Share Split Ratio
CAT 2020 Slot 2 · Quantitative Ability · Easy · Arithmetic
This is an easy Quantitative Ability question from the CAT 2020 Slot 2 paper. It tests Arithmetic. The full answer key and a step-by-step explanation are below — try it yourself first, then reveal the solution.
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
800
Explanation
Amal : Sunil = 3 : 2 = 6 : 4. Sunil : Mita = 4 : 5. So, Amal : Sunil : Mita = 6 : 4 : 5. Let shares be . Largest share = , smallest share = . Difference . Sunil's share .
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