95
The ratio of monthly incomes of two persons is $11 : 7$ and the ratio of their monthly expenditures is $9 : 5$. If each of them saves ₹400 per month, find their monthly incomes.
Show SolutionHide Solution↓
Let the monthly income of two persons be $\text{Rs}11x$ & $\text{Rs}7x$
and monthly expenditure be $\text{Rs}9y$ & $\text{Rs}5y$
Therefore,
$11x - 9y = 400$ --- (1)
$7x – 5y = 400$ --- (2)
Solving (1) and (2), we get
$x = 200$
$\therefore$ monthly income of two persons are ₹2200 and ₹1400
and monthly expenditure be $\text{Rs}9y$ & $\text{Rs}5y$
Therefore,
$11x - 9y = 400$ --- (1)
$7x – 5y = 400$ --- (2)
Solving (1) and (2), we get
$x = 200$
$\therefore$ monthly income of two persons are ₹2200 and ₹1400