If Rs. 1500 is to be divided into three parts, proportional to 2/5 : 3/5 : 2/3, then what is the value of the third part?

Appeared in: DSSSB -28 August 2019 (Shift-2)

Explanation

The core task is to divide Rs. 1500 according to the ratio 2/5 : 3/5 : 2/3.
First, convert the fractional ratio to a whole number ratio by multiplying each term by the Least Common Multiple (LCM) of the denominators (5 and 3), which is 15. This gives a new ratio of 6 : 9 : 10.
The sum of the new ratio parts is 6 + 9 + 10 = 25.
The value of one ratio part is calculated by dividing the total amount by the sum of the parts: Rs. 1500 / 25 = Rs. 60.
The third part corresponds to 10 units in the ratio, so its value is 10 × Rs. 60 = Rs. 600.

Option A: This value does not correspond to any of the calculated parts of the ratio. It is an incorrect calculation.
Option B: This is the value of the second part of the ratio (9 parts × Rs. 60 per part = Rs. 540), not the third part.
Option D: This is the value of the first part of the ratio (6 parts × Rs. 60 per part = Rs. 360), not the third part.

Clinical Relevance

Nursing practice connection: This is primarily an exam-oriented knowledge point with limited direct bedside application, so retain Solving problems involving division of a quantity in a given fractional ratio as background academic context rather than a clinical decision trigger.
While this is a general math question, the underlying skill of proportional calculation is crucial in many nursing tasks.
Nurses use ratio and proportion for medication dosage calculations, ensuring a patient receives the correct amount of a drug based on their weight or a specific concentration.
This skill is also applied in fluid management, such as when calculating IV drip rates or dividing a total fluid volume over different time intervals (e.g., across three nursing shifts).

How to Approach the Question

First, identify the total quantity to be divided (Rs. 1500) and the given fractional ratio (2/5 : 3/5 : 2/3).
Recognize that working with fractional ratios is complex. The immediate goal is to convert it into a simple whole-number ratio.
To do this, find the Least Common Multiple (LCM) of all the denominators in the ratio. Here, the denominators are 5 and 3, so the LCM is 15.
Multiply each fraction in the ratio by the LCM (15) to get the whole number equivalents (6 : 9 : 10).
Sum these new ratio parts (6 + 9 + 10 = 25) to find the total number of 'shares' the amount is divided into.
Calculate the value of a single share by dividing the total amount by the total shares (1500 / 25 = 60).

Concept Tested & Keywords

Concept Tested: Solving problems involving division of a quantity in a given fractional ratio.
Stem keywords: Rs. 1500, divided, three parts, proportional to, 2/5 : 3/5 : 2/3
Lead-in keywords: what is the value
Negative lead-in flag: false

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E6 Nursing Fundamentals Taylor p. 916-918

Practise the full DSSSB -28 August 2019 (Shift-2)

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