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

Answer A

*

"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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