IPMAT Rohtak 2019 (QA) PYQs

Given below are two statements :

Given that $a: b=5: 3$ and $b: c=2: 5$, then ( $c-a$ ) will be equal to

Statement I: $10(a+c)$

Statement II: $10 a+25 b$

In the light of the above statements, choose the correct answer from the options given below :

In a given village there are only three sizes of families: families with 2 members, families with 4 members and families with 6 members. The proportion of families with 2, 4 and 6 members are roughly equal. A poll is conducted in this village wherein a person is chosen at random and asked about his/her family size. The average family size computed by sampling 1000 such persons from the village would be closest to

₹ 11,550 has to be divided between A, B and C such that A gets $\frac{4}{5}$ of what B gets and B gets $\frac{2}{3}$ of what C gets. How much more does C get in comparison to A (in ₹)?