A salesperson received 6 percent commission on the amount of totalA sa

Question

A salesperson received 6 percent commission on the amount of total sales up to and including $10,000, and r percent commission on the amount of total sales above $10,000. If the salesperson received a total commission of $920 on total sales of $14,000, what was the value of r ?

(A) 3.2
(B) 4.3
(C) 6.6
(D) 8.0
(E) 9.2

(A) 3.2
(B) 4.3
(C) 6.6
(D) 8.0
(E) 9.2

sashiim20 · Answer

Total sales  = $14,000   = 10,000 + 4000

6 % commission on the amount of total sales up to and including  $10,000 . = 6 % of  $10,000 .

r % commission on the amount of total sales above  $10,000 .  = r % of  $4000 .

Let  x  be the commission received of amount  $4000 .

Commission of  6 %  = \frac{6}{100}* 10,000 = $600

Total commission  = $920

920 = 600 + x

x = 900 - 600 = $320

r % of  $4000 =\frac{r}{100} * 4000 = 320

r = \frac{320 * 100}{4000} = 8 . Answer (D)...

Smokeybear00 · Answer

(.06)(10,000) + (r)(4,000) = 920

600 +4,000r = 920

4000r = 320

r = 320/4000

r = 32/400

r = 8/100

r = 8%

elegantm · Answer

Commission on sales upto 10000 = 6% x 10,000 = 600
Total Commission received = 920
Commission received on sales above 10,000 = 320

r = 320/4000 = 8%

Hence Answer D

ScottTargetTestPrep · Answer

920 = 10,000 x 0.06 + r/100 x (14,000 - 10,000)

920 = 600 + r/100 x 4000

320 = 40r

8 = r

Answer: D

阿达 · Answer

Why is C incorrect?

Determining the value of r as 920/14,000 is incorrect because the salesperson received a 6% commission on the first $10,000 and an r-percent commission on the amount over $10,000.

Here's a rephrased question where the value of r is 920/14,000.

"A salesperson received a 6-percent commission on the amount of total sales up to and including $10,000. For the amount of total sales over $10,000, the salesperson received a commission at a rate r. If the salesperson received a total commission of $920 on total sales of $14,000, what was the value of r?"

Let's compare the Original Question:

"A salesperson received 6 percent commission on the amount of total sales up to and including $10,000, and r percent commission on the amount of total sales above $10,000. If the salesperson received a total commission of $920 on total sales of $14,000, what was the value of r ?"

Upon comparing, the primary difference is in the phrasing related to the commission rate on sales over $10,000, both questions aim to determine the value of r, in the altered scenario, r represents the commission rate on the entire sales amount, and its value is indeed 920/14,000.

A salesperson received 6 percent commission on the amount of totalA sa

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A salesperson received 6 percent commission on the amount of totalA sa

Prep Toolkit

615 to 715 in 15 Days (Ria's Strategies)

More than Quant/Verbal Abilities: Speed vs. Accuracy

745 with Only Self-Prep and GMAT Club

From 555 to 765: 210-point Improvement

Perfect 805 Score Debrief by Julia

My Rewards