Out of his total income, Rahul spends 10% on rent, 20% of remaining on food and 30% of remaining on children’s education. If he saves ₹ 20000, find his monthly income.
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Rahul's monthly income is 39682.53.
Given:
income spent on rent = 10%
income spent on food = 20% of the remaining income
income spent on children's education = 30% of the income left
money saved = Rs. 20,000
To Find:
Rahul's monthly income
Solution:
let Rahul's monthly income be x
⇒ rent = 0.1x
income left = x - 0.1x = 0.9x
so, the amount spent on food = 0.9x × 0.2 = 0.18x
income left = 0.9x - 0.18x = 0.72x
amount spent on children's education = 0.72x × 0.3 = 0.216
income left = 0.72x - 0.216x = 0.504x
⇒ 0.504x = 20,000
x = 20,000/0.504
x = 39682.53
Thus, Rahul's monthly income is 39682.53.
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