Question

Find the value of the given expression.
12 is 0.2% of:
A. 2400
B. 600
C. 240
D. 6000

Answer 1

Hint:Consider the value as x. Rewrite the given expressions in terms of x and thus find the value of x by simplifying the expression.Remember percent means per 100.

Complete step-by-step answer:
Let us consider the value as x. We have been asked to find 12 is 0.2% of x.
Thus we can write it as 0.2% of x is 12.
\[\therefore 0.2%\] of x = 12.
Thus to get the value of \[x=\dfrac{12}{0.2%}\], cross multiply and simplify the expression.
We know that 0.2% can be expressed as \[\dfrac{0.2}{100}\],
i.e. we know 0.2 is\[{}^{2}/{}_{10}\].
Thus \[\dfrac{0.2}{100}=\dfrac{2}{100\times 10}=\dfrac{2}{1000}\]
\[\therefore x=\dfrac{12}{0.2%}\]
We can put the value of 0.2% as \[\dfrac{2}{1000}\].
\[\therefore x=\dfrac{12}{{}^{2}/{}_{1000}}=\dfrac{12\times 1000}{2}=6000.\]
Thus we got the value of x as 6000.
\[\therefore 0.2%\] of 6000 = 12.
Hence option D is the correct answer.

Note:When we say percent we are really saying “Per 100”, i.e. 1% means 1 per 100. As percent means “Per 100”, we need to divide by 100. Thus for example 75% means \[{}^{75}/{}_{100}\]. Similarly 0.2% means \[{}^{0.2}/{}_{100}\].