# The income of A and B is in the ratio 8 : 9. If their total income is increased by Rs.1700 and B’s income gets decreased by Rs 100 then the ratio of i

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The income of A and B is in the ratio 8 : 9. If their total income is increased by Rs.1700 and B’s income gets decreased by Rs 100 then the ratio of income of A and B becomes 9 : 8. Find the original income of A and B.

1. Rs. 7000, Rs. 8000
2. Rs. 7000, Rs. 9000
3. Rs. 8000, Rs. 9000
4. Rs. 7200, Rs. 8100
5. None of these

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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.