A can full of a mixture of two liquids A and B in the ratio of 7 : 5. When 9 liters of mixture are drawn off from the can and replaced by the same quantity of liquid B, the ratio of A and B in the can becomes 7 : 9. The capacity of the can is:
Answer & explanation
Correct answer: option 4
Initial ratio of A and B = 7 : 5
After drawn, ratio of A and B = 7 : 5 ............(i)
After adding B, new Ratio of A and B = 7 : 9 ............(ii)
Here,
From (i) and (ii), we can see that,
Ratio of liquid B increase = 9 - 5 = 4R (Due to addition of 9 ltr)
Therefore, 4R = 9
Final quantity = 16R = 4 × 9 = 36 liters. [from equation (ii)]
*The last total quantity and the initial total quantity will be same.*
Hence, Initial qty. = 36 ltr = Capacity of the can