wiz-icon
MyQuestionIcon
MyQuestionIcon
1
You visited us 1 times! Enjoying our articles? Unlock Full Access!
Question

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?

A
18 litres
No worries! We‘ve got your back. Try BYJU‘S free classes today!
B
24 litres
Right on! Give the BNAT exam to get a 100% scholarship for BYJUS courses
C
32 litres
No worries! We‘ve got your back. Try BYJU‘S free classes today!
D
42 litres
No worries! We‘ve got your back. Try BYJU‘S free classes today!
Open in App
Solution

The correct option is C 24 litres
Let the quantity of the wine in the cask originally be x litres.
Then, quantity of wine left in cask after 4 operations =[x(18x)4] litres.
(x(1(8/x))4x)=1681
(18x)4=(23)4
(x8x)=23
3x24=2x
x=24.

flag
Suggest Corrections
thumbs-up
4
Join BYJU'S Learning Program
similar_icon
Related Videos
thumbnail
lock
Cel & Mia at Wonderla
MATHEMATICS
Watch in App
Join BYJU'S Learning Program
CrossIcon