Answer:
92250
Step-by-step explanation:
Forming algebraic equation and solving:
Let the income = x
Amount spent on housing = (1/3) of the income
[tex]\sf = \dfrac{1}{3}x[/tex]
Amount spent of daily expenditure = (2/5) of the income
[tex]\sf =\dfrac{2}{5}x[/tex]
Income = Savings + housing expenditure + daily expenditure
Income - housing expenditure - daily expenditure = savings
[tex]\sf x - \dfrac{1}{3}x-\dfrac{2}{5}x=24600\\\\\\\dfrac{x*15}{1*15}-\dfrac{1*5}{3*5}x-\dfrac{2*3}{5*3}x = 24600\\\\\\[/tex]
[tex]\sf \dfrac{15}{15}x-\dfrac{5}{15}x-\dfrac{6}{15}x = 24600\\\\\\\dfrac{(15 -5 - 6)}{15}x = 24600[/tex]
[tex]\sf \dfrac{4}{15}x = 24600[/tex]
[tex]\sf x = 24600 *\dfrac{15}{4}\\\\ x = 6150*15[/tex]
Income = 92250
