Answer
Verified
389.4k+ views
Hint: The part of the whole is the hundredth percentage. Take a common example if I share half of the pizza with you it is $50 - 50$ i.e. fifty percentage. To write the percentage as a decimal, simply divide it by $100$. For Example - $50\% \;{\text{becomes 0}}{\text{.5}}$. By logic fifty percentages is the half of hundred percentages. One percentage is one hundredth of the whole and therefore can be written as both in decimal and fraction.
Complete step by step solution –
Given that \[0.6\% \;{\text{of 45 = }}\dfrac{m}{{100}}\]
Now simplify the left hand side of the equation –
When we remove % sign, number is always divided by hundred
$\therefore \dfrac{{0.6 \times 45}}{{100}} = \dfrac{m}{{100}}$
Remove hundred from both the sides of the equation, as it cancels each other.
$
\therefore 0.6 \times 45 = m \\
\therefore m = 0.6 \times 45 \\
\therefore m = 27 \\
$
Therefore, the required solution is - when,\[0.6\% \;{\text{of 45 = }}\dfrac{m}{{100}}\], $m = 27$
Additional Information: Percentages are widely used in day to day operations such as in the form of discounts in shops, bank interest, rates of inflation, statistical media and almost everywhere. These types of questions are asked in some of the competitive examinations.
Note: Percentages can be written as the decimal and the fraction. For Example, $20\% \,{\text{becomes 0}}{\text{.2, 50% becomes 0}}{\text{.5 and so on}}...$
Complete step by step solution –
Given that \[0.6\% \;{\text{of 45 = }}\dfrac{m}{{100}}\]
Now simplify the left hand side of the equation –
When we remove % sign, number is always divided by hundred
$\therefore \dfrac{{0.6 \times 45}}{{100}} = \dfrac{m}{{100}}$
Remove hundred from both the sides of the equation, as it cancels each other.
$
\therefore 0.6 \times 45 = m \\
\therefore m = 0.6 \times 45 \\
\therefore m = 27 \\
$
Therefore, the required solution is - when,\[0.6\% \;{\text{of 45 = }}\dfrac{m}{{100}}\], $m = 27$
Additional Information: Percentages are widely used in day to day operations such as in the form of discounts in shops, bank interest, rates of inflation, statistical media and almost everywhere. These types of questions are asked in some of the competitive examinations.
Note: Percentages can be written as the decimal and the fraction. For Example, $20\% \,{\text{becomes 0}}{\text{.2, 50% becomes 0}}{\text{.5 and so on}}...$
Recently Updated Pages
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
Find the values of other five trigonometric functions class 10 maths CBSE
Trending doubts
How do you solve x2 11x + 28 0 using the quadratic class 10 maths CBSE
Which type of bond is stronger ionic or covalent class 12 chemistry CBSE
What organs are located on the left side of your body class 11 biology CBSE
Difference between Prokaryotic cell and Eukaryotic class 11 biology CBSE
Difference Between Plant Cell and Animal Cell
How fast is 60 miles per hour in kilometres per ho class 10 maths CBSE
Fill the blanks with the suitable prepositions 1 The class 9 english CBSE
The Equation xxx + 2 is Satisfied when x is Equal to Class 10 Maths
When people say No pun intended what does that mea class 8 english CBSE