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 = \(400×\frac{4}{2} = 800\)

Answer 2

Sunil has four times as much money as Amal has. Mita now has five times.
 ₹400 represents the difference between the greatest and lowest sums. 
This may be stated as 6x - 4x = 400, which can be simplified to 
2x = 400, which will provide 
x = 200. 
Thus, Sunil's total financial holdings are \(200 \times 4 = \text{₹} 800\)