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The average monthly income of P and Q is Rs. 6050. The average monthly income of Q and R is Rs. 5250 and the average monthly income of P and R is Rs. 6200. The monthly income of P is

Question

The average monthly income of P and Q is Rs. 6050. The average monthly income of Q and R is Rs. 5250 and the average monthly income of P and R is Rs. 6200. The monthly income of P is

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Solution

Let's solve this step by step:

  1. The average monthly income of P and Q is Rs. 6050. This means the total income of P and Q is 2*6050 = Rs. 12100.

  2. The average monthly income of Q and R is Rs. 5250. This means the total income of Q and R is 2*5250 = Rs. 10500.

  3. The average monthly income of P and R is Rs. 6200. This means the total income of P and R is 2*6200 = Rs. 12400.

  4. If we add the total income of P and Q (Rs. 12100) and the total income of Q and R (Rs. 10500), we get Rs. 22600. This is the total income of P, Q, Q and R.

  5. If we subtract the total income of P and R (Rs. 12400) from this, we get Rs. 22600 - Rs. 12400 = Rs. 10200. This is the total income of P and Q.

  6. Since P and Q have the same total income, the monthly income of P is Rs. 10200.

This problem has been solved

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