Two workers X and Y are paid a total of Rs. 9000 by their employer. Y received 25 percent more than the sum received by X. How much did Y receive?

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

Explanation

The problem states that Y's payment is 25% more than X's. This can be expressed as Y = 1.25 * X.
The total payment is the sum of their shares: X + Y = 9000.
By substituting the first expression into the second, we get X + 1.25X = 9000, which simplifies to 2.25X = 9000.
Solving for X gives X = 9000 / 2.25 = 4000.
The question asks for Y's share, which is calculated as Y = 1.25 * 4000 = 5000.

Option A: This is the amount received by worker X, not worker Y. It's a common mistake to solve for the first variable and forget to answer the actual question asked.
Option B: This amount is the result of a calculation error. It does not satisfy the conditions that the total is 9000 and one share is 25% more than the other. For instance, if Y is 5500, X would be 3500, and 5500 is not 1.25 times 3500.
Option D: This amount represents an equal 50/50 split of the total sum (9000 / 2 = 4500). This ignores the key condition that worker Y received 25% more than worker X.

Clinical Relevance

Nursing practice connection: This is primarily an exam-oriented knowledge point with limited direct bedside application, so retain Quantitative Aptitude: Percentages and Ratios as background academic context rather than a clinical decision trigger.
While not a clinical question, the underlying skill of calculating percentages is crucial in nursing.
Nurses frequently use percentage calculations for medication dosages, such as increasing or decreasing a dose by a specific percentage based on a patient's response or weight.
This skill is also vital for interpreting changes in lab values, assessing fluid balance (e.g., percentage of body weight lost), and calculating nutritional requirements.

How to Approach the Question

First, carefully read the problem to identify the knowns (total amount = 9000) and the relationship between the unknowns (Y is 25% more than X).
Translate the word problem into algebraic equations. Let 'x' be X's share and 'y' be Y's share. This gives you: x + y = 9000 and y = 1.25x.
Use substitution to create a single equation with one variable: x + 1.25x = 9000.
Solve this equation to find the value of 'x'.
Once 'x' is known, calculate 'y' using the relationship y = 1.25x.
Finally, re-read the question to ensure you are providing the value it asks for (Y's share, not X's) and select the corresponding option.

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.