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Final price after a chain of percentage changes (markups, discounts, resales, growth) given: work back to the original

This type of question, asked 11 times: 17 Jul 2023 S2, 25 Jul 2023 S3, 25 Jul 2023 S4, 27 Jul 2023 S1, 12 Sep 2025 S1, 13 Sep 2025 S2, 14 Sep 2025 S1, 19 Sep 2025 S3, 21 Sep 2025 S2, 21 Sep 2025 S3, 24 Sep 2025 S2. All 11 questions below, oldest first.

Try each one first, then open its answer.

  1. Question 1

    17 Jul 2023 S2

    75
    Ram sells a suitcase to Mohan at a 20% profit. Mohan sells it to Shyam at a 40% profit. If Shyam pays ₹1,430 for it, then the price at which Ram bought it is:

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  2. Question 2

    25 Jul 2023 S3

    59
    The cost price of an article is decreased by 10% and then increased by 20%. If the final price is ₹540, then the original cost price is:

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  3. Question 3

    25 Jul 2023 S4

    60
    Tarun owned a plot of land having an area that was 10%10\% more than the area of the plot owned by Basab, while the area of the plot of land owned by Nakul was 40%40\% more than the area of the plot owned by Tarun. If the area of the plot owned by Nakul was 2695 square feet, what was the area (in square feet) of the plot owned by Basab?

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  4. Question 4

    27 Jul 2023 S1

    69
    A shopkeeper gives a 12% additional discount on the discounted price, after giving an initial discount of 25% on the labelled price of a radio. If the final selling price of the radio is ₹792, then what is its labelled price (in ₹)?

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  5. Question 5

    12 Sep 2025 S1

    64
    A retailer marks an air conditioner 80%80\% above its cost price. He offers a first discount of 25%25\% on the marked price. During a festive offer, an additional discount of 10%10\% is applied on the already discounted price. If the final selling price is ₹15,552, what is the approximate cost price of the air conditioner?"

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  6. Question 6

    13 Sep 2025 S2

    65
    A wholesaler buys a batch of ceiling fans at a 50%50\% markup over the factory's base cost ₹C. He then allows a 20%20\% trade discount to the retailer. The retailer applies a 40%40\% markup on his cost and offers a flat 10%10\% discount to customers on the printed price. If a customer finally pays ₹18,144, what is the original base cost (₹C) of one ceiling fan from the factory?

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  7. Question 7

    14 Sep 2025 S1

    63
    A wholesaler marks up the price of a microwave oven by 60%60\% above its cost price. He gives a 15%15\% trade discount to a retailer. The retailer, in turn, marks up the price by 25%25\% above his purchase price and offers a 10%10\% festival discount to the customer. If the customer finally pays ₹14,490 for the microwave, what is the original approximate cost price of the oven to the wholesaler?

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  8. Question 8

    19 Sep 2025 S3

    54
    A trader marked an article 40%40\% above its cost price. He then allowed a discount of 20%20\% on the marked price. If the selling price of the article was ₹560, what was its cost price?

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  9. Question 9

    21 Sep 2025 S2

    60
    The population of a village increases by 8%8\% annually. If the current population is 58,320, what was it two years ago (approx)?

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  10. Question 10

    21 Sep 2025 S3

    63
    A wholesaler sells a packet of tea to a retailer at a profit of 20%. The retailer then marks up the price by 50% and offers a discount of 20% to the customer. If the customer pays Rs. 480, find the cost price of the packet for the wholesaler.

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  11. Question 11

    24 Sep 2025 S2

    66
    A wholesaler marks up a batch of 100 identical clocks by 80%80\% on cost and offers a trade discount of 25%25\% to retailers. A retailer purchases all the clocks and spends Rs. 48,000. What is the cost price per clock for the wholesaler?

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