Question & Answer
QUESTION

Simplify the given equation:
$35\%$ of 580 + $ 28\%$ of 250 + $32\%$ of 450.

ANSWER Verified Verified
Hint: If the percentage of any given number is given as $x\% $ of y then it can be expressed as $\dfrac{x}{{100}} \times y$
Use this property to get the answer.

Complete step-by-step answer:

Given equation is $35\%$ of 580 + $28\%$ of 250 + $32\%$ of 450.

We that the above equation can be expressed as
\[ \Rightarrow \dfrac{{35}}{{100}} \times 580 + \dfrac{{28}}{{100}} \times 250 + \dfrac{{32}}{{100}} \times 450\]

Now, simplifying the above equation
 $
   \Rightarrow 3.5 \times 58 + 2.8 \times 25 + 3.2 \times 45 \\
   \Rightarrow 203 + 70 + 144 \\
   \Rightarrow 417 \\
$

Hence, the answer of the given term is 417.

Note: In order to solve these types of questions, we need to know the definition of percentage and know some basic operations like addition, subtraction, multiplication and division. Percentage can be defined as the relative value indicating hundredth parts of any quantity. One percent (symbolized 1 $\% $ ) is a hundredth part; thus, 100 percent represents the entirety and 200 percent specifies twice the given quantity.