Unit conversion with percentages: 30 quintals is what percent of 2 metric tonnes?
Aptitude
Percentage
Difficulty: Easy
Choose an option
Answer
Correct Answer: 150%
Explanation
Introduction / Context:This question mixes unit conversion (quintal vs metric tonne) with percentage comparison. Correctly converting to the same unit before computing the percentage is vital.
Given Data / Assumptions:
- 1 quintal = 100 kg.
- 1 metric tonne = 1000 kg.
- We compare 30 quintals with 2 metric tonnes.
Concept / Approach:Convert both quantities to kilograms, compute the ratio (quantity/base), and then express as a percentage by multiplying by 100.
Step-by-Step Solution:
30 quintals = 30 * 100 kg = 3000 kg.2 metric tonnes = 2 * 1000 kg = 2000 kg.Percentage = (3000 / 2000) * 100% = 1.5 * 100% = 150%.Verification / Alternative check:Since 3000 kg is one and a half times 2000 kg, the percent must be 150%.
Why Other Options Are Wrong:
- 15% and 1.5% reverse or misplace the factor of 100.
- 30% misinterprets the “30” from 30 quintals and treats it as a direct percent.
- 75% corresponds to 3/4, not 3/2.
Common Pitfalls:Comparing with mismatched units or forgetting that percent is per hundred. Always reduce to the same unit first.
Final Answer:150%