Share Split Ratio

CAT 2020 Slot 2 · QA · Easy · Arithmetic

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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

800

Explanation

Amal : Sunil = 3 : 2 = 6 : 4. Sunil : Mita = 4 : 5. So, Amal : Sunil : Mita = 6 : 4 : 5. Let shares be 6x,4x,5x6x, 4x, 5x. Largest share = 6x6x, smallest share = 4x4x. Difference =6x−4x=2x=400  ⟹  x=200= 6x - 4x = 2x = 400 \implies x = 200. Sunil's share =4x=4(200)=800= 4x = 4(200) = 800.

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