Question

Wasif spent 1/3 of his income on housing and 2/5 on daily expenditure and save the rest if he save 24600 what was his income altogether

Answer 1

61500

Explanation:

1/3 = 3/15

2/5 = 6/15

1 - 3/15 - 6/15 = 6/15

6/15 = 24600

24600 ÷ 6 × 15 = 61500

Answer 2

92250

Explanation:

Forming algebraic equation and solving:

Let the income = x

Amount spent on housing = (1/3) of the income

`\sf = (1)/(3)x`

Amount spent of daily expenditure = (2/5) of the income

`\sf =(2)/(5)x`

Income = Savings + housing expenditure + daily expenditure

Income - housing expenditure - daily expenditure = savings

`\sf x - (1)/(3)x-(2)/(5)x=24600\\\\\\(x*15)/(1*15)-(1*5)/(3*5)x-(2*3)/(5*3)x = 24600\\\\\\`

`\sf (15)/(15)x-(5)/(15)x-(6)/(15)x = 24600\\\\\\((15 -5 - 6))/(15)x = 24600`

`\sf (4)/(15)x = 24600`

`\sf x = 24600 *(15)/(4)\\\\ x = 6150*15`

Income = 92250