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CAT 1996 — QA Question 24

AlligationEasy
Passage / Data

Direction: Answer the questions based on the following information.

A salesman enters the quantity sold and the price into the computer. Both the numbers are two-digit numbers. But, by mistake, both the numbers were entered with their digits interchanged. The total sales value remained the same, i.e. Rs. 1,148, but the inventory reduced by 54.

Two liquids A and B are in the ratio 5 : 1 in container 1 and 1 : 3 in container 2. In what ratio should the contents of the two containers be mixed so as to obtain a mixture of A and B in the ratio 1 : 1?

Answer & solution

  • A

    2 : 3

  • B

    4 : 3

  • C

    3 : 2

  • 3 : 4

Solution

We can solve this by alligation. But while we alligate, we have to be careful that it has to be done with respect to any one of the two liquids, viz. either A or B. We can verify that in both cases, we get the same result. e.g. the proportion of A in the first vessel is 56 and that in the second vessel is 14, and we finally require 12 parts of
A. Similarly, the proportion of B in the first vessel is 16, that in the second vessel is 34 and finally we want it to be 12. With respect to liquid A

With respect to liquid B

CAT 1996 QA Q24: Two liquids A and B are in the ratio 5 : 1 in container 1 and 1 : 3 in container 2. In what ratio should the c — Solution | TheCATExam