From a container of wine, a thief has stolen 15 liters 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 liters
• B. 100 liters
• C. 120 liters
• D. 150 liters

Answer: (C)

W i n e   ( l e f t ) W a t e r   ( a d d e d ) = 343 169   It means    W i n e   ( l e f t ) W i n e ( i n i t i a l   a m o u n t ) = 343 512    ?   343 + 169   =   512   Thus ,        343 x = 512 x 1 - 15 K 3     ? 343 512 = 7 8 3 = 1 - 15 k 3   => K = 120 Thus the initial amount of wine was 120 liters.