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Percentages as Equivalent Fractions

In an examina...

Question

In an examination , 65% of the total examinees passed. If the number of failures is 420, the total number of examinees is

A

567

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B

693

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C

1000

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D

1200

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Solution

The correct option is D 1200
Failures = 35% of total examinees
Let the number of examinees be x. Then,
$\frac{35}{100} \times x = 420$

$x = \frac{420 \times 20}{7} = 1200$

Therefore, total number of examinees = 1200

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