The ratio of income of two persons is 10 ∶ 6 and that of their expenditures is 18 ∶ 10. If they save ₹ 5,200 and ₹ 3,600 respectively, their incomes are :

Given:

Ratio of income of two persons = 10 : 6

Ratio of their expenditure = 18 : 10 = 9 : 5

Their saving ₹ 5,200 and ₹ 3,600

Concept used:

Expenditure = Income - Saving

Calculations:

Let 10x and 6x be the income of the two persons respectively,

According to the question,

\(\frac{10x - 5200}{6x - 3600}\) = \(\frac{18}{10}\) = \(\frac{9}{5}\)

⇒ 5(10x - 5200) = 9(6x - 3600)

⇒ 50x - 26000 = 54x - 32400

⇒ 54x - 50x = 32400 - 26000

⇒ 4x = 6400

⇒ x = 1600

Thus,

their incomes = 10x = ₹ 16000 and 6x = ₹ 9600

∴ The correct answer is option (1).