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# An electronics salesman earned a x% commission on each of

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Re: An electronics salesman earned a x% commission on each of [#permalink]
Any other interesting approaches to this type of questions? How could one do it with assumed numbers?
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Re: An electronics salesman earned a x% commission on each of [#permalink]
Here is my approach
March: commission m*p*(x/100)
April: commission (m+q)*p*(y/100). To find the difference April - March = (m+q)*p*(y/100) - m*p*(x/100) ==>factor out (p/100) ==> (p/100)*((m+q)y-xm). The answer is E
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Re: An electronics salesman earned a x% commission on each of [#permalink]
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Hi Blackbox,

This question can absolutely be solved by TESTing VALUES. Here's how:

You can see from the answer choices that there are 5 variables, so you want to keep your values relatively simple. Before I TEST any values though, I'm going to take some quick notes on what the prompt tells us:

March:
X% commission on M players @ \$P/player

April:
Y% commission on (M+Q) players @\$P/player

We're told that Y > X and it's implied that all values are > 0.

Here are my VALUES:
X = 10 (percent)
Y = 50 (percent)
M = 1 (player)
Q = 2 (players
P = 10 (dollars)

Using these values, we get...

March:
10% of 1 player @\$10/each = 10%(\$10) = \$1

April:
50% of 3 players @\$10/each = 50%(\$30) = \$15

The DIFFERENCE = \$14

Since the answer choices are suitably "crazy"-looking, we need to take advantage of any repeating patterns (such as P/100 = 10/100 = 1/10) and math "shortcuts" so we can avoid any unnecessary work.

Answer A: (1/10)[50 - 30] = \$2 Not a match

Answer B: (1/10)[30 + 50] = \$8 Not a match

Answer C: 10[-50 - 10] = NEGATIVE. Not a match

Answer D: (1/10)[30 - 50] = NEGATIVE. Not a match

Answer E: (1/10)[150 - 10] = \$14 MATCH

GMAT assassins aren't born, they're made,
Rich
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Re: An electronics salesman earned a x% commission on each of [#permalink]
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Re: An electronics salesman earned a x% commission on each of [#permalink]
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