Question

2. Annual income of A and B is in the ratio of 5:4 and their annual expense bear
a ratio of 4:3. If each of them saves Rs.500 at the end of the year, find their
annual income.
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Answer 1

$\Large\bold{\boxed{\boxed{Your\:Question}}}$ :-- Find their annual income....

$\rule{200}{4}$

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Let A:B (Income) = 5:4

Let A:B(expense) = 4:3

now, we know that :---

Saving = (income - expense)

so,

(5-4):(4:3) = 1:1 = 500:500

so,

value of 1 unit = 500

A income is 5 unit = 500*5 = 2500Rs. (Ans)

B income is 4 unit = 500*4 = 2000Rs. (Ans)

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Answer 2

let x be the common factor of ratio 5:4

income of A=5x, B=4 x.

let y be the common factor of ratio 4:3

expenses of A=4y, B=3y.

now, earning - expenses= savings

so, 5x-4 y=500 (1)

4x-3y=500

x=(500+3y) /4

putting x in (1)

we will get expenses of A and B