Discount


  1. What price should a shopkeeper mark on an article costing him ₹ 200 to gain 35% after allowing a discount of 25% ?









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    Let the marked price be p.

    ∴ 
    p × 75
    = 200 ×
    135
    100100

    ⇒  p =
    200 × 135
    = ₹ 360
    75

    2nd method to solve this question.
    Here, r = 25%, R = 35%,
    C.P. = ₹ 200
    Marked price = Rs. 200 + 200 ×
    r + R
    × 100 %
    100 − r

    Correct Option: D

    Let the marked price be p.

    ∴ 
    p × 75
    = 200 ×
    135
    100100

    ⇒  p =
    200 × 135
    = ₹ 360
    75

    2nd method to solve this question.
    Here, r = 25%, R = 35%,
    C.P. = ₹ 200
    Marked price = Rs. 200 + 200 ×
    r + R
    × 100 %
    100 − r

    = 200 + 200 ×
    25 + 35
    % × 100
    100 − 25

    = 200 +
    200 × 60
    × 100%
    75

    = 200 +
    200 × 20 × 4
    100

    Hence Marked price = 200 + 160 = ₹ 360


  1. The present worth of ₹ 920 due at the end of 3 years at 5 % simple interest per annum is :











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    Given :- Amount = ₹ 920 , Rate = 5% and Time = 3 years

    Present Worth =Amount × 100
    100 + ( Rate × Time )

    Correct Option: C

    Given :- Amount = ₹ 920 , Rate = 5% and Time = 3 years

    Present Worth =Amount × 100= ₹920 × 100= ₹920 × 100= ₹ 800
    100 + ( Rate × Time )100 + ( 3 × 5 )115



  1. Two successive discounts of 20% and 5% are equivalent to a single discount of









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    Here, r1 = 20% and r2 = 5%
    ∴ Required percentage
    = r1 + r2 - (r1 x r2)/100%

    Correct Option: B

    Here, r1 = 20% and r2 = 5%
    ∴ Required percentage
    = r1 + r2 - (r1 x r2)/100%
    = 20 + 5 - (20 x 5)/100
    = 25 - 1
    =24%


  1. The marked price of an article is ₹ 500. It is sold on two successive discounts of 20% and 10%. The selling price of that article is









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    ∵ Marked price of an article = ₹ 500
    The selling price of article after discount 20% and 10%
    = 500 x {(100 - 20) / 100} x {(100 - 10) / 100}

    Correct Option: C

    ∵ Marked price of an article = ₹ 500
    The selling price of article after discount 20% and 10%
    = 500 x {(100 - 20) / 100} x {(100 - 10) / 100}
    = 500 x (80/100) x (90/100)
    = ₹ 360



  1. Rita bought a television set with 20% discount on the labelled price. She made a profit of ₹ 800 by selling it for ₹ 16800. The labelled price of the set was









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    Let labelled price of TV = ₹ R
    ∴ SP of the TV = [R x (100 - 20)] / 100

    Correct Option: B

    Let labelled price of TV = ₹ R
    ∴ SP of the TV = [R x (100 - 20)] / 100 = ₹ 4R/5
    But 16800 - 800 = 4R/5
    ∴ x = (16000 x 5)/4 = ₹ 20000