Amit's income is 30000 per month, he saves 6000 per month. find
(a) the percentage of his salary he saves every month
(b) what amount does he spend?
(c) percentage of his salary he spends every month
(d) Ratio of his expenses to his savings

To solve the problem, let's break it down step-by-step.

### Given:
- Amit's income per month = \( \text{INR} 30,000 \)
- Amit's savings per month = \( \text{INR} 6,000 \)

### (a) Percentage of his salary he saves every month
The percentage of his salary that Amit saves every month can be calculated using the formula:

\[
\text{Savings Percentage} = \left( \frac{\text{Savings}}{\text{Income}} \right) \times 100
\]

Plugging in the given values:

\[
\text{Savings Percentage} = \left( \frac{6000}{30000} \right) \times 100 = 20\%
\]

### (b) Amount he spends
The amount Amit spends can be calculated by subtracting his savings from his income:

\[
\text{Expenses} = \text{Income} - \text{Savings} = 30000 - 6000 = \text{INR} 24,000
\]

### (c) Percentage of his salary he spends every month
The percentage of his salary that Amit spends every month can be calculated using the formula:

\[
\text{Expenses Percentage} = \left( \frac{\text{Expenses}}{\text{Income}} \right) \times 100
\]

Using the values calculated:

\[
\text{Expenses Percentage} = \left( \frac{24000}{30000} \right) \times 100 = 80\%
\]

### (d) Ratio of his expenses to his savings
The ratio of Amit's expenses to his savings can be calculated using the formula:

\[
\text{Expenses to Savings Ratio} = \frac{\text{Expenses}}{\text{Savings}}
\]

Using the values calculated:

\[
\text{Expenses to Savings Ratio} = \frac{24000}{6000} = 4:1
\]

### Summary of Results:
(a) The percentage of his salary he saves every month: **20%**

(b) The amount he spends: **INR 24,000**

(c) The percentage of his salary he spends every month: **80%**

(d) The ratio of his expenses to his savings: **4:1**

Do you want details or have any questions?

### Relative Questions:
1. If Amit's income increases to INR 40,000 per month and his savings remain the same, what will be the new savings percentage?
2. If Amit decides to save 30% of his income, how much will he save per month?
3. How much would Amit need to save to achieve a savings rate of 25% of his current income?
4. If Amit’s expenses increase by 10%, what will be his new expenses amount?
5. What is the new ratio of his expenses to his savings if his expenses increase by 20%?
6. If Amit's income decreases by 10%, how much will he be spending per month assuming his savings remain the same?
7. If Amit plans to save INR 10,000 per month, what percentage of his income should this be?
8. What would be the savings percentage if Amit’s monthly savings are increased to INR 8,000 while his income remains INR 30,000?

### Tip:
When working with percentages and ratios, it's helpful to write out the formulas clearly and plug in the known values step by step to avoid any calculation errors.

Learn how to calculate the percentage of income Amit saves, his monthly expenses, and the ratio of expenses to savings based on his monthly income and savings. This problem involves basic arithmetic and percentage calculations suitable for students in Grades 6-8.

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