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
Explanation:
Let the amount received by them be a, s and m respectively.
Given, a : s = 3 : 2 and s : m = 4 : 5
∴ a : s : m = 6 : 4 : 5
⇒ Amal’s share = 6x and Sunil’s share = 4x.
Given, difference between the largest and the smallest of these three shares is Rs 400.
⇒ 6x – 4x = 400
⇒ x = 200.
∴ Sunil’s share = 4x = Rs. 800.
Hence, 800.
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