Banker's Discount


  1. The present worth (PW) of a sum due sometimes hence is Rs. 5760 and the banker’s gain is Rs. 10. What is the true discount?
    1. Rs. 480
    2. Rs. 420
    3. Rs. 120
    4. Rs. 240

  1. View Hint View Answer Discuss in Forum

    As per given question,
    Present worth PW = 5760
    Banker gain = 10
    True Discount = ?
    As we know the formula,
    True Discount = √PW × BG

    Correct Option: D

    As per given question,
    Present worth PW = 5760
    Banker gain = 10
    True Discount = ?
    As we know the formula,
    True Discount = √PW × BG
    True Discount = √Present Worth × Banker's gain
    True Discount = √5760 × 10 = √57600 = Rs. 240


  1. The banker’s discount of a certain sum of money is Rs. 36 and the true discount on the same sum for the same time is Rs. 30. What is the sum due?
    1. Rs. 180
    2. Rs. 120
    3. Rs. 220
    4. Rs. 200

  1. View Hint View Answer Discuss in Forum

    Here , Banker's Discount = Rs 36 and True Discount = Rs 30
    As we know that ,

    ∴ F = Banker's Discount x True Discount
    Banker's Discount - True Discount

    Correct Option: A

    Here , Banker's Discount = Rs 36 and True Discount = Rs 30
    As we know that ,

    ∴ F = Banker's Discount x True Discount
    Banker's Discount - True Discount
    ∴ F = 36 x 30
    36 - 30

    ∴ F = 36 x 30
    6

    ⇒ F = 36 x 5 = Rs.180
    Thus , the sum due is Rs.180 .



  1. The present worth of a certain sum due sometime hence is Rs. 3400 and the true discount is Rs. 340. The banker’s gain is:
    1. Rs. 21
    2. Rs. 17
    3. Rs. 18
    4. Rs. 34

  1. View Hint View Answer Discuss in Forum

    Given that :- True Discount = Rs. 340 and Present worth = Rs. 3400
    We know that ,

    Banker’s gain = ( True Discount )2
    Present worth

    Correct Option: D

    Given that :- True Discount = Rs. 340 and Present worth = Rs. 3400
    We know that ,

    Banker’s gain = ( True Discount )2
    Present worth
    Banker’s gain = ( 340 )2
    3400
    Banker’s gain = 340 x 340 = Rs. 34
    3400


  1. The banker’s gain of a certain sum due 2 years hence at 10% per annum is Rs. 24. What is the present worth?
    1. Rs. 600
    2. Rs. 500
    3. Rs. 400
    4. Rs. 300

  1. View Hint View Answer Discuss in Forum

    Here , Banker's Gain = Rs. 24 , Time = 2 years and Rate = 10%
    According to question ,

    True Discount = Banker's Gain × 100
    Time x Rate

    Correct Option: A

    Here , Banker's Gain = Rs. 24 , Time = 2 years and Rate = 10%
    According to question ,

    True Discount = Banker's Gain × 100
    Time x Rate
    True Discount = 24 × 100 = Rs. 120
    2 x 10
    True Discount = PW x Time x Rate
    100
    120 = PW x 2 x 10
    100

    ⇒ 1200 = Present Worth x 2
    Present Worth = 1200 = Rs. 600
    2

    Hence , the present worth is Rs. 600 .



  1. What is the present worth of a bill of Rs. 1764 due 2 years hence at 5% compound interest is:
    1. Rs. 1600
    2. Rs. 1200
    3. Rs. 1800
    4. Rs. 1400

  1. View Hint View Answer Discuss in Forum

    As per the given question ,
    Amount = Rs. 1764 , Time = 2 years and Rate =
    we know that ,

    Amount = PW 1 + R 2
    100

    Correct Option: A

    As per the given question ,
    Amount = Rs. 1764 , Time = 2 years and Rate =
    we know that ,

    Amount = PW 1 + R 2
    100

    1764 = PW 1 + 5 2
    100

    1764 = PW 1 + 1 2
    20

    1764 = PW 21 2
    20

    1764 = PW x 441
    400
    PW = 1764 x 400
    441

    ∴ Present worth = 4 x 400 = Rs. 1600