The sum of salaries of A and B is ₹45000. A spends 85% of his salary and B spends 70% of his salary. If now their savings are the same, what is B’s salary (in ₹)?
A और B के वेतनों का योगफल ₹45000 है। A अपने वेतन का 85% और B अपने वेतन का 70% खर्च करता है। यदि अब उनकी बचत समान है, तो B का वेतन (₹ में) क्या है?

Options

A. 30000
B. 18000
C. 12600
D. 15000

Answer

To find B's salary given the conditions of the problem, we can follow these steps:

### Step 1: Define the Salaries
Let A's salary be \( A \) and B's salary be \( B \). According to the problem, we know:
\[ A + B = 45000 \]

### Step 2: Determine the Savings
A spends 85% of his salary, which means he saves 15% of his salary. Therefore, A's savings can be expressed as:
\[ \text{Savings of A} = 0.15A \]

B spends 70% of his salary, which means he saves 30% of his salary. Therefore, B's savings can be expressed as:
\[ \text{Savings of B} = 0.30B \]

### Step 3: Set Up the Equation for Equal Savings
According to the problem, A's savings are equal to B's savings:
\[ 0.15A = 0.30B \]

### Step 4: Simplify the Equation
We can simplify the equation by dividing both sides by 0.15:
\[ A = 2B \]

### Step 5: Substitute A in the Salary Equation
Now we can substitute \( A \) in the total salary equation:
\[ 2B + B = 45000 \]
This simplifies to:
\[ 3B = 45000 \]

### Step 6: Solve for B
Now, we can solve for B:
\[ B = \frac{45000}{3} = 15000 \]

### Conclusion
Thus, B's salary is ₹15000.

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