A family spends 20% of its monthly income on house rent. Out of the remaining amount, the family spends 50% on household expenditure and 20% on children's education. If after doing so, its monthly saving is Rs. 6,600, then what is the total monthly income of the family?

20% of the monthly income is spent on house rent.

50% of the remaining income is spent on household expenditure.

20% of the remaining income is spent on children's education.

The monthly saving is Rs. 6,600.

The total monthly income is divided into different portions based on the percentages given for rent, household expenditure, children's education, and savings.​

Let the income =100 unit
20% spends on house rent = 20% of 100 = 20 unit
Remaining amount = 100-20 = 80 unit
50% of remaining on household expenditure = 50% of 80 = 40 unit
20% of remaining on children's education = 20% of 80 = 16 unit
Total Savings = Total Income - Total Expenses
Total Savings = 100- (20+ 40 +16) = 24 unit
24 unit = Rs. 6600
100 unit = Rs. 27500​​