Difficulty: Easy
Correct Answer: Rs. 150
Explanation:
Introduction / Context:
This is a straightforward percentage calculation question where we need to find a given percent of a specified amount of money. These types of questions form the foundation of more complex percentage and profit and loss problems, so it is important to be comfortable with them.
Given Data / Assumptions:
Concept / Approach:
To find 30 percent of a number, we convert the percentage to a fraction or decimal and then multiply by the number. Thirty percent equals 30 divided by 100, which can be simplified to 3 divided by 10, or 0.3. Multiplying Rs. 500 by 0.3 will give the required value. This is basic percentage multiplication.
Step-by-Step Solution:
Step 1: Convert 30 percent to decimal form: 30 percent = 30 / 100 = 0.3.Step 2: Multiply the amount by this decimal: 0.3 * 500.Step 3: Compute 0.3 * 500. This is equal to 3 * 50 = 150.Step 4: Therefore, 30 percent of Rs. 500 is Rs. 150.
Verification / Alternative check:
We can view 30 percent as three tenths. One tenth of Rs. 500 is Rs. 50. Three tenths would be 3 * Rs. 50 = Rs. 150. This alternative method confirms the result without needing decimal multiplication. Both procedures yield the same answer, reinforcing that 150 is correct.
Why Other Options Are Wrong:
Rs. 180 would be 36 percent of 500, not 30 percent. Rs. 120 is only 24 percent of 500. Rs. 240 corresponds to 48 percent of 500. Rs. 100 is just 20 percent of 500. None of these match 30 percent. Only Rs. 150 is exactly 30 percent of Rs. 500.
Common Pitfalls:
Errors usually come from incorrect conversion of the percentage to decimal form, such as using 30 instead of 0.3, or from simple multiplication mistakes. Another common issue is misreading the question and computing 500 percent of 30 instead of 30 percent of 500. Careful reading and correct placement of the percentage are essential.
Final Answer:
The value of 30 percent of Rs. 500 is Rs. 150, so the correct option is Rs. 150.
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