Difficulty: Easy
Correct Answer: 21000
Explanation:
Introduction / Context:
This is a simple but very practical percentage question involving a relatively large amount of money. It reflects common real life calculations such as computing tax, commissions, or discounts expressed as a percentage of a large value.
Given Data / Assumptions:
Concept / Approach:
To find p percent of an amount N, use p percent of N = (p / 100) * N. For p = 6 and N = 3,50,000, we compute (6 / 100) * 3,50,000. It is often convenient to first find 1 percent of the amount and then multiply appropriately, especially for small percentages like 6 percent.
Step-by-Step Solution:
Step 1: Express 6 percent as a fraction: 6 percent = 6 / 100.
Step 2: Compute 1 percent of 3,50,000. Since 1 percent is 1 / 100, 1 percent of 3,50,000 is 3,500.
Step 3: Multiply this by 6 to get 6 percent: 3,500 * 6 = 21,000.
Step 4: Therefore, 6 percent of 3,50,000 equals 21,000.
Verification / Alternative check:
Using the direct formula confirms the same result: (6 / 100) * 3,50,000 = 0.06 * 3,50,000. Multiplying 3,50,000 by 0.06 gives 21,000, which matches the stepwise calculation using 1 percent.
Why Other Options Are Wrong:
Common Pitfalls:
A frequent error is mishandling the zeros when multiplying large numbers by decimals. Another issue arises when learners confuse 6 percent with 0.6 or 0.06. Remember that 6 percent means 6 / 100, which equals 0.06, not 0.6. Explicitly writing the fraction before multiplying can help avoid mistakes.
Final Answer:
6 percent of Rs. 3,50,000 is 21,000.
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