A dealer mixes a pounds of nuts worth b cents per pound with c pounds

Question

A dealer mixes a pounds of nuts worth b cents per pound with c pounds of nuts worth d cents per pound. At what price should he sell a pound of the mixture if he wishes to make a profit of 10 cents per pound?

(A) (ab + cd)/(a + c) + 10

(B) (ab + cd)/(a + c) + 0.1

(C) (b + d)/(a + c) + 10

(D) (b + d)/(a + c) + 0.1

(E) (b + d + 10)/(a + c)

Bunuel · Answer

18. Mixture Problems 
     Theory   
 Weighted Average and Mixture Problems on the GMAT 
 Tips and Tricks: Mixtures 
     Questions   
 DS Questions 
 PS Questions

For more check  Ultimate GMAT Quantitative Megathread

Hope it helps.

raj2812 · Answer

ANS: cost of A pounds of nuts worth B cent/ pound = AB cents cost of C pounds of nuts worth D cent/ pound = CD cents total cost of mixture = AB+CD cents total cost of mixture per pound = (AB+CD)/ A+C cents profit = 10 cents Total = (AB+CD)/ A+C + 10 Answer (A) Hope this is correct and of some help!

pushpitkc · Answer

Since the dealer mixes 
a=1 pounds of nuts worth b=30 cents per pound 
and c=2 pounds of nuts at d=15 cents per pound,

he would be selling one pound of this mixture at  \frac{1*30 + 2*15}{1 + 2} = \frac{60}{3} = 20  cents

For the dealer to make a profit of 10 cents per pound, he would have to sell the mixture at  30  cents.

Evaluating answer options,

(A) (ab + cd)/(a + c) + 10 = 1*30 + 2*15/(1 + 2) + 10 = 30 cents.

Therefore,  Option A((ab + cd)/(a + c) + 10)  is the price at which the dealer should sell a pound of the mixture.

Shobhit7 · Answer

Type 1:
Quantity: 'a' lbs
Unit Price: 'b' cents/lbs
Total Cost: 'ab' cents

Type 2:
Quantity: 'c' lbs
Unit Price: 'd' cents/lbs
Total Cost: 'cd' cents

Type 1+2:
Net Cost Price: (ab+cd) cents
Net Quantity: (a+c)
Net Unit Price: (ab+cd)/(a+c)

Profit on unit price: 10 cents

Therefore, 
Selling Price per unit: 
{(ab+cd)/(a+c)} + 10

Ans A

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JeffTargetTestPrep · Answer

The mixed nuts are worth (ab + cd)/(a + c) cents per pound. Thus if he wants to make a profit of 10 cents per pound, he should sell them for (ab + cd)/(a + c) + 10 cents per pound.

Answer: A

putraadhiguna · Answer

Suggest to modify the question to "At what price should he sell <EACH> pound of the mixture if he wishes to make a profit of 10 cents per pound? " as opposed to "a pound" as the question have a and b variable as well.

DhruvPatelD10 · Answer

Price of new mixture =  \frac{(ab+cd)}{a+c} 
Therefore to sell at 10 cents higher per pound = Price + 10

Option A

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A dealer mixes a pounds of nuts worth b cents per pound with c pounds

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A dealer mixes a pounds of nuts worth b cents per pound with c pounds

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