Model 8 population based Section-Wise Topic Notes With Detailed Explanation And Example Questions
MOST IMPORTANT quantitative aptitude - 11 EXERCISES
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The following question based on percentage topic of quantitative aptitude
(a) Rs.20,950
(b) Rs.19,950
(c) Rs.18,950
(d) Rs.17,950
The correct answers to the above question in:
Answer: (b)
Value of TV after one year = 21000 × (100 – 5)%
= ${21000 × 95}/100$ = Rs. 19950
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Read more population based Based Quantitative Aptitude Questions and Answers
Question : 1
The value of an equipment depreciates by 20% each year. How much less will the value of the equipment be after 3 years ?
a) 51.2%
b) 48.8%
c) 54%
d) 60%
Answer »Answer: (b)
If the present worth of the equipment be Rs.100, then
its price after 3 years = 100 × $(80/100)^3$ = Rs.51.2
Depriciation = 48.8%
Using Rule 18,
If the population/cost of a town/article is P and it decreases/reduces at the rate of r% annually, then,
- After ‘t' years population/cost = $P(1 - r/100)^t$
- Before ‘t' years population/cost = $P/{(1 - r/100)^t}$
Let the price of equipment be Rs.100
Its price after 3 years. = $100(1 - 20/100)^3$
= $100 × (80/100)^3$ = Rs.51.2
Depriciation = 48.8%
Question : 2
If the population of a town is 64000 and its annual increase is 10%, then its correct population at the end of 3 years will be :
a) 85184
b) 80000
c) 85000
d) 85100
Answer »Answer: (a)
Using Rule 17,
Population of town = $P(1 + R/100)^T$
= $64000(1 + 10/100)^3$
= $64000 × 11/10 × 11/10 × 11/10$ = 85184
Question : 3
In a town, the population was 8000. In one year, male population increased by 10% and female population increased by 8% but the total population increased by 9%. The number of males in the town was :
a) 4500
b) 4000
c) 5000
d) 6000
Answer »Answer: (b)
By Alligation Rule
Men : Women = 1 : 1
Number of men = $1/2 × 8000 = 4000$
Question : 4
The population of a town is 9000. It the number of females increases by 5% and the males by 7.5%, what will be the total population after increase. The number of females currently is 3000.
a) 9200
b) 9600
c) 10500
d) 9540
Answer »Answer: (b)
In the village,
Females = 3000; Males = 9000 – 3000 = 6000
After respective increases,
Population of village
= $3000 × 105/100 + {6000 × 107.5}/100$
= 3150 + 6450 = 9600
Question : 5
The population of a village has increased annually at the rate of 25%. If at the end of 3 years it is 10,000, the population in the beginning of the first year was
a) 5000
b) 5120
c) 4900
d) 4500
Answer »Answer: (b)
Using Rule 17,
Population in the beginning of the year
=$\text"Population after 3 years"/(1 + \text"Rate"/100)^{ \text"Time"}$
= $10000/(1 + 25/100)^3= 10000/(5/4)^3$
= ${10000 × 64}/125 = 5120$
Question : 6
The value of a property depreciates every year by 10% of its value at the beginning of the year. The present value of the property is Rs.8100. What was its value 2 years ago ?
a) Rs.$(90/100)^2 × 8100$
b) Rs.10,000
c) Rs. $(100/110)^2 × 8100$
d) Rs.9801
Answer »Answer: (b)
Using Rule 18,
Suppose the value of property two years ago was Rs.x
According to question $x(1 - 10/100)^2 = 8100$
$x(90/100)^2 = 8100$
$x ={8100 × 10 × 10}/{9 × 9}$ = Rs.10000
GET percentage PRACTICE TEST EXERCISES
model 1 simple percentage questions
model 2 net increase or decrease in %
model 3 reducing & exceeding prices
model 4 x & y comparison
model 5 income & expenditure
model 6 consumption & remaining
model 7 marks scored in examinations
Model 8 population based
model 9 voters & election
model 10 percentage with allegations & mixture
model 11 percentage with ratios
percentage Shortcuts and Techniques with Examples
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model 1 simple percentage questions
Defination & Shortcuts … -
model 2 net increase or decrease in %
Defination & Shortcuts … -
model 3 reducing & exceeding prices
Defination & Shortcuts … -
model 4 x & y comparison
Defination & Shortcuts … -
model 5 income & expenditure
Defination & Shortcuts … -
model 6 consumption & remaining
Defination & Shortcuts … -
model 7 marks scored in examinations
Defination & Shortcuts … -
Model 8 population based
Defination & Shortcuts … -
model 9 voters & election
Defination & Shortcuts … -
model 10 percentage with allegations & mixture
Defination & Shortcuts … -
model 11 percentage with ratios
Defination & Shortcuts …
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