A fashion designer sold a pair of jeans to a retail store for 40 perce

Question

Tough and Tricky questions: Percents.

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%

Kudos for a correct  solution .

omegacube · Answer

Let the cost of manufacture be X.
The price paid by the store = 1.4X
Price paid by customer = 1.25 into 1.4X = 1.75X
Therefore the markup is 75%

Hence C

beattheheat · Answer

Let Manufacturing Cost = x
Retailer Paid = 1.4x
Customer Paid = 1.4x + (1.4x * 25)/100 = 1.75x
Answer C

g106 · Answer

Manufacturing Cost = x
retailer Cost y = 1.4x
Customer Cost z = 1.25y = 1.25(1.4x) = 1.75x = 75% of manufacturing cost

ANS C

minwoswoh · Answer

Manufacturing Cost = m
Retail cost = 1.4 m = (7/5) m
Customer Cost = (1.4) (1.25) m = (7/5) (5/4) m --> Cancel Fractions: Customer Cost = (7/4) m

The price the customer paid was what percent greater than the cost of manufacturing the jeans?

((7/4) m / m) - 1 = 0.75

The mark up is 75%

qw1981 · Answer

Assume Production cost is 200. (Assume in hundreds to avoid decimal and 200 instead of 100 as we will need to apply two successive percentages.)

M.P=200 ==> S.P for Designer= C.P for retailer==> 200+200*40%==> 280.

Customer Buying price=280+ 280*25%=350

Profit=% Change= (350-200)*100/200=75%..hence answer is C

pate13 · Answer

Since the designer sold the jeans for 14/10 of what it cost him/her to make the jeans, I would start with a number that is easily divisible by 14.

1) Start with a price that the designer could have sold the jeans to the retail store for. I used 140 since it is easily divisible by 14. 
2) 140 * 10/14 = the cost to the fashion designer to manufacture the jeans. 10/14 is the reciprocal of 14/10, which is the markup the designer sold the jeans for (40%). 140 * 10/14 = 100.
3) 140 * 5/4 = the price that the customer paid for the jeans. 140 * 5/4 = 175.
4) 175 is a 75% increase from 100.

The answer is C.

Alternatively, you could also just find the product of the two increases: (14/10) * (5/4) = 70/40, which is 1.75 and a 75% increase.

PareshGmat · Answer

Answer = C. 75%

Let initial cost = 100

Selling price  = 100 * \frac{140}{100} * \frac{125}{100} = 175

Difference = 175 - 100 = 75%

Bunuel · Answer

OFFICIAL SOLUTION:

(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).

bumpbot · Answer

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A fashion designer sold a pair of jeans to a retail store for 40 perce

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