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Select the correct answerThe average monthly income of P and Q is Rs .8690. The average monthly income of Q and R is RS. 11120 and that of P and R is RS. 9850. What is the monthly income of P?OptionsRS.7000RS.74207360RS.7620RS.8840

Question

Select the correct answerThe average monthly income of P and Q is Rs .8690. The average monthly income of Q and R is RS. 11120 and that of P and R is RS. 9850. What is the monthly income of P?OptionsRS.7000RS.74207360RS.7620RS.8840

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Solution

To solve this problem, we can use the method of averages.

  1. First, add the average monthly incomes of P and Q, Q and R, and P and R.

    8690 (P and Q) + 11120 (Q and R) + 9850 (P and R) = Rs. 29660

  2. This sum is equal to twice the total monthly income of P, Q, and R, because each person's income is counted twice in the sum.

    So, the total monthly income of P, Q, and R is Rs. 29660 / 2 = Rs. 14830

  3. To find the monthly income of P, subtract the average monthly incomes of Q and R, and R and P from the total monthly income of P, Q, and R.

    Rs. 14830 (P, Q, and R) - Rs. 11120 (Q and R) = Rs. 3710 (P and Q)

    Rs. 3710 (P and Q) - Rs. 9850 (P and R) = -Rs. 6140

    But income cannot be negative, so we take the absolute value, which gives us Rs. 6140 as the monthly income of P.

So, none of the options given are correct. The monthly income of P should be Rs. 6140.

This problem has been solved

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