A case amount has been distributed in A, B, C, and D in the proportion 5:2:4:3. If C gets 1000 more than D. What is B's

Appeared in: RML Lucknow - 2021

Explanation

The problem is based on ratios. The shares of A, B, C, and D can be represented as 5x, 2x, 4x, and 3x.
The condition 'C gets 1000 more than D' translates to the equation 4x = 3x + 1000.
Solving this equation gives x = 1000. This means one part of the ratio is equal to 1000.
B's share is 2 parts (2x), so B's share is 2 * 1000 = 2000.

Option B: This value would be B's share if one part of the ratio was 750 (1500 / 2), which contradicts the given information that the difference between C's and D's share is 1000.
Option C: This value is too small and likely results from a calculation error, perhaps confusing the difference in money (1000) with the ratio parts.
Option D: This option is incorrect because a correct answer (2000) is available as one of the other options.

Clinical Relevance

Nursing practice connection: This is primarily an exam-oriented knowledge point with limited direct bedside application, so retain Ratio and Proportion as background academic context rather than a clinical decision trigger.
This question tests fundamental quantitative reasoning and problem-solving skills, which are essential for various calculations in professional settings, including dosage calculations in nursing.
Understanding how to work with ratios is crucial for interpreting data and making proportional adjustments in many fields.
What if the question stated that the total amount distributed was 14,000? In that case, the total ratio parts (5+2+4+3 = 14) would equal 14,000, making one part equal to 1000. B's share would still be 2 * 1000 = 2000.

How to Approach the Question

First, identify the core information: the ratio (5:2:4:3) and the relationship between two parts (C gets 1000 more than D).
Represent the shares using a variable. Let the shares be 5x, 2x, 4x, and 3x.
Translate the given relationship into a mathematical equation: C's share - D's share = 1000, which becomes 4x - 3x = 1000.
Solve the equation to find the value of 'x', which represents one 'part' of the ratio.
Use the value of 'x' to calculate the required quantity, which is B's share (2x).
Finally, check your answer against the given options.

Concept Tested & Keywords

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