Percentage


  1. Anirudh secures 85%, 70%, 65% and 60% marks in test papers with 100, 120, 140 and 160, respectively as maximum marks. The percentage of his aggregate is ?









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    Marks secured by Anirudh = [(85/100) x 100] + [(70/100) x 120] + [(65/100) x 140] + [(60/100) x 160]
    = (85 + 84 + 91 + 96) = 356

    Correct Option: B

    Marks secured by Anirudh = [(85/100) x 100] + [(70/100) x 120] + [(65/100) x 140] + [(60/100) x 160]
    = (85 + 84 + 91 + 96) = 356
    ∴ Required percentage = [356/(100 + 120 + 140 + 160)] x 100 %
    = (356/520) x 100% = 686/13%


  1. A student multiplied a number by 2/5 instead of 5/2. What is the percentage error in the calculation ?









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    Let the number be N.
    Then, error = 5N/2 - 2N/5 = 21N/10
    ∴ Error percentage = (21N/10) x (2/5N) x 100 %

    Correct Option: C

    Let the number be N.
    Then, error = 5N/2 - 2N/5 = 21N/10
    ∴ Error percentage = (21N/10) x (2/5N) x 100 % = 84%



  1. If the price of mangoes is decreased by 40%, one could get 32 more mangoes for ₹ 120. Find the original price of each mango.









  1. View Hint View Answer Discuss in Forum

    Let the original price be ₹ N per kg.
    New price per kg = 60% of N = 3N/5
    ∴ 120 / (3N/5) - 120/N = 32

    Correct Option: B

    Let the original price be ₹ N per kg.
    New price per kg = 60% of N = 3N/5
    ∴ 120 / (3N/5) - 120/N = 32
    ⇒ 600/3N - 120/N = 32
    ⇒ 200/N - 120/N = 32
    ⇒ 80/N = 32
    ∴ N = 80/32 = 2.5
    So, the original price is ₹ 2.50


  1. A man sells a chair and a table, both at same price of Rs. 4000 each and is neither gaining nor losing in the deal. If he sold the chair at profit of 25% then he sold table at loss of ?









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    Sum of CP pf table and chair = Sum of SP of table and Chair

    Correct Option: B

    CP of the chair which is sold at 25% of profit = Rs 4000/ (1+ 25%)
    = Rs 4000/1.25
    = Rs 3200

    Now given, that sum of CP pf table and chair= sum of SP of table and Chair
    ⇒ 8000= 3200 + CP of Table
    ⇒ CP of Table = Rs 4800
    ⇒ Loss on Cost price of table = Rs 4800- Rs 4000= Rs 8000
    ⇒ Loss % = 8000/4800 = 16.66%



  1. 5% income of A is equal to 15% income of B and 10% income of B is equal to 20% income of C. If income of C is Rs.2000, then total income of A, B and C is ?









  1. View Hint View Answer Discuss in Forum

    ∵ 5% of A=15% of B and 10% of B = 20% of C
    ∴ A/20 = 3B/20 and B/10 = C/5
    ⇒ B = 2C
    ⇒ A/20 = (3/20) x 2C = 3C/10 =(3/10) x 2000 = 600
    ∴ A = (600 x 20) = 12000,
    B = (2 x 2000) = 4000

    Correct Option: B

    ∵ 5% of A=15% of B and 10% of B = 20% of C
    ∴ A/20 = 3B/20 and B/10 = C/5
    ⇒ B = 2C
    ⇒ A/20 = (3/20) x 2C = 3C/10 =(3/10) x 2000 = 600
    ∴ A = (600 x 20) = 12000,
    B = (2 x 2000) = 4000
    ∴ A + B + C = (12000 + 4000 + 2000) = 18000