Certainly! Let's solve the given question step by step.
Father earns Rs 20,000 in a month. He spends [tex]\(\frac{1}{4}\)[/tex] of his earnings on food and [tex]\(\frac{2}{5}\)[/tex] on the education of his children.
We'll address each part of the question:
(i) How much money does he spend on food?
To find out how much he spends on food, we need to calculate [tex]\(\frac{1}{4}\)[/tex] of his monthly income.
[tex]\[
\text{Money spent on food} = \frac{1}{4} \times 20000 = 5000
\][/tex]
So, he spends Rs 5,000 on food.
(ii) How much money does he spend on education?
To find out how much he spends on education, we need to calculate [tex]\(\frac{2}{5}\)[/tex] of his monthly income.
[tex]\[
\text{Money spent on education} = \frac{2}{5} \times 20000 = 8000
\][/tex]
So, he spends Rs 8,000 on education.
(iii) What is his total expenditure in a month?
The total expenditure is the sum of the money spent on food and the money spent on education.
[tex]\[
\text{Total expenditure} = \text{Money spent on food} + \text{Money spent on education} = 5000 + 8000 = 13000
\][/tex]
So, his total expenditure in a month is Rs 13,000.
(iv) How much money does he save in a month?
The money saved is the difference between his total monthly income and his total expenditure.
[tex]\[
\text{Money saved} = \text{Monthly income} - \text{Total expenditure} = 20000 - 13000 = 7000
\][/tex]
So, he saves Rs 7,000 in a month.
To summarize:
1. He spends Rs 5,000 on food.
2. He spends Rs 8,000 on education.
3. His total expenditure is Rs 13,000 in a month.
4. He saves Rs 7,000 in a month.
