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: AIIMS Delhi NO - 2017

Explanation

The total rent should be divided among A, B, and C in the ratio of the time they used the camera.
The ratio of usage is 6 hours : 10 hours : 12 hours, which simplifies to 3 : 5 : 6.
The sum of the parts of the ratio is 3 + 5 + 6 = 14.
C's share is calculated as (C's ratio part / Total ratio parts) × Total Rent.
Calculation: (6 / 14) × ₹ 350 = ₹ 150.

Option A: This amount represents A's share of the rent, not C's. It is calculated as (3 / 14) × ₹ 350 = ₹ 75.
Option B: This amount represents B's share of the rent. It is calculated as (5 / 14) × ₹ 350 = ₹ 125.
Option C: This is an incorrect calculation. It does not correspond to any of the shares based on the given ratio of usage.

Clinical Relevance

Nursing practice connection: This is primarily an exam-oriented knowledge point with limited direct bedside application, so retain Calculation of shares based on ratio and proportion as background academic context rather than a clinical decision trigger.
This question tests basic arithmetic and problem-solving skills, which are fundamental for various calculations in a clinical setting, such as medication dosage, fluid balance, and resource allocation.
What if? If the total rent was ₹ 420, C's share would be calculated as (6/14) × 420 = ₹ 180.

How to Approach the Question

First, identify the quantities to be compared and form a ratio. Here, it's the hours of camera usage: 6 : 10 : 12.
Simplify the ratio to its simplest form by dividing all parts by their greatest common divisor (2), which gives 3 : 5 : 6.
Calculate the sum of the ratio parts to find the total number of shares: 3 + 5 + 6 = 14.
Determine the value of one share by dividing the total amount by the sum of the ratio parts: ₹ 350 / 14 = ₹ 25.
Finally, calculate the required person's share by multiplying their ratio part by the value of one share. For C, this is 6 × ₹ 25 = ₹ 150.

Concept Tested & Keywords

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