CAT 2018 Slot 2 — QA Question 13
AlligationEasy
There are two drums, each containing a mixture of paints A and B. In drum 1, A and B are in the ratio 18 : 7. The mixtures from drums 1 and 2 are mixed in the ratio 3 : 4 and in this final mixture, A and B are in the ratio 13 : 7. In drum 2, then A and B were in the ratio
Answer & solution
- A
220 : 149
- B
251 : 163
- C
229 : 141
239 : 161
Solution
Suppose the mixture from drum 1 = 300x litres and the mixture from drum 2 = 400x litres. Therefore, we have the following
âââââââ
Therefore the volume of Paint A in Drum B = 455x – 216x = 239x and the volume of Paint B in Drum B = 245x − 84x = 161x.
Therefore the required ratio is 239 : 161.
Hence, option (d).