SSC CGL 24 Aug 2021 Shift 3 Paper

Question : 72 of 100

Marks: +1, -0

By mistake, the reciprocal of a positive fraction got typed in place of itself, and thereby its value got reduced by

\;{175}/{4} \%

. What was the value of the fraction?

Solution:

Let the fraction be

x

.
According to the question,

⇒ \;\; (x-\;{1}/{x})=\;{175}/{4} \%

x

⇒ \;\; (x-\;{1}/{x})=\;{175}/{4 × 100} × x

⇒ \;\; (x-\;{1}/{x})=\;{7}/{16} x

⇒ \;\; 16 x-\;{16}/{x}=7 x

⇒ \;\; 16 x-7 x=\;{16}/{x}

⇒ \;\; 9 x=\;{16}/{x}

⇒ \;\; 9 x^{2}=16

⇒ \;\; x^{2}=\;{16}/{9} ⇒ x=√{\;{16}/{9}}

x=\;{4}/{3}=

Original fraction

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