The income of A and B are in the ratio 11 : 9. If their expenditure is

1.	The income of A and B are in the ratio 11 : 9. If their expenditure is in the ratio 17 : 15 then their savings are Rs. 2500 and Rs.1500 respectively. Find the income of B.1. 99002. 90003. 80004. 89005. None of these
Answer» Correct Answer - Option 2 : 9000 Given: The ratio of income of A and B = 11 : 9 The ratio of expenditure of A and B = 17 : 15 Saving of A = 2500 Saving of B = 1500 Formula used: Income = Expenditure + Saving Calculation: Let the income of A and B is Rs. 11x and Rs. 9x respectively. Then, (11x – 2500)/(9x – 1500) = 17/15 ⇒ 165x – 37500 = 153x - 25500 ⇒ 165x – 153x = 37500 – 25500 ⇒ 12x = 12000 ⇒ x = 1000 Income of B = 9 × 1000 = 9000 ∴ The income of B = 9000

The income of A and B are in the ratio 11 : 9. If their expenditure is in the ratio 17 : 15 then their savings are Rs. 2500 and Rs.1500 respectively. Find the income of B.1. 99002. 90003. 80004. 89005. None of these

Answer» Correct Answer - Option 2 : 9000

Given:

The ratio of income of A and B = 11 : 9

The ratio of expenditure of A and B = 17 : 15

Saving of A = 2500

Saving of B = 1500

Formula used:

Income = Expenditure + Saving

Calculation:

Let the income of A and B is Rs. 11x and Rs. 9x respectively.

Then, (11x – 2500)/(9x – 1500) = 17/15

⇒ 165x – 37500 = 153x - 25500

⇒ 165x – 153x = 37500 – 25500

⇒ 12x = 12000

⇒ x = 1000

Income of B = 9 × 1000 = 9000

∴ The income of B = 9000

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The income of A and B are in the ratio 11 : 9. If their expenditure is in the ratio 17 : 15 then their savings are Rs. 2500 and Rs.1500 respectively. Find the income of B.1. 99002. 90003. 80004. 89005. None of these

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