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Marked price after discount d% equals cost plus profit p%: find the cost, marked price, their ratio, the markup or the discount

This type of question, asked 16 times: 14 Jul 2023 S1, 18 Jul 2023 S3, 19 Jul 2023 S1, 19 Jul 2023 S2, 20 Jul 2023 S4, 21 Jul 2023 S3, 24 Jul 2023 S4, 9 Sep 2024 S1, 10 Sep 2024 S3, 19 Sep 2024 S2, 13 Sep 2025 S3, 16 Sep 2025 S1, 18 Sep 2025 S1, 19 Sep 2025 S2, 23 Sep 2025 S1, 24 Sep 2025 S1. All 17 questions below, oldest first.

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  1. Question 1

    14 Jul 2023 S1

    52
    The marked price of mustard oil is 25% more than its cost price. At what percentage less than the marked price should it be sold to have no profit and no loss?

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  2. Question 2

    18 Jul 2023 S3

    63
    The marked price of a ceiling fan is ₹4,200 and the shopkeeper allows a discount of 5% on it. If his profit is 14%, then the cost price of the fan is:

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  3. Question 3

    19 Jul 2023 S1

    75
    A dealer purchased a washing machine for ₹9,000. He allows a discount of 10% on its marked price and still gains 10%. Find the marked price of the machine.

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  4. Question 4

    19 Jul 2023 S2

    65
    A shopkeeper allows a discount of 10% on the printed price of his goods and thus gains 20%. What is the ratio between the cost price and the printed price of the item?

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  5. Question 5

    19 Jul 2023 S2

    55
    A saree bought for ₹500 is marked at 16% profit and later on sold at a sales discount of x% on the marked price. If the selling price of the saree is ₹493, find the value of x.

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  6. Question 6

    20 Jul 2023 S4

    71
    A dealer's cost price for each fan he would like to sell is ₹2,000. After allowing a discount of 20%20\% on its marked price, he gains 20%20\%. His marked price of the fan is:

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  7. Question 7

    21 Jul 2023 S3

    73
    A shopkeeper marks his goods in such a way that after allowing a discount of 22% he gains 20%. If the cost price of the article is ₹650, then its marked price is:

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  8. Question 8

    24 Jul 2023 S4

    69
    A person marks his goods x% above the cost price and allows a discount of 12% on the marked price. If his profit is 10%, then the difference between x% and the profit percentage is:

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  9. Question 9

    9 Sep 2024 S1

    63
    An article is marked at ₹550550. If it is sold at a discount of 40%40\%, then the selling price becomes 10%10\% more than its cost price. What is the cost price (in ₹)?

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  10. Question 10

    10 Sep 2024 S3

    73
    A shopkeeper allows a discount of 20%20\% on the marked price of an item and thus gains 10%10\%. What is the ratio of the cost price to the marked price of the item?

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  11. Question 11

    19 Sep 2024 S2

    57
    An article marked for ₹275 is sold at 5% discount. The seller still gains 4.5%. What did he pay for it?

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  12. Question 12

    13 Sep 2025 S3

    66
    An article is marked at ₹800. A shop owner allows a discount of 12%12\% and still gains 8%8\%. What is the approximate cost price of the article?

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  13. Question 13

    16 Sep 2025 S1

    62
    A manufacturer marked a product 30% above its cost price. He provided a discount to a customer, which resulted in him making a profit of 17%. What was the rate of discount given by the manufacturer?

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  14. Question 14

    18 Sep 2025 S1

    55
    A shopkeeper marked a watch at ₹800. He sold it after allowing a 15%15\% discount. If his profit on the sale was 20%20\%, what was the cost price of the watch?

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  15. Question 15

    19 Sep 2025 S2

    56
    Having initially established the marked price of a particular commodity at a 20%20\% premium over its cost price, a retail vendor subsequently extended an unspecified discount. If, following this concession, the transaction ultimately yielded a profit of 8%8\% on the cost price, what was the exact percentage of the discount given?

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  16. Question 16

    23 Sep 2025 S1

    65
    A seller offers a 40%40\% discount on an item whose cost price is Rs. 720. Despite the discount, the seller earns a profit of 20%20\%. What must be the marked price?

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  17. Question 17

    24 Sep 2025 S1

    63
    A trader gave a 20%20\% discount on the market price but still earned a 10%10\% profit. What percentage was the market price above the cost price?

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