Question

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. $5000$

Answer 1

The correct option is B $4000$

Let P, Q and R represent their respective monthly incomes. Then, we have:
$P+Q=(5050\times 2)=10100....\left(i\right)$
$Q+R=(6250\times 2)=12500.....\left(ii\right)$
$P+R=(5200\times 2)=10400....\left(iii\right)$
Adding (i), (iii) and (iii), we get: $2(P+Q+R)=33000$ or $P+Q+R=16500...\left(iv\right)$
Subtracting (ii) from (iv), we get $P=4000$.
$\therefore$ P's monthly income $=Rs.4000$.