Average monthly income of P and Q is Rs.,5050. average monthly income of Q and R is Rs.,6250 and ave

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The average monthly income of $P$ and $Q$ is $Rs.\,5050.$ The average monthly income of $Q$ and $R$ is $Rs.\,6250$ and the average monthly income of $P$ and $R$ is $Rs.\,5200.$ The monthly income of $P$ is

A

$3500$

B

$4000$

C

$4050$

D

$5000$

Solution

Monthly income of $P$ and $Q=2 \times 5050=10100$ ….$(1)$

Monthly income of $Q$ and $R=2 \times 6250=12500$ ….$(2)$

Monthly income of $P$ and $R=2 \times 5200=10400$ ….$(3)$

$\frac{(1)+(2)+(3)}{2}-(2) \Rightarrow$

Monthly income of $P=\frac{10100+12500+10400}{2}-12500$

$=5050+6250+5200-12500$

$=16500-12500=Rs.\, 4000$

Standard 13

Quantitative Aptitude

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