IPMAT Indore 2022 - QA (MCQ) Q30 Explanation

Explanation:

(a)

After adding 100 ml. of apple juice to the bowl containing 60 ml. orange juice & 40 ml water, % orange juice in 200 ml fruit punch = 60/200 × 100 = 30%

(Madhu drinks 50 ml. from this 200 ml fruit punch. This will not change the percentage of orange juice in the remaining 150 ml fruit punch. It will remain 30%) Let say in order to increase the taste Madhu adds ‘x’ ml of pure orange juice (100%) in this 150 ml of remaining fruit punch so as to make percentage of orange juice equal to 50%.

Applying the rule of alligation, we get

The ratio in which remaining fruit punch & pure orange juice should be mixed is 50 : 20 or 5 : 2

∴ 150/x = 5/2

⇒ x = 60 ml.