True Discount

True Discount

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  1. If Rs. 10 be allowed as true discount on a bill of Rs. 110 due at the end of a certain time, then the discount allowed on the same sum due at the end of double the time is ?








  1. View Hint View Answer Discuss in Forum

    S.I on Rs. (110 - 10) for a given time = Rs. 10
    S.I. on Rs. 100 for double the time = Rs. 20
    Sum = Rs. (100 + 20) = Rs. 120

    Correct Option: D

    S.I on Rs. (110 - 10) for a given time = Rs. 10
    S.I. on Rs. 100 for double the time = Rs. 20
    Sum = Rs. (100 + 20) = Rs. 120
    T.D. on Rs. 110 = Rs. (20/120) x 110 = Rs. 18.33

  1. A has to pay Rs. 220 to B after 1 year. B asks A to pay Rs. 110 in cash and defer the payment of Rs. 110 for 2 years. A agrees to it. Counting the rate of interest at 10% per annum in this new mode of payment ?








  1. View Hint View Answer Discuss in Forum

    A has to pay the P.W. of Rs. 220 due 1 year hence, which is
    = Rs. [ (100 x 220) / {100 + (10 x 1)} ] = Rs. 200

    A, actually pays = Rs. [110 + P.W. of Rs. 110 due 2 years hence]
    = Rs. [ 110 + (100 x 110) / {100 + (10 x 2)} ]

    Correct Option: D

    A has to pay the P.W. of Rs. 220 due 1 year hence, which is
    = Rs. [ (100 x 220) / {100 + (10 x 1)} ] = Rs. 200

    A, actually pays = Rs. [110 + P.W. of Rs. 110 due 2 years hence]
    = Rs. [ 110 + (100 x 110) / {100 + (10 x 2)} ]
    = Rs. [110 + 91.66] = Rs. [201.66]
    ∴ A loses = Rs. [200 - 201.66] = Rs. 1.66

  1. I want to sell my scooter. There are two offers, One at cash payment of Rs. 8100 and another at a credit of Rs. 8250 to be paid after 6 months. If money being worth 61/4% per annum simple interest, which is the better offer ?








  1. View Hint View Answer Discuss in Forum

    P.W. of Rs. 8285 due 6 months hence = Rs. { (100 x 8250) / {100 + (25 / 4 x 1 / 2)} } = Rs. 8000
    ∴ Rs. 8100 in cash is a better offer.

    Correct Option: A

    P.W. of Rs. 8285 due 6 months hence = Rs. { (100 x 8250) / {100 + (25 / 4 x 1 / 2)} } = Rs. 8000
    ∴ Rs. 8100 in cash is a better offer.

  1. A trader owes a merchant Rs. 901 due 1 year's hence. However, the trader wants to settle the account after 3 months. How much cash should he pay, If rate of interest is 8% per annum ?








  1. View Hint View Answer Discuss in Forum

    P.W. of Rs. 901 due 9 months hence at 8%
    = Rs { (100 x 901) / (100 + (8 x 3 / 4))} = Rs. (100 x 901) / 106

    Correct Option: B

    P.W. of Rs. 901 due 9 months hence at 8%
    = Rs { (100 x 901) / (100 + (8 x 3 / 4))} = Rs. (100 x 901) / 106
    = Rs. 850

  1. The interest on Rs. 750 for 2 years is equal to the true discount on Rs. 810 for the same time and at the same rate. The rate percent is ?








  1. View Hint View Answer Discuss in Forum

    Since T.D. is S.I. on Rs. P.W.,
    we have Rs. (810 - 750) or Rs. 60 as S.I. on Rs. 750 for 2 years

    Correct Option: C

    Since T.D. is S.I. on Rs. P.W.,
    we have Rs. (810 - 750) or Rs. 60 as S.I. on Rs. 750 for 2 years
    ∴ Rate = (100 x 60) / (750 x 2) = 4%