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One lot sold in parts at different rates or profit percents: overall profit or price for the rest

This type of question, asked 5 times: 25 Jul 2023 S1, 25 Jul 2023 S4, 18 Sep 2024 S1, 25 Sep 2024 S1, 24 Sep 2025 S3. All 5 questions below, oldest first.

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  1. Question 1

    25 Jul 2023 S1

    56
    A shopkeeper bought certain number of apples for Rs.3,600. He sold one-fifth of them at a loss of 10%10\%, one-fourth of the remaining apples at a loss of 5%5\%, and two-third of the rest at a profit of 15%15\%. At what price (in Rs.) should he sell the remaining apples to earn a profit of 27%27\% overall?

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  2. Question 2

    25 Jul 2023 S4

    63
    A shopkeeper purchased 1600 mangos at the rate of ₹120 per dozen. Out of these, he sold 900 mangoes at ₹15 per mango and the remaining mangoes at ₹14 per mango. His gain percentage is:

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  3. Question 3

    18 Sep 2024 S1

    72
    A shopkeeper sold 58\frac{5}{8} of his articles at a gain of 20% and the remaining at the cost price. What is his gain percentage in the whole transaction?

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  4. Question 4

    25 Sep 2024 S1

    58
    Ramesh purchased 130 books at the rate of ₹200 each and sold half of them at the rate of ₹300 each, one-fifth of them at the rate of ₹350 each and the rest at the cost price. Find his profit percentage.

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  5. Question 5

    24 Sep 2025 S3

    62
    A shopkeeper bought 100 pens at Rs 10 each. He sold 60 pens at 20%20\% profit and the rest at 10%10\% loss. What is the overall profit or loss percentage?

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