Madhur's present salary is ₹ 3500. It will increase by 10% next year. What will be Madhur's salary after the increment?
Aptitude
Percentage
Difficulty: Easy
Choose an option
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A₹ 3850
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B₹ 3950
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C₹ 4000
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D₹ 3900
Answer
Correct Answer: ₹ 3850
Explanation
### Concept & Formula
This is a direct percentage increase problem. To find the new value after a percentage increase, calculate the increase amount and add it to the original base value, or simply multiply the original value by $(100 + \text{Increase})\%$.
### Step-by-Step Solution
* **Given**: Present salary = ₹ $3500$. Increment = $10\%$.
* **Calculation**:
1. Calculate the increment amount.
$$10\% \text{ of } 3500 = \frac{10}{100} \times 3500$$
$$= 350$$
2. Add the increment to the present salary to find the new salary.
$$\text{New Salary} = 3500 + 350$$
$$\text{New Salary} = 3850$$
### Exam Strategy & Shortcut
Finding $10\%$ of any number ending in zero is as simple as dropping the last zero (or moving the decimal point one place to the left). $10\%$ of $3500$ is instantly recognizable as $350$. Add $350$ to $3500$ mentally: $3500 + 300 = 3800$, plus $50 = 3850$. This should take no more than 3 seconds.
### Common Pitfall
Some students calculate the $10\%$ increment ($350$) and mistakenly select that as their final answer if it were an option, forgetting to add it back to the original principal to find the *final* salary. Always re-read what the question is asking for (increment amount vs. final salary).
### Final Answer
**Therefore, the correct answer is ₹ 3850.**