By doing a job A, B and C earn Rs.390. If the ratio of their work is 4:6:3, what will be the wage of C?

Appeared in: BSF Staff Nurse - 2015

Explanation

The problem requires dividing a total amount (Rs. 390) based on a given ratio (4:6:3).
First, sum the ratio terms to find the total number of shares: 4 + 6 + 3 = 13 shares.
Next, calculate the value of a single share by dividing the total amount by the total number of shares: Rs. 390 / 13 = Rs. 30 per share.
Finally, calculate C's wage by multiplying the value per share by C's ratio term: Rs. 30 × 3 = Rs. 90.

Option A: This value is incorrect. It does not correspond to the calculation based on the given ratio. C's share is 3 parts, and each part is worth Rs. 30, resulting in Rs. 90.
Option B: This is an incorrect calculation. For C's share to be Rs. 75, the value of one part would have to be Rs. 25 (75 ÷ 3). However, dividing the total earnings (Rs. 390) by the total parts (13) gives Rs. 30 per part.
Option D: This value is incorrect. It may result from a calculation error, such as miscalculating the value of one part. The correct value per part is Rs. 30.

Clinical Relevance

Nursing practice connection: This is primarily an exam-oriented knowledge point with limited direct bedside application, so retain Ratio and Proportion as background academic context rather than a clinical decision trigger.
This question assesses basic numeracy and problem-solving skills, which are fundamental for aptitude tests across various professions.
While not a clinical question, the ability to perform calculations involving ratios is crucial in healthcare for tasks like medication dosage calculations, interpreting lab value ratios, and managing resources.
What if? - If the total earnings were Rs. 520, the value of one part would be Rs. 520 / 13 = Rs. 40. C's wage would then be Rs. 40 × 3 = Rs. 120.

How to Approach the Question

First, carefully read the question to identify the total amount and the ratio in which it needs to be divided.
Sum the individual numbers of the ratio to find the total number of parts (e.g., 4 + 6 + 3 = 13).
Divide the total amount by the sum of the ratio parts to determine the value of a single part (e.g., 390 / 13 = 30).
Multiply the value of a single part by the ratio number corresponding to the person whose share you need to find (e.g., for C, it's 30 × 3).
The result is the final answer. Compare it with the given options to select the correct one.

Concept Tested & Keywords

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