse needed to administer 60% of a 70mg tablet, they would need to accurately calculate this as 42mg. A miscalculation could lead to underdosing or overdosing, posing a significant patient safety risk.

How to Approach the Question

First, break the question down into its core components. You need to find two separate values.
The first value is '60% of 70'. Calculate this by converting the percentage to a decimal (0.60) and multiplying by 70.
The second value is '1/5 of 25'. Calculate this by multiplying the fraction by the number.
The phrase 'By how much is... greater than...' is a key indicator that you need to perform subtraction.
Subtract the second calculated value from the first calculated value to find the final answer.
Compare your result with the given options to select the correct one.

Concept Tested & Keywords

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Practise the full Bihar NHM CHO-2025

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