IPMAT Indore 2021 (MCQ) PYQs

Ashok started a business with a certain investment. After a few months, Bharat joined him investing half the amount of Ashok's initial investment. At the end of the first year, the total profit was divided between them in the ratio $3:1$. Bharat joined Ashok after

Let $a, b, c, d$ be positive integers such that $a + b + c + d = 2023$. If $a: b = 2:5$ and $c:d=5:2$, then the maximum possible value of $a + c$ is

$\dfrac{(a + b)}{(b + c)} = \dfrac{(c + d)}{(d + a)}$ which of the following statements is always true?