Sarita spends 65% of her salary and the rest she saves . If she saves Rs. 2940 per month , what is her monthly salary ?
A
`7400`
B
`8400`
C
`6400`
D
`5400`
Text Solution
AI Generated Solution
The correct Answer is:
To find Sarita's monthly salary, we can follow these steps:
### Step 1: Understand the problem
Sarita spends 65% of her salary, which means she saves the remaining percentage. If she saves Rs. 2940, we need to determine what her total salary is.
### Step 2: Determine the percentage saved
If Sarita spends 65% of her salary, then the percentage she saves is:
\[
100\% - 65\% = 35\%
\]
So, she saves 35% of her salary.
### Step 3: Set up the equation
Let Sarita's monthly salary be \( S \). According to the information given, we can express her savings as:
\[
35\% \text{ of } S = 2940
\]
This can be written mathematically as:
\[
0.35S = 2940
\]
### Step 4: Solve for \( S \)
To find \( S \), we need to isolate it. We can do this by dividing both sides of the equation by 0.35:
\[
S = \frac{2940}{0.35}
\]
### Step 5: Calculate \( S \)
Now, we will perform the division:
\[
S = \frac{2940}{0.35} = 8400
\]
### Conclusion
Sarita's monthly salary is Rs. 8400.
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