Question
12 litres are drawn from a cask full of wine and is then
filled with water. This operation is performed one more time. The ratio of the quantity of wine now left in cask to that of the water is 4:5. How much wine the cask hold originally?Solution
Let the quantity of the wine in the cask originally be x litres Then, quantity of wine left in cask after 2 operations = [x {1 - (12/x)}2] litres Therefore, [x {1 - (12/x)}2 /x] = 4/9 [1 - (12/x)}2 ] = (2/3)2 x = 36 Original quantity of cask = 36 litres
More Alligation Questions
- Select the number from among the given options that can replace the question mark (?) in the following series.
17, 18, 22, 31, 47, ___ - Which letter and number cluster will replace the question mark (?) to complete the given series?
LT6, KU12, IW24, FZ48, ____ - A series is given with one term missing. Choose the correct alternatives from the given ones that will complete the series.
57, 59, 56, 61, 54, ___ - Which letter-cluster will replace the question mark (?) in the following series?
RGV, UME, ?, AYW, DEF - Which letter-cluster will replace the question mark (?) in the following series?
NPQR, OORQ, PNSP, ____, RLUN
Relevant for Exams:
