Question

A man travelled $ 60 $ km by car and $ 240 $ km by train. Find what percent of the total journey he travels by car and what percent by train.

Answer 1

Hint: First of all we will find the total distance travelled and then taking the total distance as hundred percent will accordingly find the percentage for travelling by car and train. The total percentage is always based on hundred.

Complete step-by-step answer:
The total distance travelled by man can be calculated by adding the distance travelled by car and the distance travelled by the train.
Total distance $ = 60 + 240 $
Simplify the above expression finding the sum of the terms –
Total Distance $ = 300 $ Km
Now, the percentage travel by car can be calculated by -
Now, if $ 300 $ km $ = 100\% $
Then $ 60 $ km $ = ? $
Perform cross multiplication in the above data –
 $ = \dfrac{{60 \times 100}}{{300}} $
Find the factors of the term in the above expression –
 $ = \dfrac{{20 \times 3 \times 100}}{{3 \times 100}} $
Common factors from the numerator and the denominator cancel each other.
 $ = 20\% $
Percentage travelled by car is $ 20\% $ …. (A)
Now, the percentage travel by train can be calculated by -
Now, if $ 300 $ km $ = 100\% $
Then $ 240 $ km $ = ? $
Perform cross multiplication in the above data –
 $ = \dfrac{{240 \times 100}}{{300}} $
Find the factors of the term in the above expression –
 $ = \dfrac{{80 \times 3 \times 100}}{{3 \times 100}} $
Common factors from the numerator and the denominator cancel each other.
 $ = 80\% $
Percentage travelled by train is $ 80\% $ …. (A)
Equation (A) and (B) are the required solution.

Note: Be careful while simplifying the expression, always first remove common factors and then only multiple the remaining factors for the required answer. Don’t get confused with the term fraction and the percentage. Always remember the total sum of the percentage should come to hundred, the percentage of distance traveled by car and the train.