A, B and C spend 80%, 85% and 75% of their incomes, respectively. If their savings are in the ratio 8 : 9 : 20 and the difference between the incomes of A and C is ₹18,000, then the income of B is:

Let the Salary of A, B and C be a, b and c respectively.

Saving of A =$$ a \times \frac{20}{100}$$

Saving of B = $$b \times \frac{15}{100}$$

Saving of C = $$c \times \frac{25}{100}$$

According to the question,

$$a \times \frac{20}{100} : b \times \frac{15}{100} : c \times \frac{25}{100} = 8 : 9 : 20$$

$$a \times \frac{1}{5} : b \times \frac{3}{20} : c \times \frac{1}{4} = 8 : 9 : 20$$

a : b : c = 8 $$\times 5 : 9 \times \frac{20}{3} : 20 \times 4$$

a : b : c = 40 : 60 : 80 = 2 : 3 : 4

let the income of A, B and C be 2x, 3x and 4x.

Difference between the incomes of A and C = Rs.18,000

2x = 18000

x = 9000

Income of B = 3$$\times 9000$$ = Rs.27000