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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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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

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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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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

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

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