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# fresh watermelon contains 90% water by weight

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PS Forum Moderator
Joined: 18 Jan 2020
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fresh watermelon contains 90% water by weight  [#permalink]

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29 Jun 2020, 06:53
00:00

Difficulty:

55% (hard)

Question Stats:

46% (01:20) correct 54% (02:56) wrong based on 13 sessions

fresh watermelon contains 90% water by weight whereas dry watermelon contains 20% water by weight. Ben buys 64 kg of fresh watermelon for 160$. At what price should Ben sell the dry watermelon to get a profit of 20%. A. 24 B. 26 C. 25 D. 30 E. 31 Director Joined: 16 Feb 2015 Posts: 657 Location: United States Re: fresh watermelon contains 90% water by weight [#permalink] ### Show Tags 29 Jun 2020, 07:12 1 Explanation: 90% of the weight of the fresh melon is water, so 10% is not water. 10%∗64kg=6.4 kg of totally waterless melon. Dry watermelon contains 20% water. So 80% of the weight of dried melon is not water. 80%∗Dried melon Weight=6.4 kg So Dried melon Weight = 6.4 / 80% = 8 kg Per kg Rate = 160/64 = 2.5$
For 8kg = 20$For 20% Profit = 20x1.2 = 24$

IMO-A
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fresh watermelon contains 90% water by weight  [#permalink]

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29 Jun 2020, 07:42
1
yashikaaggarwal wrote:
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 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 _________________ Prepare with PERFECTION to claim Q≥50 and V≥40 !!! GMATinsight .............(Bhoopendra Singh and Dr.Sushma Jha) e-mail: info@GMATinsight.com l Call : +91-9999687183 / 9891333772 One-on-One Skype classes l Classroom Coaching l On-demand Quant course l Admissions Consulting Most affordable l Comprehensive l 2000+ Qn ALL with Video explanations l LINK: Courses and Pricing Click for FREE Demo on VERBAL & QUANT Our SUCCESS STORIES: From 620 to 760 l Q-42 to Q-49 in 40 days l 590 to 710 + Wharton l FREE GMAT Resource: 22 FREE (FULL LENGTH) GMAT CATs LINKS l NEW OG QUANT 50 Qn+VIDEO Sol. e-GMAT Representative Joined: 04 Jan 2015 Posts: 3440 fresh watermelon contains 90% water by weight [#permalink] ### Show Tags Updated on: 09 Jul 2020, 04:43 2 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 $. • To make 20% profit it must be sold at 1.2 x 20 = 24$.

_________________

Originally posted by EgmatQuantExpert on 29 Jun 2020, 22:04.
Last edited by EgmatQuantExpert on 09 Jul 2020, 04:43, edited 1 time in total.
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Re: fresh watermelon contains 90% water by weight  [#permalink]

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29 Jun 2020, 23:30
1
yashikaaggarwal wrote:
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 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! Intern Joined: 07 Mar 2020 Posts: 36 Location: India Concentration: Finance, Accounting Re: fresh watermelon contains 90% water by weight [#permalink] ### Show Tags 30 Jun 2020, 00:03 1 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%
=$24 Answer is A Posted from my mobile device PS Forum Moderator Joined: 18 Jan 2020 Posts: 1501 Location: India GPA: 4 Re: fresh watermelon contains 90% water by weight [#permalink] ### Show Tags 30 Jun 2020, 00:34 satya2029 wrote: yashikaaggarwal wrote: fresh watermelon contains 90% water by weight whereas dry watermelon contains 20% water by weight. Ben buys 64 kg of fresh watermelon for 160$. 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

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!

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.
Re: fresh watermelon contains 90% water by weight   [#permalink] 30 Jun 2020, 00:34