Summer is Coming! Join the Game of Timers Competition to Win Epic Prizes. Registration is Open. Game starts Mon July 1st.

 It is currently 18 Jul 2019, 20:58

GMAT Club Daily Prep

Thank you for using the timer - this advanced tool can estimate your performance and suggest more practice questions. We have subscribed you to Daily Prep Questions via email.

Customized
for You

we will pick new questions that match your level based on your Timer History

Track

every week, we’ll send you an estimated GMAT score based on your performance

Practice
Pays

we will pick new questions that match your level based on your Timer History

Show Tags

22 Feb 2018, 20:46
1
00:00

Difficulty:

25% (medium)

Question Stats:

95% (02:27) correct 5% (00:00) wrong based on 23 sessions

HideShow timer Statistics

A salesman makes a commission of x percent on the first $2,000 worth of sales in any given month and y percent on all further sales during that month. If he makes$700 from $4,000 of sales in October and he makes$900 from $5,000 of sales in November, what is the value of x ? (A) 2% (B) 5% (C) 10% (D) 15% (E) 20% _________________ Senior PS Moderator Joined: 26 Feb 2016 Posts: 3360 Location: India GPA: 3.12 A salesman makes a commission of x percent on the first$2,000 worth  [#permalink]

Show Tags

22 Feb 2018, 22:52
Bunuel wrote:
A salesman makes a commission of x percent on the first $2,000 worth of sales in any given month and y percent on all further sales during that month. If he makes$700 from $4,000 of sales in October and he makes$900 from $5,000 of sales in November, what is the value of x ? (A) 2% (B) 5% (C) 10% (D) 15% (E) 20% If the salesman makes a sale of$z, the commission on this sale is $$\frac{x}{100}*2000 + \frac{y}{100}*(z-2000)$$

Since the salesman made $700 from z=$4000 in October, $$\frac{x}{100}*2000 + \frac{y}{100}*2000 = 700$$
Similarly, the salesman made $900 from z=$5000 in October, $$\frac{x}{100}*2000 + \frac{y}{100}*3000 = 900$$

The equations formed are as follows :

20x + 20y = 700 -> (1) * 3 -> 60x + 60y = 2100 -> (3)
20x + 30y = 900 -> (2) * 2 -> 40x + 60y = 1800 -> (4)

Solving for x, we get 20x = 300 -> x = 15%(Option D)
_________________
You've got what it takes, but it will take everything you've got
Retired Moderator
Joined: 07 Jan 2016
Posts: 1090
Location: India
GMAT 1: 710 Q49 V36
A salesman makes a commission of x percent on the first $2,000 worth [#permalink] Show Tags 23 Feb 2018, 00:40 Bunuel wrote: A salesman makes a commission of x percent on the first$2,000 worth of sales in any given month and y percent on all further sales during that month. If he makes $700 from$4,000 of sales in October and he makes $900 from$5,000 of sales in November, what is the value of x ?

(A) 2%

(B) 5%

(C) 10%

(D) 15%

(E) 20%

x/100 x 2000 + y/100 x (s - 2000)

x/100 x 2000 + y/100 x 2000 = 700

x/100 x 2000 + y/100 x 3000 = 900

i.e 10y = 200 ( subtracted the equation ) y=20%

now substitute y = 20

20x + 400 = 700

x = 300/20 = 15

(D) imo