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

Redeem

6 Chairs - Powerprep Question

This topic has expert replies
Post new topic Post Reply
Previous Topic Next Topic
Newbie | Next Rank: 10 Posts
Posts: 5
Joined: Tue Sep 08, 2009 11:16 am

6 Chairs - Powerprep Question

by romeroil » Tue Dec 08, 2009 11:00 pm
A certain store sells chairs individually or in sets of 6. The store charges less for purchasing a set of 6 chairs than for purchasing 6 chairs individually. How much does the store charge for purchasing a set of 6 chairs?

(1) The charge for purchasing a set of 6 chairs is 10 percent less than the charge for purchasing the 6 chairs individually.
(2) The charge for purchasing a set of 6 chairs is $20 more than the charge for purchasing 5 chairs individually.

You help is appreciated!
Top
Source: — Data Sufficiency |
User avatar
Community Manager
Posts: 1537
Joined: Mon Aug 10, 2009 6:10 pm
Thanked: 653 times
Followed by:252 members

by papgust » Tue Dec 08, 2009 11:56 pm
IMO C

Let x be the price for a set of 6 chairs and y be the price of an individual chair.

1) x = 0.90 * 6 * y ........ (1)
We cannot find out x as we have 2 unknowns. Insufficient.

2) x = 20 + 5*y ......... (2)
Again, we cannot find out x as we have 2 unknowns. Insufficient.

Combined,
Let's phrase the 1st equation as
y = x / 5.4

Sub this equation in (2),
x = 20 + 5 * (x/5.4)

We only have 1 unknown now. We can now find the value of x. No need to solve further once you are sure that you get the answer. Sufficient.
Top
Post new topic Post Reply
• Page 1 of 1