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
[This Question was asked as TITA]

• A. 800
• B. 650
• C. 970
• D. 680

Answer 1

The Correct Option is A

The given ratios indicate that Amal to Sunil is 3:2 and Sunil to Mita is 4:5. 
To determine the ratio of shares for all three individuals, let's multiply the ratios:

For Amal, Sunil, and Mita: \((3 \times 4) : (2 \times 4) : (2 \times 5) = 12 : 8 : 10\)

Thus, the ratio of shares of Anil, Sunil, and Mita is indeed  \(6: 4: 5\)
∴ Sunil's share \(= 400×\frac 42 = 800\)

So, the correct option is (A): \(800\)