Correct Answer - Option 4 : Rs. 7200, Rs. 8100
Given:
The ratio of income of A and B = 8 : 9
Increment in A’s income = 1700
The decrement in B’s income = 100
New ratio of income of A and B = 9 : 8
Formula used:
Income = Expenditure + Saving
Calculation:
Let the income of A and B is Rs. 8x and 9x respectively.
Then, (17x + 1700)/(9x – 100) = 17/8
⇒ 136x + 13600 = 153x – 1700
⇒ 136x – 153x = 13600 + 1700
⇒ 17x = 15300
⇒ x = 900
A’s income = 8 × 900
⇒ 7200
B’s income = 9 × 900
⇒ 8100
∴ The income of A and B is Rs. 7200 and Rs. 8100 respectively.