The ratio of daily incomes of P and Q is 9 : 7 and the ratio of their expenditures is 4: 3. If each saves 200 per day, then the sum of their daily incomes is :

A 3,600

B 4,200

C 4,800

D 5,600

E 3,200

Correct Answer: Option E

P : Q = 9 : 7

Daily income of P is 9x

Daily income of Q is 7x

Expenditure of P is 4y

Expenditure of Q is 3y

Now according to the problem, 9x – 4y = 200….(i)

And 7x – 3y = 200……(ii)

Multiplying equation (i) by 3 and multiplying equation (ii) by 4,

27x-12y = 600

28x-12y = 800

Subtracting the prior from the later,

X = 200

Daily income of P = 9x = 1800

Daily income of Q = 7x = 1400

Total daily income = 1800 + 1400 = 3200