The average monthly income of R1 and R2 is Rs. 99,500. The average monthly income of R2 and R3 is Rs. 1,15,600 and the average monthly income of R1 and R3 is Rs. 81,000. What will be the monthly income of R2?

1. A

   Rs. 1,39,400

2. B

   Rs. 1,45,300

3. C

   Rs. 1,22,200

4. D

   Rs. 1,34,100

Appeared in: UP CHO - 10 September 2021

Explanation

• The first step is to calculate the total income of all three individuals (R1 + R2 + R3), which is found to be Rs. 2,96,100.
• The total income of R1 and R3 is given by their average income multiplied by two: 81,000 × 2 = Rs. 1,62,000.
• To find the income of R2, the combined income of R1 and R3 is subtracted from the total income of all three individuals.
• The final calculation is: R2's Income = (R1 + R2 + R3) - (R1 + R3) = 2,96,100 - 1,62,000 = Rs. 1,34,100.

Why Other Options Were Wrong

• Option A: This value is incorrect and likely results from a miscalculation, such as subtracting the wrong pair's total income or an arithmetic error in addition or subtraction.
• Option B: This is an incorrect value. It may arise from an error during the summation of the paired incomes or in the final subtraction step.
• Option C: This value is incorrect. It could be the result of an arithmetic mistake, for instance, incorrectly dividing the sum of all pairs by two.

Related Visual

Clinical Relevance

• Nursing practice connection: This is primarily an exam-oriented knowledge point with limited direct bedside application, so retain Solving for an unknown variable using average income data as background academic context rather than a clinical decision trigger.
• While not a direct clinical skill, proficiency in basic mathematics is essential for nurses for tasks like calculating medication dosages, interpreting lab results, and managing fluid balances.
• This type of logical problem-solving helps develop critical thinking skills, which are paramount in making sound clinical judgments and prioritizing patient care.
• What if? - If the question asked for R1's income instead, the final step would be to subtract the total income of R2 and R3 (Rs. 2,31,200) from the total of all three (Rs. 2,96,100), resulting in Rs. 64,900.

How to Approach the Question

• Identify the given information: three average incomes for three pairs of individuals (R1 & R2, R2 & R3, R1 & R3).
• Convert each average income into a total sum by multiplying by 2. This gives you three equations for the sums: (R1 + R2), (R2 + R3), and (R1 + R3).
• Add these three sums together. Recognize that this new total represents twice the income of each person: 2(R1 + R2 + R3).
• Divide this combined sum by 2 to find the total income of all three individuals (R1 + R2 + R3).
• To find the income of a specific individual (R2), subtract the sum of the other two (R1 + R3) from the total sum of all three.
• Perform the final calculation carefully to arrive at the correct answer and match it with the given options.

Concept Tested & Keywords

• Concept Tested: Solving for an unknown variable using average income data.
• Stem keywords: average monthly income, R1, R2, R3
• Lead-in keywords: What will be

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