Unit conversion with percentages: 30 quintals is what percent of 2 metric tonnes?

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:

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%