# CAT 2020 Quant Question [Slot 2] with Solution 12

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 largest and the smallest of these three shares is Rs 400, then Sunil’s share, in rupees, is

Option: 800
Solution:

Given ratio of shares of Amal and Sunil is 3: 2

Also the ratio of shares of Sunil and Mita is 4: 5 .

Hence the ratio of shares of Anil, Sunil and Mita is 6: 4: 5

$\therefore$ Sunil's share $= \frac{{400 \times 4}}{2} = 800$

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