Fresh watermelon contains 90% water by weight whereas dry watermelon c

Question

Fresh watermelon contains 90% water by weight whereas dry watermelon contains 20% water by weight. Ben buys 64 kg of fresh watermelon for 160$. At what price should Ben sell the dry watermelon to get a profit of 20%.

A. 24
B. 26
C. 25
D. 30
E. 31

A. 24
B. 26
C. 25
D. 30
E. 31

GMATinsight · Accepted Answer

CONCEPT : In water evaporation problems Solid weight remains CONSTANT

Fresh watermelon weight = 64 Kg
Solid in Fresh watermelon = 10% (because 90% is water) = 10% of 64 = 6.4 kg

dry watermelon contains 20% water by weight
i.e. Solid in Dry watermelon = 80% of its new weight
i.e 80% of Weight of Dry = 6.4 Kg
i.e Total Weight of Dry Watermelon = 8 kg

Cost of fresh watermelon = $160
Selling price of Dry Watermelon= 160+20% of 160 = $192

Per Kg cost of Dry watermelon =  \frac{192}{8} = $24

Answer: Option A

rajatchopra1994 · Answer

Explanation:

90% of the weight of the fresh melon is water, so 10% is not water.

10%∗64kg=6.4 kg of totally waterless melon.

Dry watermelon contains 20% water. So 80% of the weight of dried melon is not water.

80%∗Dried melon Weight=6.4 kg

So Dried melon Weight = 6.4 / 80% = 8 kg

Per kg Rate = 160/64 = 2.5$
For 8kg = 20$
For 20% Profit = 20x1.2 = 24$

IMO-A

EgmatQuantExpert · Answer

Solution

Given

• Fresh watermelon contains 90% water by weight.
• Dry watermelon contains 20% water by weight.
• Ben buys 64 kg of fresh watermelon for 160$.

To Find

• At what price he should sell dry watermelon to get 20% profit. 
 
 Approach and Working Out

• Fresh watermelon – 
 o 90% water and 10% solid(remaining) part. 
• Dry watermelon – 
 o 20% water and 80% solid (remaining) part. 
• Remaining part should remain same.
• Let the yield of dry watermelon be x kg.
 o 10% of 64 kg = 80% of x kg
o x =  \frac{(80 × 10)}{64}  kg
 = 8 kg  
• Cost of 1 kg of dry watermelon =  \frac{160}{8}  = 20 $.
• To make 20% profit it must be sold at 1.2 x 20 = 24 $.

Correct Answer: Option A

satya2029 · Answer

64 kg for $160
1 kg for 160/64=$2.5
10% of fresh watermelon=80% of the dry watermelon
Wt of dry watermelon= 1/8*64
=8kg
when 1 kg for $2.5
8 kg= $20
For 20% profit
1.2*20
24
A:)
 yashikaaggarwal 
I don't think it's a sub 600 level question. A good one I would say!

Neha2404 · Answer

IMO-A
Given
Watermelon. Water percentage 
Fresh 90
Dry. 20

Price of fresh watermelon is 64kg =$160
 Per kg fresh watermelon price =160/64 
 =2.5
Dry watermelon has other than water part =80%
Fresh watermelon has other than water part =10
So,
10% water part price is =2.5/10
80% water part price is =2.5*80/10
 =20
For Ben cost of dry watermelon is =20
He sold on 20% profit sell price is =20*120%
 =$24

Answer is A

Posted from my mobile device

yashikaaggarwal · Answer

Thanks for that, Regarding the question i think the question can be solved within a minute time. and the 600-700 take more efforts than just multiplication. But even if its a good level question, its good for us. We know we can easily solve such question within or less than the average time frame.

kingbucky · Answer

To provide more clarity, the question stem may be amended to " At what price  per kg  should Ben sell the dry watermelon to get a profit of 20%."

Fresh watermelon contains 90% water by weight whereas dry watermelon c

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Fresh watermelon contains 90% water by weight whereas dry watermelon c

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