India has a total land area of 3.287 million square kilometres. If 25 % is desert and 15 % is forest, what is the remaining area that is neither desert nor forest? Express the answer in square kilometres and as a percentage of India’s total area.

Step-by-step solution

1. Find percentage of land that is desert or forest: $25$.
2. Convert 40 % of total area to km²: $0.40\times 3,287,000=1,314,800{\text{ km}}^2$.
3. Subtract this from total area: $3,287,000-1,314,800=1,972,200{\text{ km}}^2$.
4. Calculate remaining percentage: $100$.
5. Why: Complement of percentages gives the remaining area and proportion.

Concept tested: Area partition and complement

Published 16 October 2026 · How this solution was prepared and checked