Profit and Loss


  1. A, B and C entered into partnership in a business. A got (3 / 5) of the profit and B and C distributed the remaining profit equally. If C got $ 400 less than A, the total profit was









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    Let the total profit be $ x.

    ∴ A ’s share in profit = $
    3x
    5

    B ’s share in profit = $
    x
    5

    and C ’s share in profit = $
    x
    5

    According to the question,

    Correct Option: C

    Let the total profit be $ x.

    ∴ A ’s share in profit = $
    3x
    5

    B ’s share in profit = $
    x
    5

    and C ’s share in profit = $
    x
    5

    According to the question,

    2x
    = 400
    5

    ⇒ x =
    400 × 5
    = $ 1000
    2


  1. A, B and C entered into a partnership. A invested $ 2,560 and B $ 2,000. At the end of the year, they gained $ 1,105, out of which A got $ 320. C’s capital was









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    Given that , Ratio of investment of A : B = 2560 : 2000 = 32 : 25
    Now, A gained = $ 320
    B gained = $ 250
    Total Profit = 110
    ∴ C gained = $ 535
    According to question,

    250
    =
    2000
    535C's Capital

    Correct Option: A

    Given that , Ratio of investment of A : B = 2560 : 2000 = 32 : 25
    Now, A gained = $ 320
    B gained = $ 250
    Total Profit = 110
    ∴ C gained = $ 535
    According to question,

    250
    =
    2000
    535C's Capital

    Hence, C's capital =
    2000 × 535
    = $ 4280
    250



  1. A, B and C are partners of a company. During a particular year A received one-third of the profit, B received one-fourth of the profit and C received the remaining ₹ 5,000. How much did A receive?









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    Let the profit be x .
    According to question,

    or12 - 4 - 3 x = ₹ 5000
    12

    5x
    = ₹ 5000
    12

    ∴ x =
    5000 × 12
    5

    Correct Option: B

    Let the profit be x .
    According to question,

    or12 - 4 - 3 x = ₹ 5000
    12

    5x
    = ₹ 5000
    12

    ∴ x =
    5000 × 12
    5

    1
    =
    5000 × 12
    = ₹ 4000
    35 × 3


  1. A shopkeeper bought 15kg of rice at the rate of $ 29 per kg and 25kg of rice at the rate of $ 20 per kg. He sold the mixture of both types of rice at the rate of $ 27 per kg. His profit in this transaction is









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    Given that , C.P. of 40kg of mixture = $ (15 × 29 + 25 × 20)
    C.P. of 40kg of mixture = $ (435 + 500) = $ 935
    S.P. of 40kg of mixture = 27 × 40 = $ 1080

    Correct Option: D

    Given that , C.P. of 40kg of mixture = $ (15 × 29 + 25 × 20)
    C.P. of 40kg of mixture = $ (435 + 500) = $ 935
    S.P. of 40kg of mixture = 27 × 40 = $ 1080
    ∴ Gain = S.P. of 40kg of mixture - C.P. of 40kg of mixture = 1080 – 935 = $ 145



  1. 7 kg of tea costing $ 280 per kg is mixed with 9 kg of tea costing $ 240 per kg. The average price per kg of the mixed tea is









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    Here , Total price of blended tea = 280 × 7 + 240 × 9 × 100 = 1960 + 2160 = $ 4120
    Total weight of tea = 7 + 9 = 16 kg

    Average price of blended tea =
    Total price of blended tea
    Total weight of tea

    Correct Option: B

    Here , Total price of blended tea = 280 × 7 + 240 × 9 × 100 = 1960 + 2160 = $ 4120
    Total weight of tea = 7 + 9 = 16 kg

    Average price of blended tea =
    Total price of blended tea
    Total weight of tea

    Average price of blended tea =
    4120
    = $ 257.50kg
    16