Quantitative Aptitude: Percentage Questions Set 10

1. If 45% of P is equal to 60% of Q, then find 9P is what percent of 12Q ?
   100%
   50%
   80%
   90%
   120%
   Option A
   solution: 45*P=60*Q
   P/Q=60/45=4/3
   percentage=(9*4/12*3)*100=100%

    

2. Two numbers are respectively 20% and 50% more than the 3rd number. What percent is the 1st number of the 2nd number ?
   90%
   85%
   80%
   60%
   100%
   Option C
   solution: let the 3rd number =100
   1st number=120
   2nd number=150
   % required = 120/150*100=80%

    

3. A man spends 50% of his monthly salary in food and rent, 20% of remaining spends education of children and 25% of the remaining in entertainment. Find his yearly salary if he s left with rs.4200 in end of monthly as savings.
   144000
   168000
   280000
   180000
   240000
   Option B
   solution: let his monthly salary =x
   x*50/100*80/100*75/100=4200
   x=14000
   his yearly salary=12*14000=168000

    

4. The population of a village is increased by 20% in 2019 and decreased by 25% in 2020. Find the population of village in the end of 2020, if the population of village in 2018 is 9600.
   7500
   8500
   9000
   8640
   none of these
   Option D
   solution: the population of village in 2020=9600*120/100*75/100=8640

    

5. The length of a rectangle is 20cm and breadth is 5cm. The length decreases by 10% and the breadth deacreses by 20%, what is % change in area.
   -28
   -30
   -32
   -40
   none of these
   Option A
   solution:Now percentage change in area=[-x-y+xy/100]%
   =-10-20+10*20/100]%
   =-28%

    

6. 720 sweets were distributed equally amongst children in such a way that number of sweets received by each child is 20% of the total number of children. How much sweets did each child received ?
   18
   15
   12
   24
   30
   Option C
   solution: let the total number of children be x
   x*20/100*x=3600
   x=60
   number of sweets received by each child=720/60=12

    

7. Minu scored 35% marks and failed by 60 marks. If she scored 55% marks and she passes by 40 marks. Find by how much marks would she fail or pass if she scored 49% marks ?
   10 marks , fail
   10 marks ,pass
   12 marks, pass
   20 marks, fail
   none of these
   Option B
   solution: 35%+60=55%-40
   20%=100
   pass mark=(100/20*35)+60
   =175+60=235
   49% marks =245
   she will pass by (245-235)=10 marks
   

    

8. An amount of rs.44000 is divided among P, Q & R. The share of R is 10% more than share of P, while share of P is 20% more than share of Q, then find the sum of share of P & R ?
   37500
   35000
   30000
   31500
   32500
   Option D
   solution: let share of Q=100
   share of P=100*120/100=120
   share of R=120*110/100=132
   Ratio f P:Q:R= 120:100:132
   =30:25:33
   ATQ, 88x=44000
   x=500
   required= (30x+33x)=63x
   =63*500=31500

    

9. A fraction is such that it we increase the numerator by 20% and decrease the denominator by 10%, we get 5/9 as a fraction, then find the original fraction.
   6/13
   4/9
   9/12
   5/12
   none of these
   Option D
   solution: (x*120/100)/(y*90/100)=5/9
   x/y=5/12
   

    

10. If Rahul’s salary is 30% more than that of Ram’s salary, then how much percent is salary of Ram less than that of Rahul ?
    18.67%
    22.87%
    23.07%
    24%
    25%
    Option C
    solutions: let Ram’s salary =100
    Rahul’s salary=130
    required %= 30/130*100
    =23.07%
    

     

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