Percentage


  1. The value of a property decreases every year at the rate of 5%. If its present value is ₹ 4,11,540, what was its value 3 years ago ?









  1. View Hint View Answer Discuss in Forum

    Using Rule 18,
    Value of the property 3 years ago

    =P
    1 -
    R
    T
    100

    =411540
    1 -
    5
    3
    100

    =
    411540 × 20 × 20 × 20
    = ₹ 480000
    19 × 19 × 19

    Correct Option: D

    Using Rule 18,
    Value of the property 3 years ago

    =P
    1 -
    R
    T
    100

    =411540
    1 -
    5
    3
    100

    =
    411540 × 20 × 20 × 20
    = ₹ 480000
    19 × 19 × 19


  1. If the population of a town is 64000 and its annual increase is 10%, then its correct population at the end of 3 years will be :









  1. View Hint View Answer Discuss in Forum

    Using Rule 17,
    Population of town

    = P1 +
    R
    T
    100

    = 640001 +
    10
    3
    100

    = 64000 ×
    11
    ×
    11
    ×
    11
    = 85184
    101010

    Correct Option: B

    Using Rule 17,
    Population of town

    = P1 +
    R
    T
    100

    = 640001 +
    10
    3
    100

    = 64000 ×
    11
    ×
    11
    ×
    11
    = 85184
    101010



  1. The population of a village decreases at the rate of 20% per annum. If its population 2 years ago was 10,000, the present population is









  1. View Hint View Answer Discuss in Forum

    Using Rule 17,
    Present population

    = 100001 -
    20
    2
    100

    = 10000 ×
    4
    ×
    4
    = 6400
    55

    Correct Option: B

    Using Rule 17,
    Present population

    = 100001 -
    20
    2
    100

    = 10000 ×
    4
    ×
    4
    = 6400
    55


  1. If a man receives on one-fourth of his capital 3% interest, on two third 5% and on the remainder 11%, the percentage he receives on the whole is









  1. View Hint View Answer Discuss in Forum

    Required percent

    =
    1
    × 3 +
    2
    × 5 +1 -
    1
    -
    2
    × 11
    4343

    =
    3
    +
    10
    +
    11
    =
    9 + 40 + 11
    = 5%
    431212

    Correct Option: B

    Required percent

    =
    1
    × 3 +
    2
    × 5 +1 -
    1
    -
    2
    × 11
    4343

    =
    3
    +
    10
    +
    11
    =
    9 + 40 + 11
    = 5%
    431212



  1. The value of a machine is ₹ 6,250. It decreases by 10% during the first year, 20% during the second year and 30% during the third year. What will be the value of the machine after 3 years?









  1. View Hint View Answer Discuss in Forum

    Using Rule 28,
    Required price of the machine

    = 62501 -
    10
    1 -
    20
    1 -
    30
    100100100

    = 6250 ×
    90
    ×
    80
    ×
    70
    = ₹ 3150
    100100100

    Correct Option: C

    Using Rule 28,
    Required price of the machine

    = 62501 -
    10
    1 -
    20
    1 -
    30
    100100100

    = 6250 ×
    90
    ×
    80
    ×
    70
    = ₹ 3150
    100100100