BREAKING: Target Test Prep releases Brand New 2026 On Demand GMAT prep course

Redeem

Percent problem

This topic has expert replies
Post new topic Post Reply
Previous Topic Next Topic
Source: — Problem Solving |
User avatar
Legendary Member
Posts: 2135
Joined: Mon Feb 03, 2014 9:26 am
Location: https://martymurraycoaching.com/
Thanked: 955 times
Followed by:140 members
GMAT Score:800

by MartyMurray » Thu Mar 03, 2016 10:00 pm
didieravoaka wrote:An auction house charges a commission of 15% on the first $50,000 of the sale price of an item, plus 10% on the amount of of the sale price in excess of $50,000. What was the price of a painting for which the house charged a total commission of $24,000?

(A) $115,000
(B) $160,000
(C) $215,000
(D) $240,000
(E) $365,000
One way to bang this one out with or without using the pad is to do the following.

You know that 24,000 is more than 15% of 50,000. So just start with 15% of 50,000, which is half of 15% of 100,000. So 15% of 50,000 is 7500.

After doing that you know that the rest, 24,000 - 7500 = 16,500 is 10% of the rest of the price. So the quantity above 50,000 is 165,000.

50,000 + 165,000 = 215,000

The correct answer is C.
Marty Murray
Perfect Scoring Tutor With Over a Decade of Experience
MartyMurrayCoaching.com
Contact me at [email protected] for a free consultation.
Top

GMAT/MBA Expert

User avatar
Elite Legendary Member
Posts: 10392
Joined: Sun Jun 23, 2013 6:38 pm
Location: Palo Alto, CA
Thanked: 2867 times
Followed by:511 members
GMAT Score:800

by [email protected] » Thu Mar 03, 2016 11:43 pm
Hi didieravoaka,

This question can be solved by TESTing THE ANSWERS.

We're told that the commission is 15% of the first $50,000 (so that's $7,500) and 10% of the anything above $50,000. Then we're told that the total commission on an item was $24,000. We're asked for the overall price of the item.

Let's TEST Answer B: $160,000

We already know that the first $7,500 comes from the first $50,000.
10% of the remaining $110,000 = $11,000
$7500 + $11000 = $18,500 which is TOO LOW.
Eliminate Answers B and A.

Next, Let's TEST Answer D: $240,000

We already know that the first $7,500 comes from the first $50,000.
10% of the remaining $190,000 = $19,000
$7500 + $19000 = $26,500 which is TOO HIGH.
Eliminate Answers D and E.

There's only one answer left.

Final Answer: C

GMAT assassins aren't born, they're made,
Rich
Contact Rich at [email protected]
Image
Top
GMAT Instructor
Posts: 2630
Joined: Wed Sep 12, 2012 3:32 pm
Location: East Bay all the way
Thanked: 625 times
Followed by:119 members
GMAT Score:780

by Matt@VeritasPrep » Fri Mar 04, 2016 3:15 pm
It also helps to write these in words first.

(15% of $50,000) + (10% of rest) = Commission

so

.15*50,000 + .10*(total - 50,000) = 24,000

then just solve for the total, and you're set! In my experience, though, that first step is a huge, huge help.
Top
Post new topic Post Reply
• Page 1 of 1