The average monthly income of P and Q is ₹ 20000. The average monthly income of Q and R is ₹ 40000. Monthly income of R is how much more than monthly income of P?

Options

A. A) ₹40000
B. B) ₹80000
C. C) ₹20000
D. D) ₹25000

Answer

To solve the problem, we need to find out how much more the monthly income of R is compared to the monthly income of P. Let's break it down step by step.

### Step 1: Understand the given information
We know:
1. The average monthly income of P and Q is ₹20,000.
2. The average monthly income of Q and R is ₹40,000.

### Step 2: Set up equations based on the averages
From the average monthly income of P and Q:
\[ \frac{P + Q}{2} = 20000 \]
Multiplying both sides by 2 gives:
\[ P + Q = 40000 \quad \text{(Equation 1)} \]

From the average monthly income of Q and R:
\[ \frac{Q + R}{2} = 40000 \]
Multiplying both sides by 2 gives:
\[ Q + R = 80000 \quad \text{(Equation 2)} \]

### Step 3: Subtract Equation 1 from Equation 2
Now, we can subtract Equation 1 from Equation 2 to find the relationship between R and P:
\[ (Q + R) - (P + Q) = 80000 - 40000 \]
This simplifies to:
\[ R - P = 40000 \]

### Step 4: Conclusion
This means that the monthly income of R is ₹40,000 more than the monthly income of P.

### Final Answer
The monthly income of R is ₹40,000 more than the monthly income of P.

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