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Mr. John bought a total of n shares of stock X and Mrs. John bought m
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07 Nov 2023, 10:41
07 Nov 2023, 10:41
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Mr. John bought a total of n shares of stock X and Mrs. John bought m shares of stock X. The couple held all of their respective shares throughout 2005. If Mr. John’s dividends on his n shares totaled $150 and Mrs. John’s dividends on her m shares totaled $ 4,500/n, how many shares did Mrs. John buy in 2005?
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30
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Re: Mr. John bought a total of n shares of stock X and Mrs. John bought m
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15 Nov 2023, 16:46
15 Nov 2023, 16:46
1
Mr. John dividend on his n shares = 150$
so Mr. John dividend per share = 150/n
now Mr. John dividend on m shares = 150m/n
and this dividend value of 150m/n will be the same as the dividend earned by Mrs. John as they bought the shares of the same stock and in this case the same amount i.e. m shares
thus -> 150m/n = 4500/n --> multiply both sides by n --> 150m=4500 --> m =30 answer
so Mr. John dividend per share = 150/n
now Mr. John dividend on m shares = 150m/n
and this dividend value of 150m/n will be the same as the dividend earned by Mrs. John as they bought the shares of the same stock and in this case the same amount i.e. m shares
thus -> 150m/n = 4500/n --> multiply both sides by n --> 150m=4500 --> m =30 answer
gmatclubot
Re: Mr. John bought a total of n shares of stock X and Mrs. John bought m [#permalink]
15 Nov 2023, 16:46
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