A grocer bought 24Kg of coffee beans at price X. After a while one thi

Question

A grocer bought 24Kg of coffee beans at price X. After a while one third of the stock got spoiled so he sold the rest for 200$ per Kilo and made a total profit of twice the cost. What must be price X?

A. 66 2/3$.

B. 50 1/3$.

C. 44 4/9$.

D. 33 1/3$.

E. 24 1/2$.

pushpitkc · Answer

The grocer bought 24 kg of coffee beans at X and sold 16 kg(as one-third of stock
got spoiled) of the stock for 200$ per kilo. The total profit made is twice the cost.

Profit = Selling Price - Cost Price So,  16*200 - 24*x = 2*24x

This can be further simplified as  72x = 16*200  ->  x = \frac{16*200}{72} = \frac{400}{9}

Therefore, the price at which the grocer bought the coffee beans is $ 44\frac{4}{9}   (Option C)

EgmatQuantExpert · Answer

There is a small calculation mistake in the end.

16 * 200/72 = 400/9

pushpitkc · Answer

Thanks for notifying - Have made the necessary changes

EgmatQuantExpert · Answer

Solution 
  Given:  
 • Cost price of 24kg of coffee beans = 24 * X
• Sold the rest  (\frac{2}{3}) * 24kg  at a selling price of $200 per kg
• Profit = 2 * cost price

To find:  
 • The value of X

Approach and Working:   
 • Total CP = 24X
• Total SP =  $200 * 24 * \frac{2}{3}= $3200 
• Profit = $3200 – 24X = 2 * 24X
 o Implies,  X = \frac{$3200}{72} = \frac{$400}{9} = $44\frac{4}{9}

Hence, the correct answer is Option C

Answer: C  
  https://e-gmat.com/blogs/wp-content/uploads/2018/08/Ability-Quiz-WP-e1533292133520.png

Shishou · Answer

this is a poorly worded question. The question makes it like the whole 24kg costs X while what the answer really confirms is that 24kg was bought at X per kilo. @Bunuel,this question needs to be reworded

Kinshook · Answer

Given: 
1. A grocer bought 24Kg of coffee beans at price X. 
2. After a while one third of the stock got spoiled so he sold the rest for 200$ per Kilo and made a total profit of twice the cost.

Asked; What must be price X?

Total initial stock = 24 kg
Total cost price = $24X

Stock spoiled = 8 kg
Remaining stock = 16 kg
Total selling price = 16 * 200 = $3200

Total Profit = Total selling price - Total cost price = 3200 - 24X = 48X
72X = 3200
X = 3200/72 = 400/9 = $44 4/9

IMO C

Abhishek009 · Answer

CP of 24 Kgs = 24x

1/3rd of 24 kg spoilt , so we are left with 2/3rd = 16 kgs and he sells it  200  / kg , so SP = 3200

SP - CP = Profit

So, 3200 - 24x = 48x

Or, 72x = 3200

So, x = 44 4/9 , Answer must be (C)

shaurya_gmat · Answer

I got this question while practicing on Forum Quiz. Since I had limited time, I proceeded with assuming cost of 24 kg is X dollars (as stated in the question).
Now that I revisit and try to solve this considering 24 kg  x  / kg, this is a pretty straightforward question. But during the timed practice session, I had to randomly choose the answer as I had spent 1.5 mins on the initial calculation itself and had to move on. I assume this isn't an OG question, and I hope that we will not see questions with such language in the actual GMAT.

A grocer bought 24Kg of coffee beans at price X. After a while one thi

Prep Toolkit

Top 5 GMAT Debrief Videos

615 to 715 in 15 Days (Ria's Strategies)

More than Quant/Verbal Abilities: Speed vs. Accuracy

745 with Only Self-Prep and GMAT Club

From 555 to 765: 210-point Improvement

Perfect 805 Score Debrief by Julia

My Rewards

GMAT Problem Solving (PS) Questions

A grocer bought 24Kg of coffee beans at price X. After a while one thi

Prep Toolkit

615 to 715 in 15 Days (Ria's Strategies)

More than Quant/Verbal Abilities: Speed vs. Accuracy

745 with Only Self-Prep and GMAT Club

From 555 to 765: 210-point Improvement

Perfect 805 Score Debrief by Julia

My Rewards