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Percentage Practice Test 8 with solutions

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Question : 6 of 38

Marks: +1, -0

If x is 80% of y, then what per cent of 2x is y?

$66\frac{2}{3}\%$
$62\frac{1}{2}\%$
62%
$62\frac{2}{3}\%$

Solution:

Concept:

Find the required percentage by comparing

y

with

2x

using the given relation.

Explanation:

Given,

x

is

80\%

of

y

, so

x = 0.8y = \frac{4}{5}y

.

Therefore,

2x = 2 \times \frac{4}{5}y = \frac{8}{5}y

.

Required percentage

= \frac{y}{2x} \times 100

.

Substitute

2x = \frac{8}{5}y

:

\frac{y}{(8/5)y} \times 100

.

This simplifies to

\frac{5}{8} \times 100 = 62.5\%

.

So,

62.5\% = 62\frac{1}{2}\%

.

Answer:

62\frac{1}{2}\%

(Option B)

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