Question

Find the value of
I. $ 75\% $ of $ 500 $
II. $ 40\% $ of $ 650 $

Answer 1

Hint: The problem deals with the percentage of anything. It can be expressed as $ x\% $ of $ 100 $ means $ \dfrac{x}{{100}} \times 100 = x $

Complete step-by-step answer:
In mathematics, a percentage is a number or ratio that represents a fraction of 100. It is often denoted by the symbol "%" or simply as "percent" or "pct." For example, 35% is equivalent to the decimal 0.35, or the fraction 35/100.

Therefore,
i. $ 75\% $ of $ 500 $
$\Rightarrow 75\% $ can be written as $ \dfrac{{75}}{{100}} $
Therefore, $ \dfrac{{75}}{{100}} \times 500 = 75 \times 5 = 375 $

ii. $ 40\% $ of $ 650 $
$\Rightarrow 40\% $ can be written as $ \dfrac{{40}}{{100}} $
Therefore, $ \dfrac{{40}}{{100}} \times 650 = 4 \times 65 = 260 $

Hence, i) $ 75\% $ of $ 500 = 375 $ and ii) $ 40\% $ of $ 650 = 260 $

Note: The basics and knowledge of percentage is important in solving the problems dealing with percentage. In mathematics the percentage is a number or the ratio that is represented as a fraction of 100. For instance,
 $ a\% $ can be written in the fraction form as $ \dfrac{a}{{100}} $ .In the same way , $ 35\% $ can be written as $ \dfrac{{35}}{{100}} $ .
The value of $ 100\% $ of a quantity is 1 means it represents an entire quantity and the value of $ 50\% $ is $ \dfrac{1}{2} $ or it represents half the quantity.