Percentage


  1. A reduction in the price of apples enables a person to purchase 3 apples for 1 instead of 1.25. What is the % of reduction in price (approximately) ?









  1. View Hint View Answer Discuss in Forum

    Using Rule 1,
    Percentage decrease

    =
    0.25
    × 100 = 20%
    1.25

    Correct Option: A

    Using Rule 1,
    Percentage decrease

    =
    0.25
    × 100 = 20%
    1.25


  1. The Government reduced the price of sugar by 10 per cent. By this a consumer can buy 6.2 kg more sugar for ₹ 837. The reduced price per kg of sugar is









  1. View Hint View Answer Discuss in Forum

    10 per cent of ₹ 837

    =
    10
    × 837 = ₹ 83.7
    100

    ∴ Reduced per kg price
    =
    83.7
    = ₹ 13.50
    6.2

    Aliter : Using Rule 31,
    Reduced price per kg
    =
    10 × 837
    = ₹ 13.50
    100 × 6.2

    Correct Option: C

    10 per cent of ₹ 837

    =
    10
    × 837 = ₹ 83.7
    100

    ∴ Reduced per kg price
    =
    83.7
    = ₹ 13.50
    6.2

    Aliter : Using Rule 31,
    Reduced price per kg
    =
    10 × 837
    = ₹ 13.50
    100 × 6.2



  1. The price of sugar is reduced by 20%. Now a person can buy 500g more sugar for ₹ 36. The original price of the sugar per kilogram was









  1. View Hint View Answer Discuss in Forum

    Let the original price of sugar = ₹ x /kg.
    Reduced price of sugar = 80% of x

    =
    x × 80
    = ₹
    4x
    kg
    1005

    36
    -
    36
    =
    1
    4x
    x2
    5

    45
    -
    36
    =
    1
    xx2

    9
    =
    1
    x2

    ⇒ x = 9 × 2 = ₹ 18/Kg
    Aliter : Using Rule 31,
    New price =20 × 36= ₹ 14.4
    100 ×
    500
    100

    Let the original price be Rs x
    A.T.Q.
    x -
    20x
    = 14.4
    100

    80x
    = 14.4
    100

    x =
    144
    x = 18
    8

    ∴ Original price = ₹ 18

    Correct Option: B

    Let the original price of sugar = ₹ x /kg.
    Reduced price of sugar = 80% of x

    =
    x × 80
    = ₹
    4x
    kg
    1005

    36
    -
    36
    =
    1
    4x
    x2
    5

    45
    -
    36
    =
    1
    xx2

    9
    =
    1
    x2

    ⇒ x = 9 × 2 = ₹ 18/Kg
    Aliter : Using Rule 31,
    New price =20 × 36= ₹ 14.4
    100 ×
    500
    100

    Let the original price be Rs x
    A.T.Q.
    x -
    20x
    = 14.4
    100

    80x
    = 14.4
    100

    x =
    144
    x = 18
    8

    ∴ Original price = ₹ 18


  1. A reduction of 10% in the price of sugar enables a housewife to buy 6.2 kg more for ₹ 1116. The reduced price per kg is









  1. View Hint View Answer Discuss in Forum

    Reduced price of 6.2kg of sugar
    = 10% of ₹ 1116
    = ₹ 111.6
    ∴ Reduced price per kg

    = ₹
    111.6
    = ₹ 18
    6 2

    Aliter : Using Rule 31,
    New price =
    10 × 1116
    100 × 6.2

    =
    1116
    = ₹ 18
    62

    Correct Option: D

    Reduced price of 6.2kg of sugar
    = 10% of ₹ 1116
    = ₹ 111.6
    ∴ Reduced price per kg

    = ₹
    111.6
    = ₹ 18
    6 2

    Aliter : Using Rule 31,
    New price =
    10 × 1116
    100 × 6.2

    =
    1116
    = ₹ 18
    62



  1. When the price of sugar decreases by 10%, a man could buy 1 kg more for ₹ 270. Then the original price of sugar per kg is









  1. View Hint View Answer Discuss in Forum

    Let the original price of sugar be ₹ x/kg

    ∴ New price = ₹
    9x
    /kg
    10

    270
    -
    270
    = 1
    9x
    x
    10

    300
    -
    270
    = 1 ⇒
    30
    = 1
    x x x

    ⇒ x = ₹ 30 /kg
    Aliter : Using Rule 31,
    New price =
    10 × 270
    = ₹ 27
    100 × 1

    Let the original price be Rs. x
    ⇒ x -
    10x
    = 27
    100

    90x
    = 27
    100

    x =
    2700
    = 30
    90

    ∴ Original price = ₹ 30 per kg

    Correct Option: B

    Let the original price of sugar be ₹ x/kg

    ∴ New price = ₹
    9x
    /kg
    10

    270
    -
    270
    = 1
    9x
    x
    10

    300
    -
    270
    = 1 ⇒
    30
    = 1
    x x x

    ⇒ x = ₹ 30 /kg
    Aliter : Using Rule 31,
    New price =
    10 × 270
    = ₹ 27
    100 × 1

    Let the original price be Rs. x
    ⇒ x -
    10x
    = 27
    100

    90x
    = 27
    100

    x =
    2700
    = 30
    90

    ∴ Original price = ₹ 30 per kg