Aptitude - Alligation or Mixture - Discussion

Discussion Forum : Alligation or Mixture - General Questions (Q.No. 14)
14.
8 litres are drawn from a cask full of wine and is then filled with water. This operation is performed three more times. The ratio of the quantity of wine now left in cask to that of water is 16 : 65. How much wine did the cask hold originally?
18 litres
24 litres
32 litres
42 litres
Answer: Option
Explanation:

Let the quantity of the wine in the cask originally be x litres.

Then, quantity of wine left in cask after 4 operations = x 1 - 8 4  litres.
x

x(1 - (8/x))4 = 16
x 81

1 - 8 4 = 2 4
x 3

x - 8 = 2
x 3

3x - 24 = 2x

x = 24.

Discussion:
96 comments Page 10 of 10.

Venky said:   8 years ago
It should be 16:81.

Shree said:   1 decade ago
Awesome rachit.

Vijay said:   9 years ago
Thanks @Ayush.

Divya said:   1 decade ago
Thanks priya.

Shamika said:   7 years ago
How come 81?

Niket Polle said:   5 years ago
Thanks all.
(1)


Post your comments here:

Your comments will be displayed after verification.