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%