A sum of money is to be distributed among A,B, C and D in the ratio of 2:5:4:8. If C gets Rs. 400 more than A, then how much does D receive?

Appeared in: NORCET 2 - 2021 (shift-1)

Explanation

The problem is solved by first finding the value of a single unit of the ratio.
The difference in the ratio parts for C (4 parts) and A (2 parts) is 2 parts, which corresponds to Rs. 400.
Therefore, one ratio part is worth Rs. 200 (400 / 2).
D's share is 8 parts, so the total amount is 8 * 200 = Rs. 1600.

Option A: This is B's share (5x = 5 * 200), not D's share.
Option B: This value corresponds to 6 ratio parts (6 * 200). It might be a calculation error, perhaps by incorrectly adding A's and C's ratio parts (2+4=6) and calculating the share for that.
Option C: This is A's share (2x = 2 * 200). It is also the given difference between C's and A's shares, not D's total share.

Clinical Relevance

Nursing practice connection: This is primarily an exam-oriented knowledge point with limited direct bedside application, so retain Solving problems involving ratios and proportions as background academic context rather than a clinical decision trigger.
This is a quantitative aptitude question, not a clinical one. The ability to perform calculations involving ratios is a fundamental mathematical skill tested in various competitive exams.
What if? - If the stem changed one defining clue so that Rs. 1600 no longer matched, reassess the option whose mechanism, classification, or indication now fits the revised presentation.

How to Approach the Question

First, identify the ratio given for the distribution: A:B:C:D = 2:5:4:8.
Translate the word problem into a mathematical equation. 'C gets Rs. 400 more than A' becomes C - A = 400.
Represent the shares using a common variable 'x' (A=2x, C=4x) and substitute these into the equation: 4x - 2x = 400.
Solve the equation to find the value of 'x', which represents one unit of the ratio.
Use the calculated value of 'x' to find the required quantity, which is D's share (8x).

Concept Tested & Keywords

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Practise the full NORCET 2 - 2021 (shift-1)

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