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:
Answer & explanation
Correct answer: option 2
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