A sum of money is to be distributed among A, B, C and D in the ratio of 4:5:6:7. If C gets Rs. 200 more than B, then how much does D receive?

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

Explanation

The problem involves distributing a sum of money based on a fixed ratio of 4:5:6:7.
The shares can be represented algebraically as 4x, 5x, 6x, and 7x, where 'x' is a common multiplier.
The key information is the difference between C's share (6x) and B's share (5x), which is given as Rs. 200.
This allows for the creation of an equation: 6x - 5x = 200, which simplifies to x = 200.
Once 'x' is found, D's share is calculated by multiplying its ratio part (7) by x: 7 * 200 = Rs. 1400.

Option A: This value represents B's share (5x = 5 * 200 = 1000), not D's share.
Option B: This value represents A's share (4x = 4 * 200 = 800), not D's share.
Option C: This value represents C's share (6x = 6 * 200 = 1200), not D's share.

Clinical Relevance

Nursing practice connection: This is primarily an exam-oriented knowledge point with limited direct bedside application, so retain Solving problems based on ratio and proportion as background academic context rather than a clinical decision trigger.
While not a clinical question, the underlying skill of proportional reasoning is critical in nursing.
Nurses use ratio and proportion for accurate medication dosage calculations, ensuring patient safety. For example, calculating mg/kg for pediatric doses.
This mathematical competency is also essential for interpreting lab results, mixing solutions, and managing IV drip rates.

How to Approach the Question

First, identify the given ratio (4:5:6:7) and the parties involved (A, B, C, D).
Represent the share of each party using a common variable, 'x' (i.e., 4x, 5x, 6x, 7x).
Translate the verbal condition ('C gets Rs. 200 more than B') into a mathematical equation (6x - 5x = 200).
Solve this simple linear equation to find the value of 'x'.
Use the calculated value of 'x' to find the specific quantity asked for in the question (D's share = 7x).
Finally, select the option that matches your calculated result.

Concept Tested & Keywords

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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.