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Profit, Loss and Discount Test 2
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Profit, Loss and Discount Test 2

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  • Question 1/10
    1 / -0

    A sells an article which costs him Rs 400 to B at a profit of 20%. B then sells it to C, making a profit of 10% on the price he paid to A. How much does C pay to B?

    Solutions

    C.P. for B = 120% of Rs 400

    = = Rs 480

    C.P. for C = 110% of Rs 480

    = = Rs 528.

  • Question 2/10
    1 / -0

    The difference between the selling price of a clock at a profit of 8% and 10% is Rs 6. Find the cost price of the clock.

    Solutions

    Let C. P. = Rs x. Then S.P₁ – S.P₂ = Rs 6

    ⇒ 110 x – 108 x = 600

    ⇒ 2x = 600 ⇒ x = Rs 300

  • Question 3/10
    1 / -0

    The price of 2 sarees and 4 shirts is Rs 16000. With the same money one can buy 1 saree and 6 shirts. If one wants to buy 12 shirts, how much shall one have to pay?

    Solutions

    Let the price of one saree and one shirt be Rs x and Rs y respectively.

    Then, 2x + 4y = 1600

    or, x + 2y = 800 … (i)

    Also, x + 6y = 1600 … (ii)

    Solving equations (i) and (ii), we get

    4y = 800 or, y = 200

    ∴ cost of 12 shirts

    = 12 × 200 = Rs 2400

  • Question 4/10
    1 / -0

    A milk man makes a profit of 20% on the sale of milk. If he were to add 10% water to the milk, by what %would his profit increase?

    Solutions

    Let profit per litre = Rs 20

    So, C.P. / litre = Rs 100

    S.P. / litre = Rs 120

    On adding 10% water to the milk

    S.P. / litre 

    ⇒ Profit / litre  %

    Profit increases = 33.33 – 20 = 13.3

  • Question 5/10
    1 / -0

    A man sold two steel chairs for Rs 500 each. On one he gains 20% and on other, he loses 12%. How much does he gain or lose in the whole transaction?

    Solutions

    S.P. of the 1st chair = Rs 500, Gain = 20%

    ∴ C.P. of the 1st chair

    = 

    S.P. of the 2nd chair = Rs 500

    Loss = 12%

    ∴ C.P. of the 2nd chair

    = 

    =

    Now S.P. of both the chairs = Rs 1000

    C.P. of both the chairs

    ∴ Net gain = 1000 – 

    ⇒ Gain % =

    =

    = (To one place of decimal)

  • Question 6/10
    1 / -0

    A firm of ready-made garments makes both men’s and women’s shirts. Its average profit is 6% of the sales. Its profit in men’s shirts average 8% of the sales and women’s shirts comprise 60% of the output. The average profit per sale rupee in women shirts is

    Solutions

    Women’s shirt comprise 60% of the output.

    ∴ Men’s shirts comprise (100 – 60)

    = 40% of the out put.

    ∴ Average profit from men’s shirt

    = 8% of 40 = 3.2 out of 40

    Overall average profit

    = 6 out of 100

    ∴ Average profit from women’s shirts

    = 2.8 out of 60 i.e. 0.0466 out of each shirt.

  • Question 7/10
    1 / -0

    A dealer sold a mixer for Rs 420 at a loss of 12.5%. At what price should he have sold it to gain 12.5%.

    Solutions

    (100 – loss) : S₁ : : (100 + gain) : S₂

    ∴ (100 – 12.5) : 420 : : (100 + 12.5) : S₂

    87.5 : 420 : : 112.5 : S₂

    ⇒ 87.5 × S₂ = 420 × 112.5

    ⇒ 

  • Question 8/10
    1 / -0

    A cycle agent buys 30 bicycles, of which 8 are first grade and the rest are second grade for Rs 3150. Find at what price he must sell the first grade bicycles so that if he sells the second grade bicycles at third quarter of the price, he may make a profit of 40% on both the type of transactions?

    Solutions

    Let the price of first grade cycles be Rs x each and that of second grade cycles be Rs y each.

    Now, 8x + 22y = 3150

    Let he sells A grade cycle at a rate of Rs z per bicycle. Then,

    ⇒ 32z + 66z = 17640

    ⇒ 98z = 17640 or z = 180

    He should sell the first grade bicycles at a rate of Rs 180.

  • Question 9/10
    1 / -0

    John sold a fan at a loss of 7%. If he had sold it for Rs 48 more, he would have gained 5%. Find the cost price of the fan.

    Solutions

    Let C.P. = Rs x. Then,

    S.P. 

    Also, 

    ⇒ 93x + 4800 = 105x

    ⇒ 12x = 4800

    ⇒ x = Rs 400

  • Question 10/10
    1 / -0

    A man bought a horse and a carriage for Rs 3000. He sold the horse at a gain of 20% and the carriage at a loss 10%, thereby gaining 2% on the whole. Find the cost of the horse.

    Solutions

    Let the C.P. of horse = Rs x

    Then the C.P. of carriage = Rs (3000 – x)

    20% of x – 10% of (3000 – x) = 2% of 3000

    ⇒ 2x – 3000 + x = 600

    ⇒ 3x = 3600

    ⇒ x = 1200

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