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Ratio with one part, the difference or the largest part known: find another quantity

This type of question, asked 6 times: 14 Jul 2023 S4, 26 Jul 2023 S2, 11 Sep 2024 S1, 24 Sep 2024 S3, 20 Sep 2025 S1, 22 Sep 2025 S1. All 6 questions below, oldest first.

Try each one first, then open its answer.

  1. Question 1

    14 Jul 2023 S4

    52
    The ratio of the number of boys to that of the girls in a school is 11:1511 : 15. If there are 200 more girls than boys in the school, what is the number of boys in that school?

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  2. Question 2

    26 Jul 2023 S2

    51
    The ratio of the number of boys in a school to the total number of boys and girls in that school is 7:177 : 17. If the number of boys in that school is 1099, then how many girls are there in that school?

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  3. Question 3

    11 Sep 2024 S1

    75
    A sum of money is divided among P, Q, R and S in the proportion of 4:9:2:34 : 9 : 2 : 3. If Q gets ₹560 more than R, then the share of S is:

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  4. Question 4

    24 Sep 2024 S3

    63
    The ratio of two numbers is 2 : 5 and their difference is 210. The smaller number is ____________.

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  5. Question 5

    20 Sep 2025 S1

    60
    A ribbon is cut into three pieces in the ratio 2:3:52:3:5. If the length of the longest piece is 20 cm, what is the total length of the ribbon?

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  6. Question 6

    22 Sep 2025 S1

    57
    Two numbers are in the ratio 6:5. If the difference between them is 11, find the numbers.

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