Model 8 population based Section-Wise Topic Notes With Detailed Explanation And Example Questions
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The following question based on percentage topic of quantitative aptitude
(a) Rs. 8,000
(b) Rs. 10, 500
(c) Rs. 10,000
(d) Rs. 11,500
The correct answers to the above question in:
Answer: (c)
Using Rule 18,
A = $P(1 - R/100)^3$
7290 = $P(1 - 10/100)^3 = P(9/10)^3$
7290 = P $× 9/10 × 9/10 × 9/10$
P = ${7290 × 10 × 10 × 10}/{9 × 9 × 9}$ = Rs. 10000
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Read more population based Based Quantitative Aptitude Questions and Answers
Question : 1
The population of a village was 9800. In a year, with the increase in population of males by 8% and that of females by 5%, the population of the village became 10458. What was the number of males in the village before increase ?
a) 4410
b) 4200
c) 5600
d) 6048
Answer »Answer: (c)
Let the number of males = x
Number of females= 9800 – x
According to the question,
$x × 108/100 + (9800 - x) × 105/100 = 10458$
108 x + 9800 ×105 – 105x = 1045800
3x + 1029000 = 1045800
3x = 1045800 – 1029000 = 16800
$x = 16800/3 = 5600$
Question : 2
The population of a town 2 years ago was 62,500. Due to migration to big cities, it decreases every year at the rate of 4%. The present population of the town is:
a) 56,700
b) 57,600
c) 76,000
d) 75,000
Answer »Answer: (b)
Using Rule 18,
Let the present population be P.
P = $62500(1 - 4/100)^2$
= $62500 × 24/25 × 24/25$ = 57600
Question : 3
The value of a machine is Rs.6,250. It decreases by 10% during the first year, 20% during the second year and 30% during the third year. What will be the value of the machine after 3 years?
a) Rs.3,050
b) Rs.2,650
c) Rs.3,150
d) Rs.3,510
Answer »Answer: (c)
Using Rule 28,
Population after ‘n' years = $P(1 ± R_1/100)(1 ± R_2/100)…(1 ± R_n/100)$
Required price of the machine
= $6250(1 - 10/100)(1 - 20/100)(1 - 30/100)$
= $6250 × 90/100 × 80/100 × 70/100$ = Rs.3150
Question : 4
The population of a town increases each year by 4% of its total at the beginning of the year. If the population on 1st January 2001 was 500000, what was it on 1st January, 2004 ?
a) 652432
b) 562432
c) 465223
d) 564232
Answer »Answer: (b)
Using Rule 17,
Required population = $P(1 + R/100)^T$
= $500000(1 + 4/100)^3$
= $500000 × (1 + 1/25)^3$
= $500000 × 26/25 × 26/25 × 26/25$ = 562432
Question : 5
An epidemic broke out in a village in which 5% of the population died. Of the remaining, 20% fled out of panic. If the present population is 4655, then the population of the village originally was
a) 6125
b) 6000
c) 5955
d) 5995
Answer »Answer: (a)
Using Rule 28,
Population after ‘n' years = $P(1 ± R_1/100)(1 ± R_2/100)…(1 ± R_n/100)$
Original population of village = x (let)
According to the question,
$x × 95/100 × 80/100 = 4655$
$x = {4655 × 100 × 100}/{95 × 80}$ = 6125
Question : 6
The population of a town increases every year by 4%. If its present population is 50,000, then after 2 years it will be
a) 54,000
b) 53,900
c) 54,080
d) 54,900
Answer »Answer: (c)
Using Rule 17,
Required population = $50000(1 + 4/100)^2$
= $50000 × 26/25 × 26/25$= 54080
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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