# 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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