200% of a number is 140. Then what is 160% of that number?

Appeared in: JIPMER Nursing Officer - 2020

Explanation

The problem requires a two-step calculation: first, find the original number from the given percentage, and second, calculate a new percentage of that number.
Step 1: If 200% of a number is 140, it means twice the number is 140. So, the number is 140 / 2 = 70.
Step 2: Calculate 160% of 70. This is (160/100) * 70, which equals 1.6 * 70 = 112.

Option A: 70 is the original number (100%), not 160% of it.
Option C: 224 is 320% of the original number (70), not 160%. It is double the correct answer.
Option D: 242 is the result of an incorrect calculation and does not represent a simple percentage of the original number.

Clinical Relevance

Nursing practice connection: This is primarily an exam-oriented knowledge point with limited direct bedside application, so retain Percentage Calculations as background academic context rather than a clinical decision trigger.
Percentage calculations are a fundamental skill in nursing for tasks like drug dosage calculations, interpreting lab value changes, and understanding statistical data in research.
For example, calculating a 10% weight loss for a patient or a 20% increase in a lab value requires the same foundational math skills.
What if the question asked for 160% more than the number? The calculation would be 70 + (1.6 * 70) = 70 + 112 = 182. Understanding the precise wording is crucial in clinical calculations.

How to Approach the Question

First, identify the two parts of the problem. The first sentence gives you information to find an unknown value. The second sentence asks you to use that value.
Translate the first sentence into a mathematical equation. '200% of a number is 140' becomes 2.0 * x = 140.
Solve for the unknown number 'x'. Here, x = 140 / 2 = 70.
Now, use this value to answer the second part of the question: 'what is 160% of that number?'
Translate the second part into an equation: 160% of 70 = (160/100) * 70.
Calculate the final result: 1.6 * 70 = 112 and match it with the given options.

Concept Tested & Keywords

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