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fresh watermelon contains 90% water by weight

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

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New post 29 Jun 2020, 06:53
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Question Stats:

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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
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Re: fresh watermelon contains 90% water by weight  [#permalink]

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New post 29 Jun 2020, 07:12
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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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New post 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
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fresh watermelon contains 90% water by weight  [#permalink]

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New post 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 $.

Correct Answer: Option A
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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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New post 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!
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Re: fresh watermelon contains 90% water by weight  [#permalink]

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New post 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

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Re: fresh watermelon contains 90% water by weight  [#permalink]

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

fresh watermelon contains 90% water by weight

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