In an examination a student was asked to find 314th of a certain number- By mistake- he found 34 of it- His answer was 150 more than the correct answer- The number given him is-

The correct option is B 280 Let the required number be x. #160;So, as per the question, we have 3x/4 3x/14 = 150 ⇒21x 6x/28 = ...

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Standard VII

Mathematics

Division of Decimals

In an examina...

Question

In an examination a student was asked to find $\frac{3}{14}$ th of a certain number. By mistake, he found $\frac{3}{4}$ of it. His answer was $150$ more than the correct answer. The number given him is:

290

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280

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240

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180

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Solution

The correct option is B $280$
Let the required number be $x .$
So, as per the question, we have
$\frac{3 x}{4} - \frac{3 x}{14} = 150$
$\Rightarrow \frac{21 x - 6 x}{28} = 150$
$\Rightarrow x = \frac{150 \times 28}{15} = 280$
Thus, the given number is $280$ .

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In an examination a student was asked to find 314th of a certain number. By mistake, he found 34 of it. His answer was 150 more than the correct answer. The number given him is:

The correct option is B 280Let the required number be x. So, as per the question, we have3x4−3x14=150⇒21x−6x28=150⇒x=150×2815=280Thus, the given number is 280.

In an examination a student was asked to find $\frac{3}{14}$ th of a certain number. By mistake, he found $\frac{3}{4}$ of it. His answer was $150$ more than the correct answer. The number given him is:

The correct option is B $280$
Let the required number be $x .$
So, as per the question, we have
$\frac{3 x}{4} - \frac{3 x}{14} = 150$
$\Rightarrow \frac{21 x - 6 x}{28} = 150$
$\Rightarrow x = \frac{150 \times 28}{15} = 280$
Thus, the given number is $280$ .