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# Three friends, Edward, Mark, and John invested money in a company

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Joined: 28 May 2014
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Three friends, Edward, Mark, and John invested money in a company  [#permalink]

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03 Oct 2017, 07:18
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Difficulty:

35% (medium)

Question Stats:

62% (01:13) correct 38% (01:20) wrong based on 45 sessions

Three friends, Edward, Mark, and John invested money in a company. When they divided the first quarter's profit, Edward received 10% more money that Mark and 120% more than John. If Mark received $2000 profit, how much did John get? (a) 1000 (b) 1500 (c) 1833 (d) 2200 (e) 2222 _________________ GMAT Club Legend Joined: 16 Oct 2010 Posts: 8132 Location: Pune, India Re: Three friends, Edward, Mark, and John invested money in a company [#permalink] ### Show Tags 03 Oct 2017, 08:51 1 saswata4s wrote: Three friends, Edward, Mark, and John invested money in a company. When they divided the first quarter's profit, Edward received 10% more money that Mark and 120% more than John. If Mark received$2000 profit, how much did John get?

(a) 1000
(b) 1500
(c) 1833
(d) 2200
(e) 2222

Edward received 10% more than Mark so he received 2000 + 200 = 2200
Edward received 120% more than John so 2200 is 120% more than J

J + (120/100)*J = 2200
J = 2200*5/11 = 1000

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Three friends, Edward, Mark, and John invested money in a company  [#permalink]

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03 Oct 2017, 11:26
saswata4s wrote:
Three friends, Edward, Mark, and John invested money in a company. When they divided the first quarter's profit, Edward received 10% more money that Mark and 120% more than John. If Mark received $2000 profit, how much did John get? (a) 1000 (b) 1500 (c) 1833 (d) 2200 (e) 2222 These numbers work well with multipliers. Given Mark's amount, find Edward's amount, then John's. 1) Mark --> Edward Edward gets 10% more than Mark 10% more than M is 1M + .10M = 1.10M E = 1.10 M Mark gets$2000. Edward's amount?

E = 1.10M = (1.1)(2000) = 2200

Edward gets $2200. John's amount? 2) Edward --> John Edward gets 120% more than John 120% more than J is* 1J + 1.20J = 2.20J E = 2.2J, and E gets$2200, so J is

2200 = 2.2J

J = $$\frac{2200}{2.2}$$ = $1000 John gets$1000

*"Percent more than" says,"All of X, plus some percent more than X." That is, percent more than always includes 100% of the original X. In decimal form 100% = 1

You can just add 1 to the multiplier for "percent greater than."

100% more than = 1X + 1X = X(1 + 1) = 2X
250% more than =
2.5X + 1X = X(2.5+1) = 3.5X

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Re: Three friends, Edward, Mark, and John invested money in a company  [#permalink]

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05 Oct 2017, 10:19
saswata4s wrote:
Three friends, Edward, Mark, and John invested money in a company. When they divided the first quarter's profit, Edward received 10% more money that Mark and 120% more than John. If Mark received $2000 profit, how much did John get? (a) 1000 (b) 1500 (c) 1833 (d) 2200 (e) 2222 We can create the following equations: e = 1.1m and e = 2.2j Since Mark received$2,000:

e = 1.1(2,000) = 2,200

and

2,200 = 2.2j

j = 2,200/2.2 = 22,000/22 = 1,000

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Re: Three friends, Edward, Mark, and John invested money in a company &nbs [#permalink] 05 Oct 2017, 10:19
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