Question

\[860\% \] of $ 50 + 50\% $ of $ 860 = ? $
A. 430
B. 516
C. 860
D. 960

Answer 1

Hint: This problem deals with calculating the percentages from the given data or information. In mathematics, a percentage is a number or a ratio that represents a fraction of 100. It is a dimensionless number. It is a pure number. It has no unit of measurement. One percent is one hundredth of a whole. It can be written as both decimal and a fraction.

Complete step-by-step answer:
Given an expression of two terms \[860\% \] of $ 50 $ and $ 50\% $ of $ 860 $ .
We have to obtain the sum of these two expressions a s given above.
The sum of \[860\% \] of $ 50 + 50\% $ of $ 860 $ .
First consider the first term which is \[860\% \] of $ 50 $ , solving this expression as given below:
The expression \[860\% \] of \[50\] is mathematically expressed as :
 $ \Rightarrow \;860\% \times \left( {50} \right) = \dfrac{{860}}{{100}} \times 50 $
 $ \Rightarrow \;\dfrac{{860}}{{100}} \times 50 = 8.6 \times 50 $
 $ \Rightarrow \;8.6 \times 50 = 430 $
Hence the value of the expression \[860\% \] of $ 50 $ is 430.
 $ \therefore 860\% $ of $ 50 = 430 $
Now consider the second the term, which is $ 50\% $ of $ 860 $ , solving this expression as given below:
The expression $ 50\% $ of $ 860 $ is mathematically expressed as :
 $ \Rightarrow 50\% \times 860 = \dfrac{{50}}{{100}} \times 860 $
 $ \Rightarrow \dfrac{{50}}{{100}} \times 860 = 0.5 \times 860 $
 $ \Rightarrow 0.5 \times 860 = 430 $
Hence the value of the expression $ 50\% $ of $ 860 $ is 430.
 $ \therefore 50\% $ of $ 860 = 430 $
Now adding the both simplified and obtained terms as given below:
 $ \Rightarrow \;860\% \times 50 + 50\% \times 860 $
 $ \Rightarrow 430 + 430 = 860 $
 $ \therefore 860\% \times 50 + 50\% \times 860 = 860 $

Final Answer: The value of the expression \[860\% \] of $ 50 + 50\% $ of $ 860 $ is $ 860. $

Note:
Here while solving the whole problem we should understand that whenever we are given a percentage of any number, then we just divide the number by 100. Even when the given percentage is more than 100, we just divide the number by 100. Here given $ x\% $ , then the value of the given expression is given by : $ x\% = \dfrac{x}{{100}} $ .