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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-

(1) 2/3 (2) 3/5 (3) 4/5 (4) 7/9

Solution:

Let the fraction = x

According to the question :

6/7 of x = x/6/7 – 13/70

⇒ 6x/7 = 7x/6-13/70

⇒7x/6-6x/7 = 13/70

⇒49x-36x/42 = 13/70

⇒13x/42 = 13/70

:. x= 13*42/70*13= 3/5

Then the option is (2) 3/5

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