A vessel contains a solution of two liquids A and B in the ratio 5 : 3. When 10 litres of the solution is taken out and replaced by the same quantity of B, the ratio of A and B in the vessel becomes 10 : 11. The quantity (in litres) of the solution, in the vessel was ______.
Answer & explanation
Correct answer: option 1
The ratio of two liquids
A : B = 5 : 3 or 10 : 6,
⇒ A : B
Initial 10 : 6
After 10 : 11
⇒ After B - Initial B = 10 litres,
⇒ (11 - 6)x = 10L
⇒ 5x = 10L
⇒ x = 2,
Hence quantity of solution in vessel = (10 + 11) x 2 = 21 x 2 = 42 litres,