CameraIcon
CameraIcon
SearchIcon
MyQuestionIcon


Question

The ratio of income of two gentlemen is 9:7 and the ratio of their expenditure are 4:3. If each of them manages to save Rs. 2000 per month, find the difference in their monthly income.



A

Rs. 14000

loader
B

Rs.8000

loader
C

Rs.4000

loader
D

Rs. 6000

loader

Solution

The correct option is D

Rs.4000


Let x be the income of both the gentlemen and y be their expenditure.

Ratio of income = 9:7

Their total income = 9x + 7x = 16x

Ratio of their expenditure = 4 : 3

Their total expenses = 4y + 3y = 7y

savings = 2000 each    [given]

Since, Income – expense = saving

9x – 4y = 2000 --------- (i)

7x – 3y = 2000 ---------- (ii)

Solving the equation (i) and (ii), we get

x = 2000 and y = 4000

So, their monthly incomes = 9 × 2000 = Rs.18000

                                           = 7 × 2000 = Rs.14000

Difference in their income = Rs.(18000 - 14000) = Rs. 4000


Mathematics

Suggest Corrections
thumbs-up
 
0


similar_icon
Similar questions
View More


similar_icon
People also searched for
View More



footer-image