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Fresh grapes contain 80% water by weight and raisins obtained by dryin

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Fresh grapes contain 80% water by weight and raisins obtained by dryin  [#permalink]

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New post 01 Sep 2014, 04:32
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A
B
C
D
E

Difficulty:

  55% (hard)

Question Stats:

69% (02:14) correct 31% (02:16) wrong based on 200 sessions

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Fresh grapes contain 80% water by weight and raisins obtained by drying fresh grapes contain 25% water by weight. How many kgs of fresh grapes are needed to get 20kgs of raisins?
A) 75 kgs
B) 64kgs
C) 72 kgs
D) 65 kgs
E) 70 kgs

Source: 4gmat
Please explain
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Posts: 49858
Re: Fresh grapes contain 80% water by weight and raisins obtained by dryin  [#permalink]

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New post 01 Sep 2014, 05:16
2
6
alphonsa wrote:
Fresh grapes contain 80% water by weight and raisins obtained by drying fresh grapes contain 25% water by weight. How many kgs of fresh grapes are needed to get 20kgs of raisins?

A) 75 kgs
B) 64kgs
C) 72 kgs
D) 65 kgs
E) 70 kgs

Source: 4gmat
Please explain


The weight of non-water in 20 kg of dried grapes (which is 100-25=75% of whole weight) will be the same as the weight of non-water in x kg of fresh grapes (which is 100-80=20% of whole weight), so 20*0.75 = x*0.2 --> x = 75.

Answer: A.
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Fresh grapes contain 80% water by weight and raisins obtained by dryin  [#permalink]

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New post 01 Sep 2014, 05:16
Bunuel wrote:
alphonsa wrote:
Fresh grapes contain 80% water by weight and raisins obtained by drying fresh grapes contain 25% water by weight. How many kgs of fresh grapes are needed to get 20kgs of raisins?

A) 75 kgs
B) 64kgs
C) 72 kgs
D) 65 kgs
E) 70 kgs

Source: 4gmat
Please explain


The weight of non-water in 20 kg of dried grapes (which is 100-25=75% of whole weight) will be the same as the weight of non-water in x kg of fresh grapes (which is 100-80=20% of whole weight), so 20*0.75 = x*0.2 --> x = 75.

Answer: A.


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Hope this helps.
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New to the Math Forum?
Please read this: Ultimate GMAT Quantitative Megathread | All You Need for Quant | PLEASE READ AND FOLLOW: 12 Rules for Posting!!!

Resources:
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Collection of Questions:
PS: 1. Tough and Tricky questions; 2. Hard questions; 3. Hard questions part 2; 4. Standard deviation; 5. Tough Problem Solving Questions With Solutions; 6. Probability and Combinations Questions With Solutions; 7 Tough and tricky exponents and roots questions; 8 12 Easy Pieces (or not?); 9 Bakers' Dozen; 10 Algebra set. ,11 Mixed Questions, 12 Fresh Meat

DS: 1. DS tough questions; 2. DS tough questions part 2; 3. DS tough questions part 3; 4. DS Standard deviation; 5. Inequalities; 6. 700+ GMAT Data Sufficiency Questions With Explanations; 7 Tough and tricky exponents and roots questions; 8 The Discreet Charm of the DS; 9 Devil's Dozen!!!; 10 Number Properties set., 11 New DS set.


What are GMAT Club Tests?
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Re: Fresh grapes contain 80% water by weight and raisins obtained by dryin  [#permalink]

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New post 05 Apr 2018, 16:45
1
Used weighted average formula

Wr/Wg= (100 - 80) / (80-25) = 4/11

(4/14) * X = 20

X=75

Answer A
GMAT Club Bot
Re: Fresh grapes contain 80% water by weight and raisins obtained by dryin &nbs [#permalink] 05 Apr 2018, 16:45
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