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Profit, Loss and Discount Test - 7

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Profit, Loss and Discount Test - 7
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  • Question 1
    1 / -0

    C.P. = ₹ 45and S.P. = ₹ 40, gain or loss percent=?

    Solution

    C.P. = ₹ 45and S.P. = ₹ 40

    We know that

    Loss = C.P. – S.P.

    So we get

    = 45– 40

    = ₹ 5

    So we get

    Loss percent = (loss × 100)/ C.P.

    Substituting the values

    = (5 × 100)/ 45

    = 100/9

    = 11(1/9)%

  • Question 2
    1 / -0

    The selling price of an article is ₹ 1700 and costprice is 2000.
    Find:profit or loss as percent.

    Solution

    Loss = C.P – S.P

    Substituting the values

    = 2000 – 1700

    = ₹ 300

    Loss percent = (loss × 100)/ C.P

    Substituting the values

    = (300 × 100)/ 2000

    So we get

    = 30/2

    = 15%

  • Question 3
    1 / -0

    S.P. = ₹ 50 and loss = ₹ 10,gainorlosspercent = ?

    Solution

    S.P. = ₹ 50 and loss = ₹ 10

    We know that

    C.P. = S.P. + loss

    So we get

    = 50 + 10

    = ₹ 60

    So we get

    Loss percent = (loss × 100)/ C.P.

    Substituting the values

    = (10 × 100)/ 60

    = 50/3

    = 16 (2/3) %

  • Question 4
    1 / -0

    C.P. = ₹ 2000 and S.P. = ₹ 2240,gain or loss percent=?

    Solution

    C.P. = ₹ 2000 and S.P. = ₹ 2240

    We know that

    Gain = S.P. – C.P.

    So we get

    = 2240 – 2000

    = ₹ 240

    So we get

    Gain percent = (gain × 100)/ C.P.

    Substituting the values

    = (240 × 100)/ 2000

    = 12%

  • Question 5
    1 / -0

    A vendor bought 120 sweets at 20 p each. Inhis house, 18 were consumed and he sold the remaining at 30p each. Find hisprofit or loss as percent.

    Solution

    No. of sweets bought = 120

    C.P of 120 sweets = (120 × 20)/ 100 = ₹ 24

    No. of sweets consumed = 18

    So the balance sweets = 120 – 18 = 102

    S.P of 102 sweets = (102 × 30)/ 100 = ₹ 30.60

    Gain = S.P – C.P

    Substituting the values

    = 30.60 – 24

    = ₹ 6.60

    Gain percent = (gain × 100)/ C.P

    Substituting the values

    = (6.60 × 100)/ 24

    Multiplying both numerator and denominator by 100

    = (660 × 100)/ (100 × 24)

    = 55/2

    = 27.5%

  • Question 6
    1 / -0

    Nandu bought a gamefor ₹ 1,50and sold it for ₹ 1,80. Calculate his profit orloss percent.

    Solution

    It is given that

    C.P of game = ₹ 1,50

    S.P of game = ₹ 1,80

    We know that

    Gain = S.P – C. P

    = 180 – 150

    = ₹ 30

    Gain percent = (Gain × 100)/ C.P

    Substituting the values

    = (30 × 100)/ 150

    = 20%

  • Question 7
    1 / -0

    C.P. = ₹ 5500 and gain = ₹ 220, gainorlosspercent  = ?

    Solution

    C.P. = ₹ 5500 and gain = ₹ 220

    We know that

    S.P. = C.P. + gain

    So we get

    = 5500 + 220

    = ₹ 5720

    So we get

    Gain percent = (gain × 100)/ C.P.

    Substituting the values

    = (220 × 100)/ 5500

    = 4%

  • Question 8
    1 / -0

    Lemonsare bought at 3 for ₹ 15and all of them are soldat 4 for ₹ 18. Find the loss or gain as percent.

    Solution

    We know that

    LCM of 3 and 4 = 12

    Consider that 12 lemons are bought

    So the C.P of 12 lemons = (15 × 12)/ 3 = ₹ 60

    S.P of 12 lemons = (18 × 12)/ 4 = ₹ 54

    Loss = C.P – S.P

    Substituting the values

    = 60 – 54

    = ₹ 6

    Loss percent = (loss × 100)/ C.P

    Substituting the values

    = (6 × 100)/ 60

    = 10%

  • Question 9
    1 / -0

    Atoy is bought for ₹ 1,40and is sold at a loss of 15%. Find its selling price.

    Solution

    It is given that

    C.P. of the toy = ₹ 1,40

    Loss percent = 15%

    We know that

    S.P = [C.P (100 – loss percent)]/ 100

    Substituting the values

    = [140 (100 – 15)]/ 100

    By further calculation

    = (140 × 85)/ 100

    = ₹ 119

  • Question 10
    1 / -0

    The selling price of sweet is ₹ 1,20 and cost price is 5/4 times of its selling price.

    Find:cost price of the sweet 

    Solution

    S.P of an sweet = ₹ 1,20

    We know that

    C.P = 5/4 of S.P

    Substituting the values

    = 5/4 × 120

    = ₹ 150

  • Question 11
    1 / -0

    By selling a cyclefor ₹ 8100,a loss of 10 percent is suffered. Find itscost price.

    Solution

    It is given that

    S.P of = ₹ 8100

    Loss percent = 10 %

    We know that

    C.P. = (S.P. × 100)/ (100 – loss percent)

    Substituting the values

    = (8100 × 100)/ (100 – 10)

    So we get

    = (8100 × 100)/ 90

    = ₹ 9000.

  • Question 12
    1 / -0

    C.P = ₹ 50 and gain = 25%,sellingprice = ?

    Solution

    C.P = ₹ 50 and gain = 25%

    We know that

    S.P. = [C.P. (100 + gain percent)]/ 100

    Substituting the values

    = [50 (100 + 25)]/ 100

    We get

    = (50 × 125)/ 100

    = ₹ 62.5

  • Question 13
    1 / -0

    An article bought for ₹ 700is sold at a profit of 10%. Find its sellingprice.

    Solution

    It is given that

    C.P of an article = ₹ 700

    Profit = 10%

    We know that

    S.P = [C.P (100 + profit percent)]/ 100

    Substituting the values

    = [700 (100 + 10)]/ 100

    So we get

    = (700 × 110)/ 100

    = ₹ 770

  • Question 14
    1 / -0

    Lemonsare bought at 5 for ₹ 10 and sold at 6 for ₹ 15. Find profit or loss aspercent.

    Solution

    We know that

    LCM of 5 and 6 = 30

    Consider that 30 lemons are bought

    So the C.P of 30 lemons = (30 × 10)/ 5 = ₹ 60

    S.P of 30 lemons = (30 × 15)/ 6 = ₹ 75

    Gain = S.P – C.P

    Substituting the values

    = 75 – 60

    = ₹ 15

    Gain percent = (gain × 100)/ C.P

    Substituting the values

    = (15 × 100)/ 60

    = 25%

  • Question 15
    1 / -0

    C.P. = ₹ 60 and loss = 12 ½ %,sellingprice = ?

    Solution

    C.P. = ₹ 60 and loss = 12 ½ %

    We know that

    Loss = 12 ½ % = 25/2%

    Here

    S.P. = [C.P. (100 – Loss percent)]/ 100

    Substituting the values

    = [60 (100 – 25/2)]/ 100

    So we get

    = [60 (200 – 25/ 2)]/ 100

    We can write it as

    = (60 × 175)/ (2 × 100)

    = ₹ 105/2

    = ₹ 52.50

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