Question

80% of a non-leap year =_____days.
(a) 288
(b) 256
(c) 292
(d) 270

Answer 1

Hint: Any year which has 366 days is called a leap year. Non-leap year contains 365 days. We have to find 80% of 365 days. We will write this mathematically as $80%\times 365$ . Then, we have to convert 80% into its number form by dividing 80 by 100 and simplify.

Complete step by step answer:
We have to find 80% of a non-leap year. Let us understand what leap years and non-leap years are. Any year which has 366 days is called a leap year. During a leap year, one day will be added to the month of February making the total number of days in this month as 29. We can call all the other years as non-leap years.
We know that non-leap years contain 365 days. We have to find 80% of 365 days. We can write this mathematically as
$\Rightarrow 80\%\times 365$
We have to convert 80% into its number form by dividing 80 by 100.
$\Rightarrow 80\%\times 365=\dfrac{80}{100}\times 365$
We have to cancel the zeroes from the numerator and denominator.
$\Rightarrow 80\%\times 365=\dfrac{8\require{cancel}\cancel{0}}{10\require{cancel}\cancel{0}}\times 365$
We can write the result of the above simplification as
$\Rightarrow 80\%\times 365=\dfrac{8}{10}\times 365$
Let us cancel the common factor 2 from the numerator and the denominator.
$\Rightarrow 80\%\times 365=\dfrac{{{\require{cancel}\cancel{8}}^{4}}}{{{\require{cancel}\cancel{10}}^{5}}}\times 365$
We can write the result of the above simplification as
$\Rightarrow 80\%\times 365=\dfrac{4}{5}\times 365$
Let us cancel the common factor 5 from 365 and the denominator.
$\begin{align}
  & \Rightarrow 80\%\times 365=4\times 73 \\
 & \Rightarrow 80\%\times 365=292 \\
\end{align}$

So, the correct answer is “Option c”.

Note: Students should not get confused with eap year and non-leap year. To find whether a year is leap year or not, we have to divide that year by 4. If the year is completely divisible by 4, then that year will be a leap year. For example, let us check whether 2016 is a leap year or not.
 $\dfrac{2016}{4}=56$
Hence, 2016 is a leap year.
Students must know to convert a percentage into its number form and vise-versa.