Question

The monthly incomes of a and b are in the ratio 3:7 and their expenses are in the ratio 1:3. If each of them saves rs.200 at the end of a month, find the annual income of



a.

Answer 1

Given :- The monthly incomes of a and b are in the ratio 3:7 and their expenses are in the ratio 1:3. If each of them saves rs.200 at the end of a month, find the annual income of a ?

Solution :-

Let us assume that,

• income of a = 3x
• income of b = 7x
• expenditure of a = y
• expenditure = 3y .

we know that,

• Income - Expenditure = Saving .

So,

→ 3x - y = 200 --------- (1)

→ 7x - 3y = 200 -------- (2)

Multiply first equation by 3 and subtracting (2) from (1),

→ 3(3x - y) - (7x - 3y) = 3*200 - 200

→ 9x - 7x - 3y + 3y = 600 - 200

→ 2x = 400

→ x = 200 .

Therefore,

→ Monthly income of a = 3x = 3 * 200 = Rs.600 .

Hence,

→ Annual income of a = 600 * 12 = Rs.7200 (Ans.)

Learn more :-

what is the sum (in Rs) which when divided among A, B, C, D in the proportion 2:3:5:8 provides Rs 8420 less to D the wha...

https://brainly.in/question/26704366

two vessels x and y of capacities one and two litres respectively and completely filled with mixtureof two chemicals a a...

https://brainly.in/question/26618169