If $6%$ of $x = 60$, then $x$ is equal to:

Appeared in: Bihar NHM CHO-2025

Explanation

The question translates to the algebraic equation: (6/100) × x = 60.
Converting the percentage to a decimal simplifies the equation to 0.06 × x = 60.
To solve for x, you must isolate it by dividing both sides of the equation by 0.06.
The calculation is x = 60 / 0.06, which results in x = 1000.

Why Other Options Were Wrong

Option A: 6% of 1100 is calculated as 0.06 × 1100, which equals 66, not 60.
Option B: 6% of 2100 is 0.06 × 2100, which equals 126, not 60.
Option C: 6% of 2000 is 0.06 × 2000, which equals 120, not 60.

Related Visual

$A simple diagram showing the relationship: Part \= Percentage / 100 × Whole. It could visually represent 60 as a small slice 6% of a larger circle representing the whole 1000.$

Visual 1: Infographic - A simple diagram showing the relationship: Part = (Percentage / 100) × Whole. It could visually represent 60 as a small slice (6%) of a larger circle representing the whole (1000).

Clinical Relevance

Nursing practice connection: This is primarily an exam-oriented knowledge point with limited direct bedside application, so retain Solving a basic percentage equation to find the whole number as background academic context rather than a clinical decision trigger.
While not a clinical question, basic percentage calculation is a fundamental skill in nursing practice.
It is essential for tasks like calculating drug dosages, determining IV drip rates, interpreting changes in lab values, and assessing nutritional information.
For example, a nurse must be able to calculate the correct dose when a medication is available in a certain percentage solution (e.g., preparing a 2% lidocaine solution).

How to Approach the Question

First, read the question carefully to identify the knowns and the unknown. Here, the 'part' is 60, the 'percentage' is 6%, and the 'whole' is the unknown variable 'x'.
Translate the word problem into a mathematical equation. '6% of x is 60' becomes (6/100) × x = 60.
Convert the percentage into a decimal (6/100 = 0.06) to make the calculation easier. The equation is now 0.06 × x = 60.
To solve for the unknown variable 'x', perform the inverse operation. Since 'x' is being multiplied by 0.06, you should divide both sides of the equation by 0.06.
Perform the division: x = 60 ÷ 0.06.
Calculate the final answer, which is 1000. Finally, quickly check your answer by plugging it back into the original problem: 6% of 1000 is indeed 60.

Concept Tested & Keywords

Concept Tested: Solving a basic percentage equation to find the whole number.
Stem keywords: percentage, 6%, variable x, equals 60
Lead-in keywords: is equal to

Question ID

QryMeY0u8b43IICWJ7fnto

Reference Book

Potter & Perry Fundamentals of Nursing 9th Edition — Part 1 p. 456-645

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