The annual incomes of two persons are in the ratio 9 7 and their expenses are in the ratio 4 3 If ea...........

Quantitative Aptitude (CDS) Simplification

The annual incomes of two persons are in the ratio 9 : 7 and their expenses are in the ratio 4 : 3. If each of them saves Rs. 2000 per year, what is the difference in their annual incomes?

Rs. 4000

Rs. 4500

Rs. 5000

Rs. 5500

छोटे Courses बड़े Results

Master Simplification

Prepare through Micro-courses

Try Now

Explanation:

Let annual incomes of two persons be 9x and 7x and
expenses be 4y and 3y, respectively.
Then, according to the question,
9x − 4y = 2000 …(i)
and 7x − 3y = 2000...............(ii)
From Eqs. (i) and (ii), we get 9x − 4y = 7x − 3y
=> y = 2x
On putting the value of y in Eq. (i), we get
9x − 8x = 2000
=> x = Rs. 2000
$\therefore$ Difference between their annual incomes
= 9x − 7x
= 2x = Rs.4000