A candidate in an examination was asked to find 5-14 of a certain number- By mistake he found 5-4 of it- Thus his answer was 25 more than the correct answer- What was the number-

The correct option is A 28 Let the number be x Then #160; x×5/4 x×5/14=25 ⇒35x 10x/28=25 #160; ⇒25x/28=25 ⇒ x=25× 28/25=28 #160; ...

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Standard VIII

Mathematics

Applications (Word Problem)

A candidate i...

Question

A candidate in an examination was asked to find $\frac{5}{14}$ of a certain number. By mistake he found $\frac{5}{4}$ of it. Thus his answer was 25 more than the correct answer. What was the number?

28

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Solution

The correct option is A $28$
Let the number be x
Then $x \times \frac{5}{4} - x \times \frac{5}{14} = 25$

$\Rightarrow \frac{35 x - 10 x}{28} = 25 \Rightarrow \frac{25 x}{28} = 25$

$\Rightarrow x = \frac{25 \times 28}{25} = 28$

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A candidate in an examination was asked to find 514 of a certain number. By mistake he found 54 of it. Thus his answer was 25 more than the correct answer. What was the number?

The correct option is A 28Let the number be x Then x×54−x×514=25⇒35x−10x28=25⇒25x28=25⇒x=25×2825=28

A candidate in an examination was asked to find $\frac{5}{14}$ of a certain number. By mistake he found $\frac{5}{4}$ of it. Thus his answer was 25 more than the correct answer. What was the number?

The correct option is A $28$
Let the number be x
Then $x \times \frac{5}{4} - x \times \frac{5}{14} = 25$

$\Rightarrow \frac{35 x - 10 x}{28} = 25 \Rightarrow \frac{25 x}{28} = 25$

$\Rightarrow x = \frac{25 \times 28}{25} = 28$