Pulkit's salary was Rs 35,000. He got a raise of Rs 7,000. Reena's salary was Rs 24,000. She was given a raise of Rs 6,000. Find what fraction of the original income the raise was for each and also which one of the two got a higher raise.

Answer

To solve the problem step by step, we need to determine the fraction of the original income that the raise represents for both Pulkit and Reena. We will also compare their raises to see who received a higher amount.

### Step 1: Identify Pulkit's original salary and raise
- Pulkit's original salary = Rs 35,000
- Pulkit's raise = Rs 7,000

### Step 2: Calculate the fraction of Pulkit's raise
To find the fraction of Pulkit's raise relative to his original salary, we use the formula:

\[ \text{Fraction of raise} = \frac{\text{Raise}}{\text{Original Salary}} = \frac{7000}{35000} \]

### Step 3: Simplify the fraction for Pulkit
We can simplify the fraction by canceling out the zeros:

\[ \frac{7000}{35000} = \frac{7}{35} = \frac{1}{5} \]

So, the fraction of Pulkit's raise is \( \frac{1}{5} \).

### Step 4: Identify Reena's original salary and raise
- Reena's original salary = Rs 24,000
- Reena's raise = Rs 6,000

### Step 5: Calculate the fraction of Reena's raise
Using the same formula:

\[ \text{Fraction of raise} = \frac{\text{Raise}}{\text{Original Salary}} = \frac{6000}{24000} \]

### Step 6: Simplify the fraction for Reena
Again, we simplify the fraction by canceling out the zeros:

\[ \frac{6000}{24000} = \frac{6}{24} = \frac{1}{4} \]

So, the fraction of Reena's raise is \( \frac{1}{4} \).

### Step 7: Compare the fractions
Now we compare the two fractions:

- Pulkit's fraction = \( \frac{1}{5} \)
- Reena's fraction = \( \frac{1}{4} \)

To compare \( \frac{1}{5} \) and \( \frac{1}{4} \), we can see that \( \frac{1}{4} \) is greater than \( \frac{1}{5} \).

### Conclusion
- Pulkit's raise as a fraction of his original salary is \( \frac{1}{5} \).
- Reena's raise as a fraction of her original salary is \( \frac{1}{4} \).
- Therefore, Reena received the higher raise.