Certainly! Let's address the problem step by step:
(i) Find his monthly income:
We know that the man spends Rs 7,500 every month to run his family and this expenditure represents [tex]\(\frac{1}{3}\)[/tex] part of his monthly income.
Let's denote his monthly income as [tex]\(I\)[/tex].
Given:
[tex]\[\text{Expenditure on family} = \frac{1}{3} \text{ of } I = 7500 \, \text{Rs}\][/tex]
To find the total monthly income [tex]\(I\)[/tex], we can set up the equation based on this information:
[tex]\[\frac{1}{3} I = 7,500\][/tex]
Multiply both sides of the equation by 3 to solve for [tex]\(I\)[/tex]:
[tex]\[I = 7,500 \times 3\][/tex]
[tex]\[I = 22,500 \, \text{Rs}\][/tex]
So, his monthly income is Rs 22,500.
(ii) If he spends [tex]\(\frac{3}{25}\)[/tex] parts of his income on his children's education, how much money does he spend on education?
We now know his monthly income is Rs 22,500. He spends [tex]\(\frac{3}{25}\)[/tex] parts of this income on his children's education.
To find the amount spent on education, we'll calculate:
[tex]\[\text{Education expenditure} = \frac{3}{25} \times 22500\][/tex]
First, calculate [tex]\(\frac{3}{25}\)[/tex] as a decimal or fraction of 22500:
[tex]\[\text{Education expenditure} = \frac{3 \times 22500}{25}\][/tex]
Next, perform the multiplication and division:
[tex]\[\text{Education expenditure} = \frac{67500}{25}\][/tex]
[tex]\[\text{Education expenditure} = 2,700 \, \text{Rs}\][/tex]
Therefore, he spends Rs 2,700 on his children's education each month.
