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    a shopkeeper sells one-third of his articles at 25% profit, one-fourth of the remaining articles at 40% loss, and the remaining articles at a profit equal to the cost price of 13 articles. what is his profit percentage in the entire transaction?

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    Click here👆to get an answer to your question ✍️ A shopkeeper sells one - third of his goods at a profit of 10

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    A shopkeeper sells one-third of his goods at a profit of 10%, another one-third at a profit of 20%, and the rest at a loss of 6%.What is his overall profit percentage ?

    Medium Open in App Solution Verified by Toppr

    Let the shopkeeper buy 300 g for Rs 300.

    He sells 100 g for Rs 110.

    another 100 g for Rs 120

    and the rest 100 g for Rs 94.

    ∴ Total amount he receives = Rs 100+Rs 120+Rs 94 = Rs 324

    ∴ the shopkeeper spends rs 300 and gets back Rs 324.

    ∴ profit % = 300 324−300 ​ ×100% = 300 24 ​ ×100%=8%

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    [Solved] A merchant sells 1/3rd of his articles at 25% profit, 1/4th&

    Let total number of article be 300. and CP for each article be Rs.1x Given that, A merchant sells 1/3rd of his articles at 25% profit, ∴ 100 article f

    Home Quantitative Aptitude Profit and Loss Discount and MP

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    A merchant sells 1/3rd of his articles at 25% profit, 1/4th of his articles at 20% profit and rest of his articles at 20% loss. If overall profit is Rs. 138 then find the cost price of all articles.

    Rs. 2750 Rs. 2760 Rs. 2770 Rs. 2720

    Answer (Detailed Solution Below)

    Option 2 : Rs. 2760

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    Detailed Solution

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    Let total number of article be 300. and CP for each article be Rs.1x

    Given that,

    A merchant sells 1/3rd of his articles at 25% profit,

    ∴ 100 article for Rs. 125x.

    1/4th of his articles at 20% profit

    ∴ 75 articles for Rs. 90x

    rest of his articles at 20% loss

    remaining 125 articles for Rs.100x

    Total sp = 125x + 90x + 100x = 315x

    As we know CP for 300 article was 300x

    profit was of Rs. 15x

    ∴ 15x = 138 ⇒ 9.2

    required CP = 300x ⇒ 300 × 9.2 = 2760

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    स्रोत : testbook.com

    A man sold one fourth of goods at loss of 25%. At what gain should he sell the rest to gain a profit of 20% on the whole?

    Answer (1 of 4): Lets assume the man has 4 products worth 100 each So the Total cost of 4 products is 400 Now he needs to make an overall gain of 20% hence he should sell all his items at 480. But he sells 25% of his goods at 25% loss ie he sold 1 good at 75 now he needs to make up the loss of...

    A man sold one fourth of goods at loss of 25%. At what gain should he sell the rest to gain a profit of 20% on the whole?

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    Sort Ankith Sonthalia

    MBA in Marketing & Finance, SDM Institute for Management Development (Graduated 2013)4y

    Lets assume the man has 4 products worth 100 each

    So the Total cost of 4 products is 400

    Now he needs to make an overall gain of 20% hence he should sell all his items at 480.

    But he sells 25% of his goods at 25% loss ie he sold 1 good at 75 now he needs to make up the loss of 25 n also 80 of profit from the 3 items remaining

    So 80+25 is 105

    So he needs to make a profit of 105 from the remining 3 items or the 75% of his goods

    hence 105(profit required) divided by 300( cost of goods) miltiplied by 100 gives the result of 35%

    So the man needs to sell the rest of the items at 35% gain.

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    Example if you have Rs 100 and sell goods at 25 percent lesss comes to be Rs 75 . Now if you add 60 percent to balance 75 then whole will become 120 or say 20 percwnt on whole

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    Uma Subramanian

    Studied at Mumbai, Maharashtra, India (Graduated 1977)Author has 2.9K answers and 2.1M answer views3y

    On 100% of goods gain should be 20%. Hence SP should be 120.

    25% was sold at a loss of 25%. Therefore its SP is 25×75/100 or 75/4 (18.75)

    To gain 20% profit it should have been sold at

    25× 120/100 or Rs.30/-

    Shortfall = 30 - 18.75 or 45/4.

    Remaining 75% of the goods should be sold at

    Rs. 90 (120% of 75) + 45/4 or 405/4 = 101.25.

    SP 101.25 - CP 75 = 26.25 Profit

    Gain = 26.25÷75 ×100 = 35 %

    It can be cross checked like this:

    25% goods sold at 18.75

    75% goods sold at 101.25

    Total goods sold at 120. Hence overall profit 20%.

    Vasudevan A.N.S.

    Former Retired Professor of Chemistry. (1977–2014)Author has 7.8K answers and 9.1M answer views2y

    (¼S 0.75) + (¾ S x G)= 1.2S

    So G= (1.2S - ¼S)÷¾S = (1.2–0.1875)/0.75

    G = 1.0125/0.75= 1.35

    Therefore the rest of the (¾- or 75%) Goods should be sold at a profit of 35%

    Sumit Kumar

    Lived in Mumbai, Maharashtra, IndiaUpvoted by

    Nilesh Mundale

    , MBA Marketing & Investing, Bharti Vidyapeeth Institute of Management Studies and Reserch (2007)3y

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