The monthly incomes of two friends Gopal and Akshay are in the ratio of 5:7 respectively and each of them saves ₹93000 per month. If the ratio of their monthly expenditure is 2:4, then find the monthly income of Gopal (in ₹).

Let monthly incomes of Gopal and Akshay be $5x$ and $7x$.

Each saves ₹93,000.

Let their expenditures be in ratio $2:4 = 1:2$.

So, expenditures = $y$ and $2y$.

Income = Expenditure + Savings

For Gopal:

$5x = y + 93000$

For Akshay:

$7x = 2y + 93000$

Subtract first equation from second:

$7x-5x = (2y+93000) - (y+93000)$

$2x = y$

Put $y=2x$ in first equation:

$5x = 2x + 93000$

$3x = 93000$

$x = 31000$

Gopal’s income = $5x$

$= 5 \times 31000$

$= 155000$

$\therefore$ Correct Answer: ₹155000