A, B, C rented a camera at a rent of Rs. 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 Mumbai-2015

Explanation

The total rent of Rs. 350 must be divided among A, B, and C in the ratio of the hours they used the camera, which is 6:10:12.
This ratio simplifies to 3:5:6 by dividing each part by their greatest common divisor, 2.
The sum of the ratio parts is 3 + 5 + 6 = 14, representing the total number of shares the rent is divided into.
C's share corresponds to 6 parts out of the total 14.
The calculation for C's rent is (6/14) of the total rent: (6 / 14) × 350 = Rs. 150.

Option A: This is the amount to be paid by person A, not C.
Option B: This is the amount to be paid by person B, not C.
Option C: This amount is a result of a calculation error and does not correspond to any person's proportional share.

Visual 1: Infographic - A pie chart showing the total rent of Rs. 350 divided into three sections labeled A (Rs. 75), B (Rs. 125), and C (Rs. 150), with corresponding percentages of the total time.

Clinical Relevance

Nursing practice connection: This is primarily an exam-oriented knowledge point with limited direct bedside application, so retain Application of ratio and proportion to solve word problems as background academic context rather than a clinical decision trigger.
This type of problem tests general aptitude and numerical ability, which are essential skills often included in nursing entrance examinations.
The principle of proportional calculation is also applied in clinical nursing for tasks like titrating medication drips or calculating nutritional requirements based on patient weight.
What if? If the total rent was Rs. 420, C's share would be calculated as (6/14) × 420 = 6 × 30 = Rs. 180.

How to Approach the Question

Step 1: Identify the quantities to be compared and the total amount to be divided. Here, the quantities are the hours of usage (6, 10, 12) and the total amount is the rent (Rs. 350).
Step 2: Write the quantities as a ratio (6 : 10 : 12).
Step 3: Simplify the ratio to its lowest terms by dividing all parts by their greatest common divisor, which is 2. The simplified ratio is 3 : 5 : 6.
Step 4: Calculate the sum of the ratio parts (3 + 5 + 6 = 14).
Step 5: Determine the share for the specific individual (C) by using the formula: (Individual's ratio part / Sum of parts) × Total Amount.
Step 6: Perform the calculation to find the final answer: (6 / 14) × 350 = Rs. 150.

Concept Tested & Keywords

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