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10 litres are removed from 80 litres of solution of milk and water hav

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10 litres are removed from 80 litres of solution of milk and water hav  [#permalink]

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New post 11 Jan 2020, 05:59
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Difficulty:

  45% (medium)

Question Stats:

58% (02:32) correct 42% (02:30) wrong based on 30 sessions

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10 litres are removed from 80 litres of solution of milk and water having ratio of milk and water as 4 : 3 and replaced with water. This operation is done a total of three times. What is the quantity of milk in the solution?

A. 245/8 litres
B. 247/8 litres
C. 249/8 litres
D. 250/8 litres
E. 255/8 litres
Spoiler: OA

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Re: 10 litres are removed from 80 litres of solution of milk and water hav  [#permalink]

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New post 11 Jan 2020, 06:00
Bunuel wrote:
10 litres are removed from 80 litres of solution of milk and water having ratio of milk and water as 4 : 3 and replaced with water. This operation is done a total of three times. What is the quantity of milk in the solution?

A. 245/8 litres
B. 247/8 litres
C. 249/8 litres
D. 250/8 litres
E. 255/8 litres


TWIN QUESTION: https://gmatclub.com/forum/10-litres-ar ... 14164.html
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DS: DS Standard deviation | Inequalities | 700+ GMAT Data Sufficiency Questions With Explanations | Tough and tricky exponents and roots questions | The Discreet Charm of the DS | Devil's Dozen!!! | Number Properties set | New DS set
MIXED: GMAT Club's Complete Questions' Bank | SEVEN SAMURAI OF 2012 | Tricky questions from previous years. | Special Questions' Directory | Best Of The Best Of 2017 | The Best Of Quant of 2016 | 20 hardest and 20 best questions of 2015 | 15 best topics of 2015 | Seven Samurai of 2012 | GMAT Probability Questions

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10 litres are removed from 80 litres of solution of milk and water hav  [#permalink]

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New post 12 Jan 2020, 06:59
Bunuel wrote:
10 litres are removed from 80 litres of solution of milk and water having ratio of milk and water as 4 : 3 and replaced with water. This operation is done a total of three times. What is the quantity of milk in the solution?

A. 245/8 litres
B. 247/8 litres
C. 249/8 litres
D. 250/8 litres
E. 255/8 litres


Initial quantity of milk= 80*(4/7)=320/7
Quantity after three successive removal=\((320/7)*(1-10/80)^3\)
=245/8
A:)
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10 litres are removed from 80 litres of solution of milk and water hav   [#permalink] 12 Jan 2020, 06:59
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10 litres are removed from 80 litres of solution of milk and water hav

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