Ratio, Proportion


  1. A box contains 1-rupee, 50-paise and 25-paise coins in the ratio 8 : 5 : 3. If the total amount of money in the box is ₹ 112.50, the number of 50-paise coins is









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    Ratio of number of 1 rupee, 50-paise and 25 paise coins = 8 : 5 : 3
    Ratio of their respective values

    = 8 :
    5
    :
    3
    24

    = 32 : 10 : 3
    Sum of the ratios = 32 + 10 + 3 = 45
    Value of 50 paise coins
    = ₹
    10
    × 112.5 = ₹ 25
    45

    ∴  Number of 50 paise coins = 25 × 2 = 50

    Correct Option: B

    Ratio of number of 1 rupee, 50-paise and 25 paise coins = 8 : 5 : 3
    Ratio of their respective values

    = 8 :
    5
    :
    3
    24

    = 32 : 10 : 3
    Sum of the ratios = 32 + 10 + 3 = 45
    Value of 50 paise coins
    = ₹
    10
    × 112.5 = ₹ 25
    45

    ∴  Number of 50 paise coins = 25 × 2 = 50


  1. There are ₹ 225 consisting of one rupee, 50 paise and 25 paise coins. The ratio of their numbers in that order is 8 : 5 : 3. The number of one-rupee coins is :









  1. View Hint View Answer Discuss in Forum

    Ratio of the number of coins = 8 : 5 :3

    Ratio of their values = 8 :
    5
    :
    3
    24

    = 32 : 10 : 3
    Sum of the ratios = 32 + 10 + 3 = 45
    ∴  Value of one rupee coins =
    32
    × 225 = ₹ 160
    45

    ∴  Number of one rupee coins = 160

    Correct Option: C

    Ratio of the number of coins = 8 : 5 :3

    Ratio of their values = 8 :
    5
    :
    3
    24

    = 32 : 10 : 3
    Sum of the ratios = 32 + 10 + 3 = 45
    ∴  Value of one rupee coins =
    32
    × 225 = ₹ 160
    45

    ∴  Number of one rupee coins = 160



  1. A bag contains ₹ 90 in coins of denominations of 50 paise, 25 paise and 10 paise. If coins of 50 paise, 25 paise and 10 paise are in the ratio 2 : 3 : 5, then the number of 25 paise coins in the bag is









  1. View Hint View Answer Discuss in Forum

    Ratio of values of 50 paise, 25 paise and 10 paise coins

    =
    2
    :
    3
    :
    5
    2410

    = 1 :
    3
    :
    1
    42

    = 4 : 3 : 2
    Sum of the ratios = 4 + 3 + 2 = 9
    Value of 25 paise coins =
    3
    × 90 = ₹ 30
    9

    Number of 25 paise coins
    = 30 × 4 = 120

    Correct Option: B

    Ratio of values of 50 paise, 25 paise and 10 paise coins

    =
    2
    :
    3
    :
    5
    2410

    = 1 :
    3
    :
    1
    42

    = 4 : 3 : 2
    Sum of the ratios = 4 + 3 + 2 = 9
    Value of 25 paise coins =
    3
    × 90 = ₹ 30
    9

    Number of 25 paise coins
    = 30 × 4 = 120


  1. If 378 coins consist of rupees, 50 paise and 25 paise coins, whose values are in the ratio of 13 : 11 : 7, the number of 50 paise coins will be :









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    The ratio of values of rupee,
    50 paise and 25 paise coins = 13 : 11 : 7
    ∴  Ratio of their numbers
    = 13 × 1 : 11 × 2 : 7 × 4
    = 13 : 22 : 28
    Sum of the ratios
    = 13 + 22 + 28 = 63
    ∴  Required number of 50 paise coins

    =
    22
    × 378 = 132
    63

    Correct Option: A

    The ratio of values of rupee,
    50 paise and 25 paise coins = 13 : 11 : 7
    ∴  Ratio of their numbers
    = 13 × 1 : 11 × 2 : 7 × 4
    = 13 : 22 : 28
    Sum of the ratios
    = 13 + 22 + 28 = 63
    ∴  Required number of 50 paise coins

    =
    22
    × 378 = 132
    63



  1. ₹ 180 contained in a box consists of one rupee, 50 paise and 25 paise coins in the ratio 2 : 3 : 4. What is the number of 50 paise coins?









  1. View Hint View Answer Discuss in Forum

    Ratio of the values = 2 :
    3
    :
    4
    24
    = 4 : 3 : 2
    ∴  Value of 50 paise coins
    =
    3
    × 180 = ₹ 60
    9

    Numbers of 50 paise coins = 120.

    Correct Option: B

    Ratio of the values = 2 :
    3
    :
    4
    24
    = 4 : 3 : 2
    ∴  Value of 50 paise coins
    =
    3
    × 180 = ₹ 60
    9

    Numbers of 50 paise coins = 120.