Question

From a container of wine, a thief has stolen 15 litres of wine and replaced it with same quantity of water. He again repeated the same process. Thus, in three attempts the ratio of wine and water became 343 : 169. The initial amount of wine in the container was:
A) 75 litres
B) 100 litres
C) 150 litres
D) 120 litres

Answer 1

Answer:

The methods to do such questions are quite fixed. You must take hint from questions.

Since the final ratio of wine and water is given as 343:169, so lets take the total solution to be 343 + 169 = 512

So, final ration of

Total solution : wine = 512 : 343

Therefore, initially, total solution : wine = ∛512 : ∛343

that is 8:7

So the total solution was 8 and wine was 7.

therefore, 8-7 = 1

1 part was stolen.

Here, 1 corresponds to 15

Therefore, initially 15 * 7 = 120 liters was present.

Therefore, initially, 120 liters of wine was present.

So, the answer is option D).