A piggy bank contains Rs.410 in the form of Rs.5, Rs.2 and Rs.1 coins. The numbers of coins arein ratio 4: 6:9 respectively. So, find the number?

Appeared in: DHS Staff Nurse - 2018 (Shift-2nd)

Explanation

The problem involves setting up an equation based on the ratio of coins and their total value.
Let the number of Rs. 5, Rs. 2, and Rs. 1 coins be 4x, 6x, and 9x respectively, based on the given ratio.
The total value equation is (5 × 4x) + (2 × 6x) + (1 × 9x) = 410, which simplifies to 41x = 410, giving x = 10.
Substituting x=10, the number of Rs. 2 coins is 6 × 10 = 60.
Since 60 is one of the options, it is the correct answer, even though the question is ambiguously phrased.

Option A: This number does not correspond to the calculated number of any of the coin denominations (40 for Rs. 5, 60 for Rs. 2, 90 for Rs. 1).
Option B: This number does not correspond to the calculated number of any of the coin denominations (40, 60, 90).
Option D: This number does not correspond to the calculated number of any of the coin denominations (40, 60, 90).

Clinical Relevance

Nursing practice connection: This is primarily an exam-oriented knowledge point with limited direct bedside application, so retain Ratio and Proportion in Quantitative Aptitude as background academic context rather than a clinical decision trigger.
This question tests quantitative aptitude and logical reasoning, a non-clinical skill important for general problem-solving.
There is no direct clinical relevance to this specific mathematics problem.
What if? - If the stem changed one defining clue so that 60 no longer matched, reassess the option whose mechanism, classification, or indication now fits the revised presentation.

How to Approach the Question

First, carefully read the problem to identify the knowns (total value, coin denominations, ratio) and the unknown (number of coins).
Represent the number of each type of coin using a variable (e.g., 'x') and the given ratio (4x, 6x, 9x).
Create an equation that represents the total value of the coins by multiplying the number of each coin by its value.
Solve the equation for 'x'.
Use the value of 'x' to find the actual number of coins for each denomination.
Compare the calculated numbers with the given options to find the correct answer. Note that the question may be implicitly asking for one of these calculated numbers.

Concept Tested & Keywords

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Practise the full DHS Staff Nurse - 2018 (Shift-2nd)

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