Mrs. Deepa Devi saves 30% of her salary. If she receives Rs. 42,000 per month as her salary, what is her monthly expenditure?
Rs. 29,400
The question asks us to find the monthly expenditure of Mrs. Deepa Devi. We are given her total monthly salary and the percentage of her salary that she saves. To find the expenditure, we need to first calculate the amount she saves and then subtract that amount from her total salary.
Here are the key pieces of information provided:
The relationship between salary, savings, and expenditure is:
Salary = Savings + Expenditure
Therefore, to find the expenditure, we can rearrange the formula:
Expenditure = Salary - Savings
Mrs. Deepa Devi saves 30% of her monthly salary. To calculate the amount saved, we need to find 30% of Rs. 42,000.
Percentage means 'out of 100', so 30% can be written as \(\frac{30}{100}\).
Amount Saved = 30% of Rs. 42,000
Amount Saved \( = \frac{30}{100} \times 42000 \)
We can simplify this calculation:
\( = 30 \times \frac{42000}{100} \)
\( = 30 \times 420 \)
Let's calculate \(30 \times 420\):
\( 30 \times 420 = 12600 \)
So, Mrs. Deepa Devi saves Rs. 12,600 per month.
Now that we know her total salary and the amount she saves, we can find her expenditure using the formula:
Expenditure = Salary - Savings
Expenditure = Rs. 42,000 - Rs. 12,600
Expenditure \( = 42000 - 12600 \)
Let's perform the subtraction:
\( 42000 \)
\( - 12600 \)
\( \rule{4em}{0.4pt} \)
\( 29400 \)
Her monthly expenditure is Rs. 29,400.
Thus, Mrs. Deepa Devi's monthly expenditure is Rs. 29,400.
| Item | Amount (Rs.) |
|---|---|
| Monthly Salary | 42,000 |
| Percentage Saved | 30% |
| Amount Saved | 12,600 |
| Monthly Expenditure | 29,400 |
| Concept | Description | Example |
|---|---|---|
| Percentage | A way to express a fraction of 100. \(x\%\) means \(\frac{x}{100}\). | 30% = \(\frac{30}{100}\) = 0.30 |
| Salary | Regular payment made by an employer to an employee, especially in the case of professional or office work. | Rs. 42,000 monthly salary |
| Savings | The part of income that is not spent. Often kept for future use or investment. | 30% of salary saved |
| Expenditure | The amount of money spent. | Salary minus Savings |
| Calculating Percentage Amount | To find \(x\%\) of a value \(V\), calculate \(\frac{x}{100} \times V\) or \( \frac{x}{100} \times V \). | 30% of 42000 = \(\frac{30}{100} \times 42000\) |
Understanding salary, savings, and expenditure is fundamental to personal budgeting. A budget helps you manage your money effectively by planning how to spend and save.
A common budgeting guideline is the 50/30/20 rule, where 50% of income goes to needs (essential expenditure), 30% to wants (non-essential expenditure), and 20% to savings and debt repayment. In this problem, Mrs. Deepa Devi saves 30%, meaning her expenditure (needs + wants) is 70%.
Calculating 70% of Rs. 42,000:
\( 70\% \text{ of } 42000 = \frac{70}{100} \times 42000 = 70 \times 420 = 29400 \)
This confirms our previous calculation that her expenditure is Rs. 29,400.
If 3A = 4B = 5C, then A : B : C is equal to:
If a : b :: b : c, and b = 96, then which of the following can be a possible pair of values of a and c?
If 405 : y :: y : 125, and y > 0, then find the value of y.
If an amount of Rs. 990 is divided among A, B and C in the ratio of 3 : 4 : 2, then B will get:
The ratio of the number of boys to the number of girls in a school of 640 students, is 5 : 3. If 30 more girls are admitted in the school, then how many more boys should be admitted so that the ratio of boys to that of the girls, becomes 14 : 9.
In a college union, there are 48 students. The ratio of the number of boys to the number of girls is 5 : 3. The number of girls to be added in the union, so that the number of boys to girls in 6 : 5 is
In a coloured picture of blue and yellow colour, blue and yellow colour is used in the ratio of 4 : 3 respectively. If in the upper half, blue : yellow is 2 : 3, then in the lower half blue : yellow is
A sum of Rs. 15525 is divided among Sunil, Anil and Jamil such that if Rs. 22, Rs. 35 and Rs. 48 be diminished from their shares respectively, their remaining sums shall be in the ratio 7 : 10 : 13. What would have been the ratio of their sums if Rs. 16, Rs. 77 and Rs. 37 respectively were added to their original shares?
In a wallet, there are notes of the denominations Rs. 10 and Rs. 50. The total number of notes is 12. The number of Rs. 10 and Rs. 50 notes are in the ratio of 1 : 2. Total money in the wallet is:
A is chasing B in the same interval of time. A jumps 8 times, while B jumps 6 times. But the distance covered by A in 7 jumps is the same as that of B in 5 jumps. The ratio between the speeds of A and B is ________.
Meena sells 70 red marbles and 105 blue marbles in boxes without mixing such that each box has x number of marbles. What is the value of x?
If 3A = 4B = 5C, then A : B : C is equal to:
Three persons are walking from A to B, Their speeds are in the ratio of 5 : 4 : 3. The time ratio to reach B will be _____.
Milk contains 5% of water. What quantity of pure milk should be added to 8 liters of milk to reduce this to 4%?
Divide Rs. 156 in the ratio 1 : 2 : 4 : 5. The rupees in the respective ratios are given by:
A. 13, 26, 53 & 64
B. 13, 26, 51 & 66
C. 13, 26, 52 & 65
D. 13, 25, 53 & 65