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Bunuel
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A salesman makes a commission of x percent on the first $2,000 worth 22 Feb 2018, 20:46
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D
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83% (02:24) correct 17% (02:49) wrong based on 143 sessions

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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%
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D
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A salesman makes a commission of x percent on the first $2,000 worth 22 Feb 2018, 22:52
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Bunuel
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%
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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)
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A salesman makes a commission of x percent on the first $2,000 worth 23 Feb 2018, 00:40
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Bunuel
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%
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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
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A salesman makes a commission of x percent on the first $2,000 worth 10 Jun 2020, 03:27
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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 ?

This is just a hack that i used to save time, not an official method. Here goes :

he makes a $700 commission from $4,000 of sales in October and he makes $900 from $5,000 of sales in November,

Hence, for a difference of 1,000, he makes $200 commission.
We do not know the amount for the initial 2,000.
So to calculate for the subsequent $700 from $4,000, we can conclude that its $400 for $2,000.
so 700-400 = 300

The remaining $300 is the commission for 2000.

Calculating using simple percentage formula 300 is 15 percent of 2000.

OA : D 15%
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A salesman makes a commission of x percent on the first $2,000 worth 16 Jun 2020, 17:26
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Bunuel
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%
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We see that he makes $200 more on an additional $1000 worth of sales in November than in October. Since this additional $1000 worth of sales is beyond the first $2,000 worth of sales, we see that y must be 200/1000 = 20, and y percent can be expressed as 20/100. Now, we can create the following equation using the October sales data to solve for x, noting that x percent is expressed as x/100:

x/100 * 2000 + 20/100 * (4000 - 2000) = 700

20x + 2/10 * 2000 = 700

20x + 400 = 700

20x = 300

x = 15

Thus, his percent commission on the first $2000 in sales is 15%.

Answer: D
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A salesman makes a commission of x percent on the first $2,000 worth 19 Feb 2024, 01:07
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