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Divide a total in a given ratio: a share or a difference of shares

This type of question, asked 5 times: 17 Jul 2023 S2, 24 Jul 2023 S4, 12 Sep 2024 S1, 15 Sep 2025 S3, 21 Sep 2025 S2. All 5 questions below, oldest first.

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  1. Question 1

    17 Jul 2023 S2

    62
    In a bag containing red, green and blue pens, the ratio of red, blue and green pens, in the given order, was 7 : 4 : 9. If the total number of pens in the bag was 320, how many of them were red?

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  2. Question 2

    24 Jul 2023 S4

    73
    A pole is 9030 cm long. It is colored saffron, white and green in the ratio of 6:7:8. Find the length of the green part of the pole.

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  3. Question 3

    12 Sep 2024 S1

    65
    Raj divides ₹1,200 in the ratio 2:1:32 : 1 : 3 among three of his friends. The amount equal to the sum of three times the largest share and two times the smallest share is:

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  4. Question 4

    15 Sep 2025 S3

    52
    A ₹36,000 annual bonus is distributed among Sales, Marketing, and Operations in a 4:5:3 ratio. Marketing uses ₹3,000 for team building and ₹1,500 for an intern, then allocates the rest to two top performers in a 5:4 ratio. How much does the top performer with the smaller share receive?

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  5. Question 5

    21 Sep 2025 S2

    58
    Three friends share a winning prize in the ratio 2:3:4. If the total prize is Rs. 9000, how much more does the person with the highest share get than the lowest?

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