Answer
Verified
423.3k+ views
Hint: The $%$ symbol as a quick way to write a fraction with a denominator of 100. As an example, instead of saying it rained 20 days out of every 100, you say it rained $20%$ of the time.
Complete step-by-step answer:
One percent is one hundredth of a whole. It can therefore be written as both a decimal and a fraction. To write a percentage as a decimal, simply divide it by 100. For example, 70% becomes 0.7, 30% becomes 0.3, 1% becomes 0.01 and so on.
Percentages are used widely and in many different areas. For example, discounts in shops, bank interest rates, rates of inflation and many statistics in the media are expressed as percentages.
In this question, 3% is a part of 100%. So you will write it as $\dfrac{3}{100}$.
In the same way 5% will be written as $\dfrac{5}{100}$.
The question, what is x percent of y. We will multiply $\dfrac{a}{b}$ by 100.
In the same way we have to divide $\dfrac{3}{100}$by$\dfrac{5}{100}$.
$\dfrac{\dfrac{3}{100}}{\dfrac{5}{100}}=\dfrac{3}{100}\times \dfrac{100}{5}=\dfrac{3}{5}$
Now we will have to multiply $\dfrac{3}{5}$ by 100.
$\dfrac{3}{5}\times 100=60%$
Therefore, the correct option of the given question is option (D).
Note: There is a missing comma in the question which is creating all the confusion.
What percent, is 3% of 5%?
3% of 5% is $\dfrac{3}{100}\times \dfrac{5}{100}=\dfrac{15}{10000}=0.15%$
So, the answer in this case would be 0.15.
What percent is 3% of 5%?
$\dfrac{3%}{5%}\times 100=\dfrac{\dfrac{3}{100}}{\dfrac{5}{100}}\times 100=\dfrac{3}{5}\times 100=60%$
So, the answer in this case would be 60%.
Complete step-by-step answer:
One percent is one hundredth of a whole. It can therefore be written as both a decimal and a fraction. To write a percentage as a decimal, simply divide it by 100. For example, 70% becomes 0.7, 30% becomes 0.3, 1% becomes 0.01 and so on.
Percentages are used widely and in many different areas. For example, discounts in shops, bank interest rates, rates of inflation and many statistics in the media are expressed as percentages.
In this question, 3% is a part of 100%. So you will write it as $\dfrac{3}{100}$.
In the same way 5% will be written as $\dfrac{5}{100}$.
The question, what is x percent of y. We will multiply $\dfrac{a}{b}$ by 100.
In the same way we have to divide $\dfrac{3}{100}$by$\dfrac{5}{100}$.
$\dfrac{\dfrac{3}{100}}{\dfrac{5}{100}}=\dfrac{3}{100}\times \dfrac{100}{5}=\dfrac{3}{5}$
Now we will have to multiply $\dfrac{3}{5}$ by 100.
$\dfrac{3}{5}\times 100=60%$
Therefore, the correct option of the given question is option (D).
Note: There is a missing comma in the question which is creating all the confusion.
What percent, is 3% of 5%?
3% of 5% is $\dfrac{3}{100}\times \dfrac{5}{100}=\dfrac{15}{10000}=0.15%$
So, the answer in this case would be 0.15.
What percent is 3% of 5%?
$\dfrac{3%}{5%}\times 100=\dfrac{\dfrac{3}{100}}{\dfrac{5}{100}}\times 100=\dfrac{3}{5}\times 100=60%$
So, the answer in this case would be 60%.
Recently Updated Pages
Three beakers labelled as A B and C each containing 25 mL of water were taken A small amount of NaOH anhydrous CuSO4 and NaCl were added to the beakers A B and C respectively It was observed that there was an increase in the temperature of the solutions contained in beakers A and B whereas in case of beaker C the temperature of the solution falls Which one of the following statements isarecorrect i In beakers A and B exothermic process has occurred ii In beakers A and B endothermic process has occurred iii In beaker C exothermic process has occurred iv In beaker C endothermic process has occurred
The branch of science which deals with nature and natural class 10 physics CBSE
The Equation xxx + 2 is Satisfied when x is Equal to Class 10 Maths
Define absolute refractive index of a medium
Find out what do the algal bloom and redtides sign class 10 biology CBSE
Prove that the function fleft x right xn is continuous class 12 maths CBSE
Trending doubts
Difference Between Plant Cell and Animal Cell
Difference between Prokaryotic cell and Eukaryotic class 11 biology CBSE
Draw a diagram showing the external features of fish class 11 biology CBSE
Fill the blanks with the suitable prepositions 1 The class 9 english CBSE
Give 10 examples for herbs , shrubs , climbers , creepers
Fill the blanks with proper collective nouns 1 A of class 10 english CBSE
Change the following sentences into negative and interrogative class 10 english CBSE
Select the word that is correctly spelled a Twelveth class 10 english CBSE
How fast is 60 miles per hour in kilometres per ho class 10 maths CBSE