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Divide a sum in a given ratio: find a share from the total or from a difference of shares

This type of question, asked 3 times: 3 Mar 2023 Tier II, 18 Jan 2025 Tier II, 18 Jan 2026 Tier II. All 3 questions below, oldest first.

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  1. Question 1

    3 Mar 2023 Tier II

    9
    The ratio of marks obtained by Rajesh, Rakesh and Ramesh in an exam is 2 : 4 : 9. What are the marks obtained by Rakesh and Ramesh, if Rajesh scored 30 marks in the exam?

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  2. Question 2

    18 Jan 2025 Tier II

    16
    A sum of money is to be distributed among 3 friends P, Q and R in the proportion of 5:3:45 : 3 : 4 . If P gets₹1,500 more than R, what is Q's share?

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  3. Question 3

    18 Jan 2026 Tier II

    28
    A sum of Rs. 4800 is divided among A, B, and C in the ratio 3:4:53 : 4 : 5. The share of B is how much more than that of A?

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