Quantitative Aptitude: Percentage Questions Set 1

Quantitative Aptitude Questions for IBPS RRB/PO/Clerk, SBI PO, NIACL, NICL, RBI Grade B/Assistant, BOI, Bank of Baroda and other competitive exams.

1. In a two-digit positive number, the digit in the units place is equal to the square of the digit in ten’s place and the difference between the number obtained by interchanging the digits and the number is 54. What is 40% of the original number?
   A) 18.5
   B) 20.2
   C) 10.15
   D) 15.6
   E) None of these
   
   View Answer

     Option D
   Solution:
   Let the number be (10x + x^2)
   Therefore ,
   (10x + x^2) – (10x^2 + x) = 54
   => 9x^2 – 9x = 54
   => (x-3)(x+2) = 0
   =>x = 3 or x = -2
   The original number =10x + x^2 = 10*3 +3*3 = 39
   40% of 39 = 15.6
   
2. In a class, the number of  boys is more than the number of girls by 12% of the total strength. What is the ratio of  boys to girls?
   A) 17:19
   B) 11:14
   C) 15:16
   D) 14:11
   E) None of these
   
   View Answer

     Option D
   Solution:
   Let boys be x and girls be y .
   Then,
   (x – y) = [12(x+y)]/100
   => (x/y) = 14/11
   
3. On a test consisting of 300 questions, Jiya answered  50% of the 150 questions correctly . What percent of the other 150 questions does she need to answer correctly for her grade on the entire exam to be 60%?
   A) 65
   B) 70
   C) 81
   D) 75
   E) None of these
   
   View Answer

     Option B
   Solution:
   50% of 150 + x% of 150 = 60% of 300
   => 75 + 1.5x = 180
   => 1.5x = 105
   => x = 70
   
4. A book consists of 30 pages, 25 lines on each page and 35 characters on each line. If this content is written in another note book consisting of 30 lines and 28 characters per line, then the required number of pages will how much per cent greater than the previous pages?
   A) 7%
   B) 6.66%
   C) 8.2%
   D) 7.7%
   E) None of these
   
   View Answer

     Option B
   Solution:
   30 * 25 * 35 = x *30 *28
   => x = 31.25
   Taking as 32 pages
   So, the percentage increase in the no. of pages = (2/30)*100 = 6.66%
5. The price of the article is reduced by 25% but the daily sale of the article is increased by 30%. Find the net effect of the daily sell receipt.
   A) 2.5% decrease
   B) 3% increase
   C) 1.5% decrease
   D) 2.5% increase
   E) None of these
   
   View Answer

     Option A
   Solution:
   Let the daily sale be Rs.100
   100 *(75/100)*(130/100) =97.5
   Decrease = 100 – 97.5 = 2.5%
   
   
6. A shopkeeper increased the price of a product by 25% so that customer finds it difficult to purchase the required amount. But somehow the customer  managed  to purchase only 70% of the required amount. What is the net difference in the expenditure on that product?
   A) 10.2%
   B) 13.3%
   C)12.5%
   D) 11.13%
   E) None of these
   
   View Answer

     Option C
   Solution:
   Let Quantity , Rate and Price be 1 each
   Therefore ,
   Quantity * Rate = Price
   => 0.7 * 1.25 = 0.875
   Then, Decrease in Price = [(1-0.875)/1]*100 = 12.5%
   
7. In a recent survey 40% houses contained two or more people. Of those houses containing only one person 25% were having only a male . What is the percentage of all houses , which contain exactly one male and one female?
   A) 39%
   B) 53%
   C) 45%
   D) 48%
   E) None of these
   
   View Answer

     Option C
   Solution:
   25% of 60% =0.15 = 15%
   Rest of the houses have exactly one female and one male
   = (60 – 15) = 45%
   
8. A vessel contains a mixture of milk and water in the respective ratio of 10:15 . 25 litres of the mixture is taken out from the vessel and 3 litres of pure water and 15 litres of pure milk is added to the mixture. If the resultant mixture contains 50% water, what was the initial quantity of mixture in the vessel before the replacement?
   A) 77L
   B) 85L
   C) 90L
   D) 89L
   E) None of these
   
   View Answer

     Option B
   Solution:
   In 25 litres of mixture,
   Milk = (10/25)*25 = 10 Litres
   Water = 15 litres
   After respective additions , in the resulting mixture ,
   Water = 15x – 15 +3 = (15x – 12) Litres
   Quantity of mixture = 25x – 25 + 18  = (25x – 7) litres
   Now,
   (15x -12)/(25x-7) = 50/100
   => x = 17/5
   Therefore , Initial quantity of the mixture = 25x = 25 *(17/5) = 85 Litres
   
9. The charges per hour of internet surfing is increased by 25% then find the percentage decrease in the time period of surfing of a user who can afford only a 10% increase in expenditure .
   A) 12%
   B) 15%
   C)10%
   D) 18%
   E) None of these
   
   View Answer

     Option A
   Solution:
   Time  * Rate = Total charges
   => x* 1.25 = 1.1
   => x = (1.1/1.25)*100 = 88%
   Thus decrease in time = 12%
   
10. 80% of  a smaller is 4 less than 40% of larger number. The larger number is 85 greater than the smaller one. What is the sum of these two numbers?
    A) 180
    B) 220
    C) 235
    D) 200
    E) None of these
    
    View Answer

      Option C
    Solution:
    Let the smaller no. be x and the larger number be y .
    0.8x + 4 = 0.4y
    => 4y  – 8x = 40
    and y – x = 85
    => x = 75 and y = 160
    x + y = 235

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