Discount


  1. Two successive discounts of 20% and 5% are equivalent to a single discount of
    1. 25%
    2. 24%
    3. 18%
    4. 15%

  1. View Hint View Answer Discuss in Forum

    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 present worth of ₹ 920 due at the end of 3 years at 5 % simple interest per annum is :
    1. ₹780
    2. ₹850
    3. ₹800
    4. ₹810
    5. None of these

  1. View Hint View Answer Discuss in Forum

    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. If the simple interest on a certain sum is due for some years at 6 % is ₹180, and the discount at 5 % on the same amount is ₹140. Find the sum and the time.
    1. ₹ 2100 and 13Year
      7
    2. ₹ 2200 and 23Year
      7
    3. ₹ 2000 and 23Year
      7
    4. ₹ 2300 and 13Year
      7
    5. None of these

  1. View Hint View Answer Discuss in Forum

    Given :- Simple Interest = ₹180 , Rate = 6%

    Banker 's Discount or Simple Interest at 5% = 180 × 5 = ₹ 150
    6

    Banker 's Discount = ₹ 150
    True Discount at 5% = ₹140.
    Sum Due =Banker 's Discount × True Discount = 150 × 140 = ₹ 2100
    Banker 's Discount - True Discount150 - 140
    ∴ Time =Interest × 100 years
    Sum due × Rate

    Correct Option: A

    Given :- Simple Interest = ₹180 , Rate = 6%

    Banker 's Discount or Simple Interest at 5% = 180 × 5 = ₹ 150
    6

    Banker 's Discount = ₹ 150
    True Discount at 5% = ₹140.
    Sum Due =Banker 's Discount × True Discount = 150 × 140 = ₹ 2100
    Banker 's Discount - True Discount150 - 140
    ∴ Time =Interest × 100years
    Sum due × Rate

    Time = 180 × 100 = 13 Year
    2100 × 67


  1. The banker’s gain on a certain sum of money is due for 9 months at 4 % p.a. is ₹2.25. The sum is :
    1. ₹2575
    2. ₹2500
    3. ₹2250
    4. ₹3250
    5. None of these

  1. View Hint View Answer Discuss in Forum

    Here , Banker 's Gain = ₹2.25 , Time = 9 months = 9 = 3 years
    124

    Banker 's Gain is the interest on True Discount .
    True discunt = Banker 's Gain × 100
    Rate × Time
    ∴ True Discount ( T.D. ) =2.25 × 100 = ₹ 75
    3/4 × 4

    Banker 's Discount ( B.D. ) = True Discount ( T.D. ) + Banker 's Gain ( B.G. )
    B.D.= ₹75 + ₹2.25 = ₹77.25
    ∴ Sum due =B.D. × T.D.
    B.G.

    Correct Option: A

    Here , Banker 's Gain = ₹2.25 , Time = 9 months = 9 = 3 years
    124

    Banker 's Gain is the interest on True Discount .
    True discunt = Banker 's Gain × 100
    Rate × Time
    ∴ True Discount ( T.D. ) =2.25 × 100 = ₹ 75
    3/4 × 4

    Banker 's Discount ( B.D. ) = True Discount ( T.D. ) + Banker 's Gain ( B.G. )
    B.D.= ₹75 + ₹2.25 = ₹77.25
    ∴ Sum due =B.D. × T.D. = ₹77.25 × 75
    B.G.2.25

    Sum due = ₹ 2575.



  1. The present worth of a bill of ₹1764 due for 2 years at 5 % compound interest is :
    1. ₹1650
    2. ₹1700
    3. ₹1600
    4. ₹1714
    5. None of these

  1. View Hint View Answer Discuss in Forum

    Given that :- Amount = ₹1764 , Rate = 5% and Time = 2 years

    ∴ Present Worth ( P.W. ) = Amount ÷1 + RateTime
    100

    Correct Option: C

    Given that :- Amount = ₹1764 , Rate = 5% and Time = 2 years

    ∴ Present Worth ( P.W. ) = Amount ÷1 + RateTime
    100

    P.W. = ₹1764 ÷1 + 5×1 + 5
    100100
    = ₹1764 ×440 = ₹1600
    441