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a man who owned 25% of the equity capital of a certain
company sold 1/2 of his holding last year and 5/12 of its
remaining this year. what part of the business does he own now

Answer Posted / mohd. anas khan

let his holding be =x.
holding remaining after he sells 1/2 last yr =x/2.
holding remaining after he sells 5/12 this yr =x/2 * 5/12.
=5x/24.
when he holds 'x' his % =25
when he holds '1' his % =25/x
when he holds '5x/24' his % =25/x * 5x/24
=125/24
~ 5%

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