Income of Shantanu was ? 4000 . In the first 2 yr, his income decreased by 10% and 5% respectively but in the third year, the income increased by 15%. What was his income at the and of third year ?

Options

A. ? 3933
B. ? 4000
C. X 3500
D. X3540

Answer

To find Shantanu's income at the end of the third year after experiencing decreases and an increase in his income over three years, we can follow these steps:

### Step-by-Step Solution

1. **Initial Income**:
- Shantanu's initial income is Rs. 4000.

2. **First Year Decrease**:
- In the first year, his income decreases by 10%.
- Calculation:
\[ \text{Income after 1st year} = 4000 \times \left(1 - \frac{10}{100}\right) = 4000 \times \frac{90}{100} = 4000 \times 0.9 = 3600 \]

3. **Second Year Decrease**:
- In the second year, his income decreases by 5%.
- Calculation:
\[ \text{Income after 2nd year} = 3600 \times \left(1 - \frac{5}{100}\right) = 3600 \times \frac{95}{100} = 3600 \times 0.95 = 3420 \]

4. **Third Year Increase**:
- In the third year, his income increases by 15%.
- Calculation:
\[ \text{Income after 3rd year} = 3420 \times \left(1 + \frac{15}{100}\right) = 3420 \times \frac{115}{100} = 3420 \times 1.15 = 3921 \]

5. **Final Income**:
- Shantanu's income at the end of the third year is Rs. 3921.

### Final Answer:
Shantanu's income at the end of the third year is **Rs. 3921**.

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