Test Index

TANCET 2023 Solved Papers

© examsnet.com

Question : 44 of 100

Marks: +1, -0

If

20 \%

\mathrm{x}=\mathrm{y}

\mathrm{y} \%

of 20 is the same as:

4% of x
5% of x
20% of x
None of the above

Solution:

Concept:

Convert percentages into fractions and substitute the given relation between

x

and

y

.

Explanation:

It is given that

20\%

of

x = y

.

Write

20\%

as

\frac{20}{100}

.

So,

y = \frac{20}{100}x = 0.2x

.

Now,

y\%

of

20

means

\frac{y}{100} \times 20

.

Simplify:

\frac{y}{100} \times 20 = \frac{20y}{100} = \frac{y}{5}

.

Substitute

y = 0.2x

into

\frac{y}{5}

.

We get

\frac{0.2x}{5} = 0.04x

.

Since

0.04 = \frac{4}{100} = 4\%

, the value is

4\%

of

x

.

Answer:

4\%

of

x

, i.e., Option A.

© examsnet.com

Go to Question:

Prev Question

Next Question