Answer
Verified
422.1k+ views
Hint: Assume the required number to be an unknown quantity x. Now, formulate an equation on the basis of the given condition. Then solve for the unknown quantity from the obtained equation.
Complete step-by-step answer:
Let us assume the number whose 40 percent is 32 to be x.
Then on the basis of the given condition, we obtain the equation as,
$\dfrac{40}{100}\cdot x\text{ = 32 }....\text{(i)}$
Hence, we solve the equation (i) and get the required solution.
$\begin{align}
& \dfrac{40}{100}\cdot x\text{ = 32} \\
& \Rightarrow \text{ }x\text{ = 32 x }\dfrac{100}{40} \\
& \therefore \text{ }x\text{ = }\dfrac{32\text{ x 10}}{4}\text{ = 8 x 10} \\
& \text{ = 80} \\
\end{align}$
Hence, we obtain the value of the unknown quantity to be 80.
Thus, 32 is 40 percent of the number 80. So, the correct answer is option C.
Note: One has to keep in mind the question is asking 32 is 40 percent of which number. A common mistake is to think that we are being asked to find the 40 percent of 32. In that case, the answer will be,
$\dfrac{40}{100}\text{ x 32 = 4 x 3}\text{.2 = 12}\text{.8 }$
Now, 12.8 is also an option in the given question. So, there is a chance that one thinks to get the right answer even if it is actually wrong. Thus, the correct answer is option C, not option A.
Complete step-by-step answer:
Let us assume the number whose 40 percent is 32 to be x.
Then on the basis of the given condition, we obtain the equation as,
$\dfrac{40}{100}\cdot x\text{ = 32 }....\text{(i)}$
Hence, we solve the equation (i) and get the required solution.
$\begin{align}
& \dfrac{40}{100}\cdot x\text{ = 32} \\
& \Rightarrow \text{ }x\text{ = 32 x }\dfrac{100}{40} \\
& \therefore \text{ }x\text{ = }\dfrac{32\text{ x 10}}{4}\text{ = 8 x 10} \\
& \text{ = 80} \\
\end{align}$
Hence, we obtain the value of the unknown quantity to be 80.
Thus, 32 is 40 percent of the number 80. So, the correct answer is option C.
Note: One has to keep in mind the question is asking 32 is 40 percent of which number. A common mistake is to think that we are being asked to find the 40 percent of 32. In that case, the answer will be,
$\dfrac{40}{100}\text{ x 32 = 4 x 3}\text{.2 = 12}\text{.8 }$
Now, 12.8 is also an option in the given question. So, there is a chance that one thinks to get the right answer even if it is actually wrong. Thus, the correct answer is option C, not option A.
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
Difference between Prokaryotic cell and Eukaryotic class 11 biology CBSE
Difference Between Plant Cell and Animal Cell
Fill the blanks with the suitable prepositions 1 The class 9 english CBSE
Change the following sentences into negative and interrogative class 10 english CBSE
Give 10 examples for herbs , shrubs , climbers , creepers
What organs are located on the left side of your body class 11 biology CBSE
Write an application to the principal requesting five class 10 english CBSE
What is the type of food and mode of feeding of the class 11 biology CBSE
Name 10 Living and Non living things class 9 biology CBSE