Tulsiram's salary is 20% more than that of Kashyap. If Tulsiram saves 720 which is 4% of his salary, then Kashyap's salary is

Options

A. A) 15000
B. B) 12000
C. C) 10000
D. D) 22000

Answer

To solve the problem step by step, we can follow these instructions:

### Step 1: Define the salaries
Let Kashyap's salary be \( K \). Since Tulsiram's salary is 20% more than Kashyap's, we can express Tulsiram's salary \( T \) as:
\[ T = K + 0.2K = 1.2K \]

**Hint:** Remember that "20% more" means you add 20% of the original amount to itself.

### Step 2: Relate savings to salary
We know that Tulsiram saves Rs. 720, and this amount represents 4% of his salary. Therefore, we can write:
\[ 720 = 0.04T \]

**Hint:** When dealing with percentages, remember that the percentage can be converted to a decimal by dividing by 100.

### Step 3: Calculate Tulsiram's salary
To find Tulsiram's salary, we rearrange the equation:
\[ T = \frac{720}{0.04} \]
Calculating this gives:
\[ T = 720 \times 25 = 18000 \]

**Hint:** To convert a percentage to a fraction, divide by 100. Here, \( 0.04 \) is \( \frac{4}{100} \) which simplifies to \( \frac{1}{25} \).

### Step 4: Find Kashyap's salary
Now that we know Tulsiram's salary \( T = 18000 \), we can use the relationship between their salaries to find Kashyap's salary:
\[ 1.2K = 18000 \]
To find \( K \), we rearrange this:
\[ K = \frac{18000}{1.2} \]
Calculating this gives:
\[ K = 15000 \]

**Hint:** When dividing by a decimal, it can be helpful to multiply both the numerator and the denominator by 10 to eliminate the decimal.

### Conclusion
Kashyap's salary is Rs. 15,000.

### Final Answer:
Kashyap's salary is Rs. 15,000.

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