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Q.

If 16% of 40% of a number is 8, then the number is:

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a

200

b

225

c

125

d

None of these

answer is C.

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Detailed Solution

Concept: Using the formula x percent of

y = \frac{x}{100} y

, we will first assume the value is x and then convert the percentages to a fraction and equate them to 8. In order to determine the value of x, we shall solve the resulting equation.
We are informed that 8 equals 16 of any integer divided by 40 percent.
We must determine the number's value.
Let x be the number.
To convert the percentage into a fraction, use the formula x% of y =

\frac{x}{100}

y.
We are initially told that a number x is 16 percent of 40 percent, so we will first determine what 40 percent of x is.
As a result, we may express the percentage as follows:

40 % of x = \frac{40}{100} where x = \frac{4 x}{10}

Now, the expression for 16 percent of 40 percent of x is:

16 percent of 40 percent of x = \frac{16}{100} \times \frac{4 x}{10}

16 percent of 40 percent of x is stated as 8 in the question. Adding the value and further simplification yields

8 = \frac{16}{100} \times \frac{4 x}{10}

8 = \frac{64 x}{1000}

x = \frac{8000}{64} = 125 .

Hence, the correct option is

3

ExamType: CBSE

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