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

Answer 1

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 $6: 4: 5$

∴ Sunil's share = $400×\frac{4}{2} = 800$