A, B, C rented a camera at a rent of ₹350. If they use it for 6 hours, 10 hours, and 12 hours respectively, the rent to be paid by C, is

Appeared in: RRB Staff Nurse Ahmedabad-2015

Explanation

The problem requires dividing a total cost (₹350) based on the ratio of usage time (6:10:12).
First, the ratio of usage time is simplified to its basic form. 6:10:12 simplifies to 3:5:6 by dividing each number by 2.
The sum of the ratio parts is 3 + 5 + 6 = 14.
C's share is calculated based on C's portion of the ratio (6 parts out of 14).
Calculation: (6/14) * ₹350 = ₹150.

Option A: This is the share of rent to be paid by A, not C.
Option B: This is the share of rent to be paid by B, not C.
Option C: This value is a result of a calculation error and does not represent the proportional share for any of the individuals.

Visual 1: Infographic: A pie chart showing the division of the ₹350 rent into three sections labeled A (₹75), B (₹125), and C (₹150), with corresponding percentages based on the ratio 3:5:6.

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 tests basic numeracy and problem-solving skills, which are essential for various calculations in a clinical setting, such as medication dosage, fluid intake/output tracking, and resource management.
While not a direct clinical scenario, the underlying skill of proportional reasoning is critical for nurses.
What if the total rent was ₹700? Following the same ratio (3:5:6), C's share would double to (6/14) * 700 = ₹300.

How to Approach the Question

Identify the total amount to be divided (₹350) and the basis for division (time used).
Write down the ratio of the time used by each person: 6 : 10 : 12.
Simplify this ratio to its smallest whole numbers by finding a common divisor (in this case, 2), which gives 3 : 5 : 6.
Calculate the sum of the ratio parts (3 + 5 + 6 = 14). This represents the total number of 'shares'.
Determine the fraction representing the share of the person in question (C's share is 6 out of 14, or 6/14).
Multiply this fraction by the total amount to find the individual's contribution: (6/14) * 350.

Concept Tested & Keywords

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