Percentage


  1. If A's salary is 30% more than B's then how much per cent is B's salary less than A's ?









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    B's salary is less than A's by (30 x 100)/130 % = 231/13%

    Correct Option: C

    B's salary is less than A's by (30 x 100)/130 % = 231/13%


  1. P is six times as large as q. The per cent that q is less than p,is ?









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    P = 6q. Thus q is less than p by 5q
    ∴ q is less than p by = {(6q - q)/6q} x 100%

    Correct Option: A

    P = 6q. Thus q is less than p by 5q
    ∴ q is less than p by = {(6q - q)/6q} x 100%
    = ( 5q/6q) x 100 % = 831/3 %



  1. A man's wages were decreased by 50%. Again the reduced wages were increased by 50%. He has a loss of ?









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    Let original wages = Rs. 100
    Reduced wages = Rs. 50
    Increased wages = 150% of Rs. 50 = (150 x 50)/100 = Rs. 75

    Correct Option: D

    Let original wages = Rs. 100
    Reduced wages = Rs. 50
    Increased wages = 150% of Rs. 50 = (150 x 50)/100 = Rs. 75
    ∴ Loss = 25%


  1. The population of a town increase 4% annually but is decreases by emigration annually to the extent of 1/2%. What will be the increase percent in three years ?









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    Increase in 3 years over 100 = 100 x {1 + 7/(2 x 100)}3
    = (100 x 207/200 x 207/200 x 207/200)
    = (200 + 7)3 / 80000
    = 88869743 / 80000 = 110.8718

    Correct Option: D

    Increase in 3 years over 100 = 100 x {1 + 7/(2 x 100)}3
    = (100 x 207/200 x 207/200 x 207/200)
    = (200 + 7)3 / 80000
    = 88869743 / 80000 = 110.8718

    Required increase % = (110.8 - 100)% = 10.8%



  1. The value of a machine depreciates 10% annually. If its present value is Rs. 4000. Its value 2 years later will be ?









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    Value of machine 2 years later = Rs. [ 4000 x {(1 - 10)/10)}2]
    = Rs. (4000 x 9/10 x 9/10)

    Correct Option: B

    Value of machine 2 years later = Rs. [ 4000 x {(1 - 10)/10)}2]
    = Rs. (4000 x 9/10 x 9/10)
    = Rs. 3240