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Ratio, Proportion and Variation

SSC CGL Tier II Quant. Try each one first, then open its answer.

Top 10 SSC CGL Tier II PYQs to practise first

The questions and kinds of question asked most often come first. Each one says how often and in which papers.

  1. Question 1

    This type asked 3 times: 15 Nov 2020 Tier II, 8 Aug 2022 Tier II, 18 Jan 2026 Tier II. This one: 18 Jan 2026 Tier II See all 3 of this type

    16
    A, B, and C invest in a business in the ratio 2:3:5. After 4 months, A increases his capital by 50%, B decreases his capital by 13\frac{1}{3}, and C leaves the capital unchanged. At the end of the year, if the total profit is Rs. 33,000, find the share of B.

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  2. Question 2

    This type asked 3 times: 3 Mar 2023 Tier II, 18 Jan 2025 Tier II, 18 Jan 2026 Tier II. This one: 18 Jan 2026 Tier II See all 3 of this type

    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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  3. Question 3

    This type asked 3 times: 15 Nov 2020 Tier II, 3 Feb 2022 Tier II, 18 Jan 2025 Tier II. This one: 18 Jan 2025 Tier II See all 3 of this type

    25
    Vessel A contains milk and water in the ratio 4:54 : 5. Vessel B contains milk and water in the ratio 2:12 : 1. If x litres mixture of A is mixed with y litres mixture of B, then the ratio of milk to water in the mixture becomes 8:58 : 5. Find the ratio x:yx : y.

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  4. Question 4

    This type asked 3 times: 29 Jan 2022 Tier II, 2 Mar 2023 Tier II, 6 Mar 2023 Tier II. This one: 6 Mar 2023 Tier II See all 3 of this type

    7
    A, B and C invested capital in the ratio of 3 : 4 : 8. At the end of the business term, they received the profit in the ratio of 2 : 3 : 5. What is the ratio of their invested time?

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  5. Question 5

    Asked 2 times: 15 Nov 2020 Tier II*, 7 Mar 2023 Tier II (* = numbers or wording changed that year) See all 2 times it was asked

    22
    How many kilogram of rice costing Rs.60 per kg must be mixed with 24 kg of rice costing Rs.42 per kg so that there may be a gain of 12% by selling the mixture at Rs.56 per kg?

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  6. Question 6

    This type asked 2 times: 26 Oct 2023 Tier II, 20 Jan 2025 Tier II. This one: 20 Jan 2025 Tier II See all 2 of this type

    20
    If a : b = 2 : 3, b : c = 5 : 7, then find the ratio c : a.

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  7. Question 7

    This type asked 2 times: 29 Jan 2022 Tier II, 7 Mar 2023 Tier II. This one: 7 Mar 2023 Tier II See all 2 of this type

    28
    A starts a business with ₹75,000 and B joins the business 5 months later with an investment of ₹80,000. After 1 year, they earn a profit of ₹4,08,800. Find the share of A and B (in ₹).

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  8. Question 8

    This type asked 2 times: 8 Aug 2022 Tier II, 6 Mar 2023 Tier II. This one: 6 Mar 2023 Tier II See all 2 of this type

    2
    If 80 litres of milk solution has 60% milk in it, then how much milk should be added to make milk 80% in the solution?

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  9. Question 9

    This type asked 2 times: 8 Aug 2022 Tier II, 3 Mar 2023 Tier II. This one: 3 Mar 2023 Tier II See all 2 of this type

    8
    Suresh, Dinesh and Ramesh became partners in a business by investing money in the ratio of 3 : 6 : 8. If their investments is increased by 5%, 15% and 20%, respectively, then what will be the ratio of their profits for one year?

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  10. Question 10

    This type asked 2 times: 8 Aug 2022 Tier II, 2 Mar 2023 Tier II. This one: 2 Mar 2023 Tier II See all 2 of this type

    24
    40 litres of milk are kept in a container. 4 litres of milk were removed from this container and replaced with water. This procedure was performed two more times. How much milk does the container now hold?

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