True Discount

True Discount

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Aptitude miscellaneous
  1. The true discount on Rs. 2575 due 4 months hence is Rs. 75. The rate percent is ?








  1. View Hint View Answer Discuss in Forum

    P.W. = Rs. (2575 - 75) = Rs. 2500
    ∴ Rate = (100 x 75 x 3) / (2500 x 1)%

    Correct Option: C

    P.W. = Rs. (2575 - 75) = Rs. 2500
    ∴ Rate = (100 x 75 x 3) / (2500 x 1)% = 9%

  1. The true discount on a bill a due 8 months hence at 12% per annum is Rs. 240. Find the amount of the bill and its present worth ?








  1. View Hint View Answer Discuss in Forum

    P.W. = (100 x T.D.) / (R x T) = (100 x 240) / (12 x 8/12) = Rs. 3000
    ∵ P.W. is Rs. 3000
    ∴ A = Amount of bill = P.W. + T.D.

    Correct Option: A

    P.W. = (100 x T.D.) / (R x T) = (100 x 240) / (12 x 8/12) = Rs. 3000
    ∵ P.W. is Rs. 3000
    ∴ A = Amount of bill = P.W. + T.D. = 3000 + 240 = 3240

  1. The true discount on Rs. 1860 due after a certain time at 5% is Rs. 60. The time after which it is due is ?








  1. View Hint View Answer Discuss in Forum

    P.W. = (Sum due) - (T.D.)
    = Rs. (1860 - 60) = Rs. 1800
    Thus, Rs. 60 is S.I. on Rs. 1800 at 5% per annum
    ∴ Time = (100 x 60) / (1800 x 5) years

    Correct Option: B

    P.W. = (Sum due) - (T.D.)
    = Rs. (1860 - 60) = Rs. 1800
    Thus, Rs. 60 is S.I. on Rs. 1800 at 5% per annum
    ∴ Time = (100 x 60) / (1800 x 5) years
    = 2 / 3 years = 8 months

  1. Find the present worth (PW) and the true discount reckoning 6% per annum simple interest of Rs. 176 due in 20 months time ?








  1. View Hint View Answer Discuss in Forum

    P.W. = (100 x 176) / (100 + (6 x 20)/12) = Rs. 160
    T.D. = Amount - present worth

    Correct Option: A

    P.W. = (100 x 176) / (100 + (6 x 20)/12) = Rs. 160
    T.D. = Amount - present worth
    = Rs. 176 - Rs. 160 = Rs. 16

  1. A man purchased a cow for Rs. 300 and sold it the same day for Rs. 360, allowing the buyer at the credit of 2 years. If the rate of interest be 71/2% per annum, then the man has a gain of ?








  1. View Hint View Answer Discuss in Forum

    P.W. of Rs. 360 due 2 years hence at 71/7% per annum
    = Rs. { {100 x 360} / {100 + (50/7 x 2)}}
    = Rs. { (100 x 360 x 7) / 800} = Rs. 315
    ∴ S.P. = Rs. 315
    Hence, gain % = (15 x 100) / 300

    Correct Option: D

    P.W. of Rs. 360 due 2 years hence at 71/7% per annum
    = Rs. { {100 x 360} / {100 + (50/7 x 2)}}
    = Rs. { (100 x 360 x 7) / 800} = Rs. 315
    ∴ S.P. = Rs. 315
    Hence, gain % = (15 x 100) / 300 = 5%