PYQ Vault

Percentage, Profit and Loss

CDS Maths. Try each one first, then open its answer.

Top 10 CDS 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 4 times: CDS 2 2017, CDS 2 2021, CDS 1 2025, CDS 2 2026. This one: CDS 2 2026 See all 4 of this type

    27
    The ratio of the cost price of two articles X and Y is 1 : 2. A businessman earns a profit of p% by selling X and a loss of 3p% by selling Y. If he loses 20% in this transaction, then what is the value of p ?

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  2. Question 2

    This type asked 4 times: CDS 2 2016, CDS 1 2022, CDS 1 2024, CDS 2 2025. This one: CDS 2 2025 See all 4 of this type

    60
    A shopkeeper gives three consecutive discounts 10%10\%, 20%20\% and 25%25\% after which he sells the article at a profit of 8%8\% on the cost price. Had he sold the article after the first discount, how much profit would he have got?

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  3. Question 3

    This type asked 4 times: CDS 2 2017, CDS 1 2018, CDS 1 2023, CDS 2 2024. This one: CDS 2 2024 See all 4 of this type

    65
    A question is given followed by two statements I and II. Consider the Question and the Statements and mark the correct option. Question : If the price of petrol goes up by 20%, by what percentage should the consumption be reduced so that the expenditure remains the same ? Statement-I : Price of petrol per litre was Rs. 90 Statement-II : Consumption was 24 litre before price hike Which one of the following is correct in respect of the above Question and the Statements ?

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  4. Question 4

    This type asked 4 times: CDS 1 2017, CDS 1 2019, CDS 2 2019, CDS 2 2020. This one: CDS 2 2020 See all 4 of this type

    72
    The length of a rectangle is increased by 10% and breadth is decreased by 10%. Then the area of the new rectangle is

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  5. Question 5

    This type asked 3 times: CDS 2 2017, CDS 1 2021, CDS 1 2026. This one: CDS 1 2026 See all 3 of this type

    33
    A single discount which is equivalent to a series of discounts p%p\%, p2%\frac{p}{2}\%, p4%\frac{p}{4}\% is 31.6%. What is the value of p ?

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  6. Question 6

    This type asked 3 times: CDS 2 2019, CDS 1 2020, CDS 1 2021. This one: CDS 1 2021 See all 3 of this type

    37
    XX sells his goods 25% cheaper than YY and 25% dearer than ZZ. How much percentage is ZZ's goods cheaper than YY?

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  7. Question 7

    Asked 2 times: CDS 1 2021*, CDS 1 2024 (* = numbers or wording changed that year) See all 2 times it was asked

    43
    The cost price of y articles is equal to selling price of z articles. If y : z = 5 : 4, what is the profit percentage ?

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  8. Question 8

    Asked 2 times: CDS 1 2018*, CDS 2 2023 (* = numbers or wording changed that year) See all 2 times it was asked

    79
    A person bought an article and sold it at a profit of 20%. Had he bought it at 20% less, what would have been the profit percentage if the selling price had been the same ?

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  9. Question 9

    Asked 2 times: CDS 2 2017*, CDS 2 2021 (* = numbers or wording changed that year) See all 2 times it was asked

    43
    A person bought a chair and a table for Rs. 750. He sold the chair at a gain of 5% and the table at a gain of 20%. He gained 16% on the whole. What is original cost of table ?

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  10. Question 10

    Asked 2 times: CDS 2 2017*, CDS 1 2021 (* = numbers or wording changed that year) See all 2 times it was asked

    31
    A trader gives successive discounts of 20%, 10% and 5% respectively. What is the overall discount?

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