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Bala decided to donate 10% of his salary...

Bala decided to donate `10%` of his salary to PM Care Fund. On the day of donation, he changed his mind and donated `Rs 1800` which was `60%` of what he had decided earlier. How much is his salary ?

A

A)`Rs 36000`

B

B)`Rs 32000`

C

C)`Rs 30000`

D

D)`Rs 40000`

Text Solution

AI Generated Solution

The correct Answer is:
To find Bala's salary based on the information given, we can follow these steps: 1. **Understand the Donation Amount**: Bala initially planned to donate 10% of his salary. However, he ended up donating Rs 1800, which is stated to be 60% of what he had originally planned to donate. 2. **Calculate the Original Donation Amount**: - Let the original donation amount (10% of his salary) be represented as \( D \). - According to the problem, Rs 1800 is 60% of \( D \). - We can express this relationship mathematically: \[ 0.6D = 1800 \] 3. **Solve for \( D \)**: - To find \( D \), we can rearrange the equation: \[ D = \frac{1800}{0.6} \] - Calculating this gives: \[ D = 3000 \] - Thus, the original donation amount (10% of his salary) is Rs 3000. 4. **Calculate the Salary**: - Since \( D \) is 10% of his salary, we can express his salary \( S \) as: \[ 0.1S = 3000 \] - Rearranging this gives: \[ S = \frac{3000}{0.1} \] - Calculating this results in: \[ S = 30000 \] 5. **Conclusion**: Bala's salary is Rs 30000. ### Summary of Steps: - Step 1: Understand the relationship between the donation amount and salary. - Step 2: Set up the equation based on the percentage of the donation. - Step 3: Solve for the original donation amount. - Step 4: Use the original donation amount to find the salary. - Step 5: Conclude with the final answer.
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