A bag contains Rs. 90, comprising 50 paisa, 25 paisa and 10 paisa coins. If the ratio of 50 Paise, 25 paise and 10 paise coins is 2:3:5 then the number of 25 paisa coins will be :

1. A

   80

2. B

   120

3. C

   100

4. D

   135

Appeared in: RRB Staff Nurse Delhi-2015

Explanation

• The problem requires setting up an algebraic equation based on the given ratio of coins and the total monetary value.
• Let the common multiplier be 'x'. The number of 50p, 25p, and 10p coins are 2x, 3x, and 5x, respectively.
• The total value is calculated as (50 × 2x) + (25 × 3x) + (10 × 5x) = 9000 paisa (Rs. 90).
• Solving the equation 225x = 9000 gives x = 40.
• The number of 25 paisa coins is 3x, which is 3 × 40 = 120.

Why Other Options Were Wrong

• Option A: This is the number of 50 paisa coins (2x = 2 × 40 = 80), not the number of 25 paisa coins.
• Option C: This value might be obtained from a calculation error. It corresponds to the value of the 50 paisa coins in terms of x (100x), but not the number of any coin type.
• Option D: This value does not result from any logical calculation based on the given ratio and total amount. It is likely an arbitrary distractor.

Related Visual

• Visual 1: Flowchart - A flowchart showing the steps: 1. Define variables from ratio (2x, 3x, 5x). 2. Set up the value equation. 3. Solve for x. 4. Calculate the final number of coins.

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 monetary values as background academic context rather than a clinical decision trigger.
• This type of question tests foundational quantitative reasoning and the ability to translate word problems into algebraic equations.
• It is a common pattern in competitive exams, assessing skills in ratios, proportions, and basic algebra.
• What if the total amount was Rs. 45? The equation would be 225x = 4500, which gives x = 20. The number of 25 paisa coins would then be 3 × 20 = 60.

How to Approach the Question

• First, identify the key information: the total amount (Rs. 90), the types of coins (50p, 25p, 10p), and their ratio (2:3:5).
• Represent the unknown number of each coin using a variable 'x' and the given ratio (e.g., 2x, 3x, 5x).
• Convert all monetary values to a single unit, preferably the smallest one (paisa). Rs. 90 becomes 9000 paisa.
• Formulate an equation where the sum of the values of each coin type equals the total value: (Value of Coin 1 × Number of Coin 1) + ... = Total Value.
• Solve the algebraic equation for 'x'.
• Finally, use the value of 'x' to find the specific quantity asked in the question (number of 25 paisa coins = 3x).

Concept Tested & Keywords

• Concept Tested: Solving problems involving ratios and monetary values
• Stem keywords: bag contains Rs. 90, 50 paisa, 25 paisa, 10 paisa, ratio 2:3:5
• Lead-in keywords: number of 25 paisa coins

Question ID

QTAvW_2d9oNfmw5e6uo6Fb

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