IPMAT Rohtak 2019 (QA) PYQs

A merchant made two types of mixed oils P & Q with three different types of oils, X, Y and Z in the ratios 3:2:5 and 4:3:3 respectively with the costs of each litre of X, Y and Z being ₹120, ₹125 and ₹150 respectively. How much profit will the merchant make if he sells 100 litres each of P and Q at the same rate of ₹136 per litre?

In a room, there are $n$ persons whose average height is $160 \ \text{cm}$. If $m$ more persons, whose average height is $172 \ \text{cm}$, enter the room, then the average height of all persons in the room becomes $164 \ \text{cm}$. Then $m: n$ is

A mixture of alcohol and water contains 35% alcohol by weight. if 25 g water is added to such a mixture of 100 g, then the percentage of alcohol in the mixture is