A cash amount has been distributed among A, B, C, and D in the proportion 5:2:4:3. If C gets 1000 more than D, what is D's share?

1. A

   2000

2. B

   1500

3. C

   3000

4. D

   None of the above

Appeared in: RML 2023

Explanation

• The shares of A, B, C, and D are in the ratio 5:2:4:3, which can be represented algebraically as 5x, 2x, 4x, and 3x, respectively.
• The problem states that C's share (4x) is ₹1000 more than D's share (3x).
• This relationship creates the equation: 4x - 3x = 1000, which simplifies to x = 1000.
• D's share is represented by 3x. Substituting the value of x, D's share is calculated as 3 * 1000 = ₹3000.

Why Other Options Were Wrong

• Option A: The value ₹2000 represents B's share (2x = 2 * 1000), not D's share.
• Option B: This value is arithmetically inconsistent with the problem's conditions. If D's share (3x) were ₹1500, then x would be 500. C's share (4x) would be ₹2000, making the difference only ₹500, not ₹1000.
• Option D: This option is incorrect because the calculated correct answer, ₹3000, is available as one of the other options.

Related Visual

Clinical Relevance

• Nursing practice connection: This is primarily an exam-oriented knowledge point with limited direct bedside application, so retain Solving word problems involving ratio and proportion as background academic context rather than a clinical decision trigger.
• While not a clinical question, the underlying skill of working with ratios is fundamental in nursing.
• Nurses use ratios and proportions daily for critical tasks like calculating medication dosages, diluting solutions, and interpreting lab results.
• For example, if a medication is available as 50 mg in 2 mL and a dose of 25 mg is needed, the nurse must calculate the correct volume (1 mL) using proportional reasoning.

How to Approach the Question

• First, read the question carefully to identify the key information: the ratio of distribution (5:2:4:3) and the specific condition (C gets ₹1000 more than D).
• Represent the unknown shares using a single variable, 'x', multiplied by the corresponding ratio number (e.g., A=5x, B=2x, C=4x, D=3x).
• Translate the specific condition into a mathematical equation. In this case, 'C gets 1000 more than D' becomes C - D = 1000, or 4x - 3x = 1000.
• Solve the equation to find the value of the common multiplier 'x'.
• Substitute the value of 'x' back into the expression for the share you need to find (D's share = 3x).
• Calculate the final answer and select the matching option.

Concept Tested & Keywords

• Concept Tested: Solving word problems involving ratio and proportion.
• Stem keywords: cash amount, distributed, proportion, 5:2:4:3, C gets 1000 more than D, D's share
• Lead-in keywords: what is
• Negative lead-in flag: false

Question ID

QDLgL72ZTMEclFWn5quhs_

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