A boy was asked to multiply a given number by 817- Instead- he divided the given number by 817 and got the result 225 more than what he should have got if he multiplied the number by 817- The given number was -

The correct option is D 136 Let X be the given number X(817) X (817) = 225 17 X8 8 X17 = 225 289 X 64 X136 = 225 225 X = 225 × 136 ...

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Standard XII

Mathematics

Sum of n Terms

A boy was ask...

Question

A boy was asked to multiply a given number by $\frac{8}{17}$ . Instead, he divided the given number by $\frac{8}{17}$ and got the result $225$ more than what he should have got if he multiplied the number by $\frac{8}{17}$ . The given number was _____.

8

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17

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64

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136

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Solution

The correct option is D $136$
Let X be the given number
$\frac{X}{(\frac{8}{17})} - X (\frac{8}{17}) = 225$

$\frac{17 X}{8} - \frac{8 X}{17} = 225$

$\frac{289 X - 64 X}{136} = 225$

$225 X = 225 \times 136$

$X = 136$

Hence, the given number is $136.$

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A boy was asked to multiply a given number by 817. Instead, he divided the given number by 817 and got the result 225 more than what he should have got if he multiplied the number by 817. The given number was _____.

The correct option is D 136Let X be the given numberX(817)−X(817)=22517X8−8X17=225289X−64X136=225225X=225×136X=136Hence, the given number is 136.

A boy was asked to multiply a given number by $\frac{8}{17}$ . Instead, he divided the given number by $\frac{8}{17}$ and got the result $225$ more than what he should have got if he multiplied the number by $\frac{8}{17}$ . The given number was _____.

The correct option is D $136$
Let X be the given number
$\frac{X}{(\frac{8}{17})} - X (\frac{8}{17}) = 225$

$\frac{17 X}{8} - \frac{8 X}{17} = 225$

$\frac{289 X - 64 X}{136} = 225$

$225 X = 225 \times 136$

$X = 136$

Hence, the given number is $136.$