What percent of ₹ $2650$ is ₹ $1987.50$?

### Concept & Formula This is a direct percentage evaluation problem. We need to express one part of a monetary value as a percentage of the total monetary value. $$ \text{Percentage} = \left( \frac{\text{Given Amount}}{\text{Total Amount}} \right) \times 100 $$ ### Step-by-Step Solution * **Given:** * Total Amount = ₹ $2650$ * Given Amount = ₹ $1987.50$ * **Calculation:** * Set up the fraction: * $\text{Percentage} = \left( \frac{1987.50}{2650} \right) \times 100$ * Multiply by $100$ to remove the decimal in the numerator: * $\text{Percentage} = \frac{198750}{2650}$ * Cancel out the trailing zero: * $\text{Percentage} = \frac{19875}{265}$ * Divide $19875$ by $265$: * $265 \times 70 = 18550$ * $19875 - 18550 = 1325$ * $265 \times 5 = 1325$ * Therefore, $19875 \div 265 = 75\%$ ### Exam Strategy & Shortcut Avoid long division by building the percentage up using known benchmarks: $100\% = 2650$ $50\% = 1325$ (half of $2650$) $25\% = 662.50$ (half of $1325$) Add the $50\%$ block and the $25\%$ block together: $1325 + 662.50 = 1987.50$. Since these combine exactly to the target number, the answer is $50\% + 25\% = 75\%$. ### Common Pitfall Students often waste time trying to simplify the large fraction step-by-step by dividing by $5$ repeatedly. Using percentage building blocks (like $50\%$ and $25\%$) is much faster for numbers ending in $25, 50,$ or $75$. ### Final Answer **Therefore, the correct answer is 75%.**