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.4,60,000
(b) Rs.4,50,000
(c) Rs.4,75,000
(d) Rs.4,80,000
The correct answers to the above question in:
Answer: (d)
Using Rule 18,
Value of the property 3 years ago
= $P/{(1 - R/100)^T} = 411540/{(1 - 5/100)^3}$
= ${411540 × 20 × 20 × 20}/{19 × 19 × 19}$ = Rs.480000
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Read more population based Based Quantitative Aptitude Questions and Answers
Question : 1
A man received Rs.8,80,000 as his annual salary of the year 2007 which was 10% more than his annual salary in 2006. His annual salary in the year 2006 was
a) Rs.8,00,000
b) Rs.4,80,000
c) Rs.4,00,000
d) Rs.8,40,000
Answer »Answer: (a)
Using Rule 17,
Let the man's annual salary in 2006 be Rs.x.
${110x}/100$ = 880000
$x = {880000 × 100}/110$ = Rs.800000
Question : 2
Present population of a village is 67600. It has been increasing annually at the rate of 4%. What was the population of the village two years ago ?
a) 63000
b) 62500
c) 64756
d) 65200
Answer »Answer: (b)
Using Rule 17,
Population of the village two years ago
= $P/(1 + R/100)^2 = 67600/(1 + 4/100)^2$
= ${67600 × 25 × 25}/{26 × 26}$ = 62500
Question : 3
The population of a city is 20000. It increases by 20% during the first year and 30% during the second year. The population after two years will be:
a) 40000
b) 32000
c) 31200
d) 30000
Answer »Answer: (c)
Population of city after two years
= $P(1 + R_1/100)(1 + R_2/100)$
= $20000(1 + 20/100)(1 + 30/100)$
= $20000 × 120/100 × 130/100$ = 31200
Question : 4
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 : 5
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 : 6
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
$x = 16800/3 = 5600$
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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