Question

8. The ratio of the incomes of Ashok and Amit is
8:9. The ratio of their expenses is 9:11. If each
one saves 28,000, find their income.
​

Answer 1

Solution :-

Given : The ratio of the incomes of Ashok and Amit is 8 : 9.

The ratio of their expenses is 9 : 11.

Let the income of Ashok and Amit be 8x and 9x respectively.

According to the question,

=> (8x - 28000)/(9x - 28000) = 9/11

=> 11(8x - 28000) = 9(9x - 28000)

=> 88x - 308000 = 81x - 252000

=> 88x - 81x = 308000 - 252000

=> 7x = 56000

=> x = 56000/7 = 8000

Hence,

Ashok's income = 8x = 8 × 8000 = Rs 64000

Amit's income = 9x = 9 × 8000 = Rs 72000

Answer 2

Hey There.....!!

Given-:

Ratio of incomes of Ashok and Amit = 8:9

So, let Ashok's income be 8x ₹

and Amit's income be 9x ₹

Ratio of their expenses = 9:11

So, let Askhok spends 9y ₹

and Amit spends 11y ₹

Each one saves ₹ 28,000

So according to the given condition,

For Ashok -

8x - 9y = 28000 __(1)

For Amit -

9x - 11y = 28000 _(2)

Solving the two equations simultaneously,

Multiply the (1) equation by 9 and the (2) equation by 8

we will get equations as--

(1) 72x - 81y = 252000

(2) 72x - 88y = 224000

Subtract the two equations and we will get =>

7y = 28000

y = 4000

Substituting the value of Y in any of the two equations,

I'm going to substitute in

equation (1)

8x - 9y = 28000

8x - (9×4000) = 28000

8x = 28000+36000

8x = 64,000

x = 8000

Ashok's income = 8x

= 64,000 Rs

Amit's income = 9x

= 72,000 Rs

Hope this helps!!