Quantitative Aptitude: Percentage Questions Set 9

  1. The selling price and cost price of an table differs by Rs.4000. What is the selling price in case the profit percentage is 20%?
    20,000
    12,000
    25,000
    22,000
    21,000
    Option A
    SP – CP = 4000
    1.2x – x = 4000
    ⇒0.2x = 4000
    ⇒x = 20,000

     

  2. If a person sells his car at 8% profit against 8% loss, then he could had earned Rs12000 more. What is the cost price of car?
    Rs.85000
    Rs.75000
    Rs.45000
    Rs.55000
    Rs.65000
    Option B
    Let Cost Price (CP) = x
    Then Selling Price(SP) if he sells at profit = x(1+8%) = 1.08x
    and SP, if he sells at loss = x(1-8%) = 0.92%
    Given, 1.08%-0.92% = Rs12000
    0.16x = Rs.12000
    ⇒x = Rs.75000

     

  3. Find the amount of water which should be added to 60% solution of citric acid to make it a 40% solution?
    35cc
    45cc
    40cc
    50cc
    60cc
    Option D
    Concentration of citric acid = 60%
    So in a 100cc, citric acid = 80cc and water = 40cc
    Let x be the amount of water added to make concentration of 40%
    ⇒60/(100+x) = 40/100
    ⇒ 60/(100+x) = 2/5
    ∴ x = 50cc

     

  4. A bangle contains 20mg copper, 20mg gold and 40mg silver.Then find out the percentage gold in the bangle?
    22%
    20%
    35%
    25%
    15%
    Option D
    Total weight of bangle = 20+20+ 40 = 80mg
    Weight of gold = 20g
    Percentage of tin = 20g/80g x 100
    =25%

     

  5. If the price of petrol is increased by 10% and subsequently by 20%. If the original price was Rs70 per litre then what is then the final price per litre?
    Rs. 92.4
    Rs. 96.4
    Rs. 95.4
    Rs. 72.4
    Rs. 82.4
    Option A
    Final Price = 70 x (1 + 10/100) x (1 + 20/100)
    = Rs. 92.4

     

  6. The price of a onion is increased by 40%. If the original price is Rs. 300 per kg , what is the final price of the onion?
    Rs.120
    Rs.420
    Rs.220
    Rs.320
    Rs.200
    Option C
    Final Price = Initial price + Initial price x 40/100
    = Initial price x (1+40/100)
    = Rs.300x(1.4)
    = Rs.420

     

  7. If 15% of a number is 4500, then the number is
    30,000
    50,000
    40,000
    33,000
    35,000
    Option A
    Let the number be y.
    Then, 15% of y = 4500
    ( 15 / 100 )y = 4500
    y= 30,000

     

  8. 25 % of a number when added to 25 is equal to that number. What is the number?
    33.3
    35.3
    36.3
    37.3
    38.3
    Option A
    Let ‘x’ be the required number
    0.25x + 25 =x
    ∴ 0.75x=25
    ∴ x=33.3

     

  9. Lavanya income is 20% more than prem’s. How much less is Prem’s income than that of Lavanya’s?
    17.6%
    16.6%
    13.6%
    14.6%
    15.6%
    Option B
    Prem’s income is less than Lavanya’s = [(20 / (100 + 20)] × 100 %
    = 16.6%

     

  10. The total population of a village is 3000, out of which 1500 are males. Out of every 100 males, 98 can read and write, but only 53% of the total population can do so. Find the percentage of women who can read and write.
    9
    7
    5
    8
    6
    Option D
    Number of men who can read and write = 1500 × (98 ÷ 100) =1470

    Number of men and women who can read and write =3000 × (53 ÷ 100) =1590

    Number of women who can read and write 1590 – 1470 = 120

    Thus, out of 1500women 120 can read and write.

    Required percentage = ( 120× 100) ⁄ 1500 %= 8%

     

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