CAT 2020 Slot 2 QA Question 19: A sum of money is split among Amal, Sunil and Mita so that the ratio of the shares of Amal and Sunil is 3:2, while the ratio of the shares of Sunil and Mita is 4:5. If the difference between the large

Question

A sum of money is split among Amal, Sunil and Mita so that the ratio of the shares of Amal and Sunil is 3:2, while the ratio of the shares of Sunil and Mita is 4:5. If the difference between the large

Accepted Answer

From $	ext{Amal}:	ext{Sunil} = 3:2$ and $	ext{Sunil}:	ext{Mita} = 4:5$, make Sunil’s ratio common.

$	ext{Amal}:	ext{Sunil} = 6:4$
$	ext{Sunil}:	ext{Mita} = 4:5$
$	ext{Amal}:	ext{Sunil}:	ext{Mita} = 6:4:5$

Let the shares be $6k, 4k$ and $5k$.
$6k - 4k = 400$
$2k = 400$
$k = 200$

Sunil’s

A sum of money is split among Amal, Sunil and Mita so that the ratio of the shares of Amal and Sunil is 3:2, while the ratio of the shares of Sunil and Mita is 4:5. If the difference between the largest and the smallest of these three shares is ₹ 400, then Sunil’s share, in rupees, is