Question
A boy on being asked what $6/7$ of a certain fraction was, made the mistake of dividing the fraction by $6/7$ and so got an answer which exceeded the correct answer by $13/70$. Find the fraction–
Answer: Option C
Answer: (c) Let the fraction = x According to the question;$6/7$ of x = $x/{6/7} - 13/70$ = $\text"6x"/7 = \text"7x"/6 - 13/70$ = $\text"7x"/6 - \text"6x"/7 = 13/70$= $\text"49x - 36x"/42 = 13/70$ = $\text"13x"/42 = 13/70$x = ${13×42}/{70×13} = 3/5$
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Answer: (c) Let the fraction = x According to the question;$6/7$ of x = $x/{6/7} - 13/70$ = $\text"6x"/7 = \text"7x"/6 - 13/70$ = $\text"7x"/6 - \text"6x"/7 = 13/70$= $\text"49x - 36x"/42 = 13/70$ = $\text"13x"/42 = 13/70$x = ${13×42}/{70×13} = 3/5$
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