It is currently Sun Oct 21, 2018 1:58 pm

 All times are UTC - 5 hours [ DST ]

 Page 1 of 1 [ 4 posts ]
 Print view Previous topic | Next topic
Author Message
 Post subject: GMAT PercentagePosted: Tue Nov 09, 2010 5:09 pm

Joined: Sun May 30, 2010 3:15 am
Posts: 424
A fashion designer sold a pair of jeans to a retail store for 40 percent more than it cost to manufacture the pair of jeans. A customer bought the pair of jeans for 25 percent more than the retailer paid for them. The price the customer paid was what percent greater than the cost of manufacturing the jeans?

A. 65%
B. 70%
C. 75%
D. 85%
E. 95%

(C) Since a 40% increase price is the same as multiplying the original amount by 1.4, the retail store paid 1.4 times the cost of manufacturing the jeans. The customer then paid 25% more than this amount, or 1.25 times it. So the customer paid 1.25 × 1.4 × the cost to manufacture, or 1.75 × the cost to manufacture. 1.75 times the manufacturing cost is a 75% increase in price. The correct answer is choice (C).

Alternative Method (Picking Numbers):
If you are having problems with percent increases (or decreases), and you are not given a dollar amount to work with, try substituting a round number, such as 100.
This allows you to make calculations that will result in clear-cut amounts. If the jeans cost \$100 to make, then the retailer bought them for \$140 (40% more than \$100). The customer would then buy them for 25% more than \$140, or \$175 (to calculate a 25% increase, multiply \$140 by 1.25). Subtract \$100 (the original purchase price) from \$175 to get an increase in price of \$75, which is a percent increase of 75%.
-------------

The question outlined: The customer bought the pair of jeans for 25% more than the retailer PAID for them. Not 25% more then the retailer SOLD it for. Therefore I am not too clear on the answer.

Top

 Post subject: Re: math (test1, question 22): percentages.Posted: Tue Nov 09, 2010 5:16 pm

Joined: Sun May 30, 2010 2:23 am
Posts: 498
The customer bought the pair of jeans for the price that the retailer SOLD it for. The retailer sold the jeans for 25% more than he paid for them.

The whole chain is the following:

[manufactured = x]the designer -> [price = 1.4x] -> the retailer -> [price = 1.25 × 1.4x] -> the customer.

The customer bought the jeans for 1.75 of the manufacturing cost.

Top

 Post subject: Re: math (test1, question 22): percentages.Posted: Thu Dec 30, 2010 3:35 am

Joined: Sun May 30, 2010 3:15 am
Posts: 424
I don't get the solution of this problem. What is 1.4 or 1.75 about? If you could send me the solution I would be glad.

Regards.

Top

 Post subject: Re: math (test1, question 22): percentages.Posted: Thu Dec 30, 2010 3:51 am

Joined: Sun May 30, 2010 2:23 am
Posts: 498
When you deal with percentages you should keep in mind both variants of notation:
40% = 0.4
140% = 1.4
75% = 0.75
175% = 1.75
100% = 1

You should also keep in mind that percentage is a relative value.
For example, if x is 200% of y, then y is 50% of x.
x = 2 × y
y = (1/2) × x
y = 0.5x

In this particular question:
Quote:
A fashion designer sold a pair of jeans to a retail store for 40 percent more than it cost to manufacture the pair of jeans.

If it cost x dollars to manufacture the pair of jeans, then the base is x.
x = 100% of x = 1 × x.
The price is 140% of the manufacturing cost.
140% of x = 1.4 × x.

Quote:
A customer bought the pair of jeans for 25 percent more than the retailer paid for them.

The base in this case is the price, which was paid by the retailer: 1.4x dollars.
100% of 1.4x = 1 × 1.4x
Therefore the price for the customer, which is 125% of the base is:
125% of 1.4x = 1.25 × 1.4x = 1.75x

So we know that the final price is 1.75x dollars. If we look at the manufacturing cost as the base, then x = 100% of x
1.75x = 175% of x.
Therefore the increase is 175% – 100% = 75%.

Top

 Display posts from previous: All posts1 day7 days2 weeks1 month3 months6 months1 year Sort by AuthorPost timeSubject AscendingDescending
 Page 1 of 1 [ 4 posts ]

 All times are UTC - 5 hours [ DST ]

#### Who is online

Users browsing this forum: No registered users and 6 guests

 You cannot post new topics in this forumYou cannot reply to topics in this forumYou cannot edit your posts in this forumYou cannot delete your posts in this forumYou cannot post attachments in this forum

Search for:
 Jump to:  Select a forum ------------------ GMAT    GMAT: Quantitative Section (Math)    GMAT: Verbal Section    GMAT: Integrated Reasoning    GMAT: General Questions GRE    GRE: Quantitative Reasoning (Math)    GRE: Verbal Reasoning    GRE: General Questions General questions    Other questions