What percent of:
(a) 25 is 5?
(b) Rs. 75 is Rs. 150?
Answer (2)
5 is 20% of 25, and Rs. 150 is 200% of Rs. 75.
;
To find what percent of 25 is 5, we calculate 25 5 × 100 .
The result of the calculation is 20, so 5 is 20% of 25.
To find what percent of Rs. 75 is Rs. 150, we calculate 75 150 × 100 .
The result of the calculation is 200, so Rs. 150 is 200% of Rs. 75. Therefore, the final answers are 20% and 200% .
Explanation
Understanding the Problem We are asked to find what percentage one number is of another in two separate cases. In the first case, we want to know what percent of 25 is 5. In the second case, we want to know what percent of Rs. 75 is Rs. 150.
Solving for (a) (a) To find what percent of 25 is 5, we can set up the equation: 100 x × 25 = 5 where x is the percentage we are looking for. To solve for x , we can multiply both sides of the equation by 100 and then divide by 25: x = 25 5 × 100 = 25 500 = 20 So, 5 is 20% of 25.
Solving for (c) (c) To find what percent of Rs. 75 is Rs. 150, we can set up the equation: 100 y × 75 = 150 where y is the percentage we are looking for. To solve for y , we can multiply both sides of the equation by 100 and then divide by 75: y = 75 150 × 100 = 75 15000 = 200 So, Rs. 150 is 200% of Rs. 75.
Final Answer Therefore, the answers are: (a) 20% (c) 200%
Examples
Understanding percentages is crucial in everyday life. For instance, when shopping, discounts are often expressed as percentages. If a shirt originally costs $25 and is 20% off, you can calculate the discount amount as (20/100) * $25 = $5. So, you would save $5 on the shirt. Similarly, understanding percentage increases is important in finance. If you invest $75 and it grows to $150, your investment has increased by 200%, meaning it has doubled.
