Question

What percent of:
A. $1$ day is $6$ hours ?
B. $80$ metres is $36$ metres ?
C. $66$ kg is $44$ kg ?
D. $240$ litres is $30$ litres ?

Answer 1

Hint: In the given question, we are required to compute the percentages in four different cases across different physical units and quantities. In such problems, we first convert all the given dimensions in the same unit for each part. Then, we calculate the percentage in each part by the standard formula.

Complete step by step solution:
In the given problem, we have to find out the percentages in each part.
(a) $1$ day is $6$ hours ?
$1$ day is equivalent to $24$hours.
Now, using the formula for percentage, Percentage $ = \dfrac{a}{b} \times 100\% $, we get,
So, percentage$ = \dfrac{6}{{24}} \times 100\% = \dfrac{{100}}{4}\% = 25\% $
Therefore, $6$ hours is $25\% $ of $1$ day.
(b) $80$ metres is $36$ metres ?
So, using the formula for percentage, Percentage $ = \dfrac{a}{b} \times 100\% $, we get,
Percentage$ = \dfrac{{36}}{{80}} \times 100\% = \dfrac{9}{{20}} \times 100\% = 45\% $
Therefore, $36$ metres is $45\% $ of $80$ metres.
(c) $66$ kg is $44$ kg ?
Since the units are the same.
So, using the formula for percentage, Percentage $ = \dfrac{a}{b} \times 100\% $, we get,
Percentage$ = \dfrac{{44}}{{66}} \times 100\% = \dfrac{4}{6} \times 100\% = 66.67\% $
Therefore, $44$ kg is $45\% $ of $66$ kg.
(d) $240$ litres is $30$ litres ?
Since the units are the same.
So, using the formula for percentage, Percentage $ = \dfrac{a}{b} \times 100\% $, we get,
Percentage$ = \dfrac{{30}}{{240}} \times 100\% = \dfrac{1}{8} \times 100\% = 12.5\% $
Therefore, $30$ litres is $12.5\% $ of $240$ litres.

Note: Knowledge about basics of fractions and percentages are essential for doing such questions. But all the units should be the same before finding out the percentages. Care should be taken while doing unit conversion and calculations related to percentage.