Question

The monthly incomes of A and B  are in the ratio 4 : 5, their expenses are in the ratio 5 : 6 If A saves Rs. 25 per month and B saves Rs. 50 per month. Find the income A & B.wW4:5the   their expenses are in

1. Rs. 400, Rs. 500
2. Rs. 240, Rs. 300
3. Rs. 320, Rs. 400
4. Rs. 440, Rs. 550
5. Rs. 300, Rs. 420

Answer 1

Correct Answer - Option 1 : Rs. 400, Rs. 500

Calculation:

Let be A's income = 4x

A's expenses, therefore = 4x - 25

Let B's income be = 5x 

B's expenses, therefore = 5x - 50

We know that the ratio of their expenses = 5 : 6

⇒ {(4x - 25)/(5x - 50)} = 5/6

⇒ 24x - 150 = 25x - 250

 ⇒ x = 100

Put the value of x, A & B income

⇒ A's income = 4 × 100= 400

⇒ B's income = 5 × 100 = 500

∴ Income of A and B are = Rs. 400 , Rs. 500