The ratio of the income of A to that of B is 3 : 7. A and B save Rs.4,000 and Rs.2,000 respectively. If the expenditure of A is equal to 16\(\frac{2}{3}\)% of the expenditure of B, then the total income of A and B is:

20000

Ratio of Income of A and B = 3 : 7

Ratio of Expenditure of A and B = 1 : 6          [16\(\frac{2}{3}\)% = \(\frac{1}{6}\)]

ATQ,

⇒ \(\frac{3R - 4000}{7R - 2000}\) = \(\frac{1}{6}\)

⇒ 18R - 24000 = 7R - 2000

⇒ 11R = 22000

⇒ 1R = 2000

So,

Sum of income of A & B = 3R + 7R = 10R = 10 × 2000 = 20000