Question

How much percent is \[2{\text{ }}hrs{\text{ }}12{\text{ }}mins{\text{ }}36{\text{ }}secs\] of\[4{\text{ }}hrs{\text{ }}25{\text{ }}mins{\text{ }}12{\text{ }}secs\]?
A) \[52\% \]
B) \[50\% \]
C) \[54\% \]
D) \[55\% \]

Answer 1

Hint: To solve this question, we will start with converting the values to same unit and then we will take the percentage by multiplying the ratio by \[100.\]

Complete step-by-step answer:
We have been given two values \[2{\text{ }}hrs{\text{ }}12{\text{ }}mins{\text{ }}36{\text{ }}secs\] and \[4{\text{ }}hrs{\text{ }}25{\text{ }}mins{\text{ }}12{\text{ }}secs\], we need to find the percentage.
So, for that we are required to make all the values in same unit.
We know that, \[1{\text{ }}minute{\text{ }} = {\text{ }}60{\text{ }}seconds\]
And, \[1{\text{ }}hour{\text{ }} = {\text{ }}60{\text{ minu}}tes{\text{ }} = {\text{ }}60 \times 60{\text{ }}seconds{\text{ }} = {\text{ }}3600{\text{ }}seconds\]
So, \[2{\text{ }}hrs{\text{ }}12{\text{ }}mins{\text{ }}36{\text{ }}secs{\text{ }} = {\text{ }}(2 \times 3600{\text{ }} + {\text{ }}12 \times 60{\text{ }} + {\text{ }}36){\text{ }}seconds\]
\[ = {\text{ }}7956{\text{ }}seconds\]
And, \[4{\text{ }}hrs{\text{ }}25{\text{ }}mins{\text{ }}12{\text{ }}secs{\text{ }} = {\text{ }}(4 \times 3600{\text{ }} + {\text{ }}25 \times 60{\text{ }} + {\text{ }}12){\text{ }}seconds\]
\[ = {\text{ }}15912{\text{ }}seconds\]
 $ = \dfrac{{7956}}{{15912}} \times 100 $
\[ = {\text{ }}50\% \]
Thus, \[2{\text{ }}hrs{\text{ }}12{\text{ }}mins{\text{ }}36{\text{ }}secs\] is \[50\% \] of \[4{\text{ }}hrs{\text{ }}25{\text{ }}mins{\text{ }}12{\text{ }}secs.\]
So, the correct answer is “Option B”.

Note: Students should carefully convert all the values to the same unit. Because, it is necessary in the case of ratio and when we take percentage, the values should be in the same unit.