Question

The monthly income of A and B are in ratio 7:5 and their expenditure are in ratio 3:2 if each saves 1500 rupees find their income

Answer 1

Answer:

Step-by-step explanation:

Answer 2

Given :-

• The monthly income of A and B are in ratio 7:5 and their expenditure are in ratio 3:2 if each saves 1500 rupees.

To find :-

• Find income of A and B

Solution :-

Let the monthly income be x

• A's income = 7x
• B's income = 5x.

Now, let their expenditure be y

• A's expenditure = 3y
• B's expenditure = 2y

Each of saves Rs.1500

According to the given condition

• 7x - 3y = 1500 --(i)
• 5x - 2y = 1500 --------(ii)

Multiply (i) by 2 and (ii) by 3

• 14x - 6y = 3000
• 15x - 6y = 4500

Subtract both the equations

→ (14x - 6y) - (15x - 6y) = 3000 - 4500

→ 14x - 6y - 15x + 6y = - 1500

→ 14x - 15x = - 1500

→ - x = - 1500

→ x = 1500

Hence,

• Income = Rs.1500

Therefore,

• A's income = 7x = Rs.10500
• B's income = 5x = Rs.7500