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Q.
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
View Answer
Correct choice: D
Explanation:
wine(left)wine(added) = 343169 It means wine(left)wine(initial amount) = 343512 (since 343 + 169 = 512) Thus, 343x = 512x(1 − 15k)3 343512 = (78)3 = (1 − 15k)3 (1−15k)=78=(1−18) Thus the initial amount of wine was 120 liters.
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