Model 8 population based Practice Questions Answers Test with Solutions & More Shortcuts
percentage PRACTICE TEST [11 - 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
Question : 1 [SSC CGL Tier-II 2015]
From 1980-1990, the population of a country increased by 20%. From 1990-2000, the population of the country increased by 20%. From 2000-2010, the population of the country increased by 20%. Then the overall increased population (in percentage) of the country from 1980-2010 was
a) 60 %
b) 72.2 %
c) 72.8 %
d) 62.8 %
Answer »Answer: (c)
Using Rule 7,
If a number is first increased by a% and then again increased by b%, then total increase percent is $(a + b + {ab}/100)%$
Single equivalent increase for 20% and 20%
= $(20 + 20 + {20 × 20}/100)%$ = 44%
Single equivalent increase for 44% and 20%
= $(44 + 20 + {44 × 20}/100)%$
= (64 + 8.8)% = 72.8%
Question : 2 [SSC CGL Prelim 2003]
The present population of a city is 180000. If it increases at the rate of 10% per annum, its population after 2 years will be :
a) 227800
b) 207800
c) 217800
d) 237800
Answer »Answer: (c)
Using Rule 17,
If the population/cost of a certain town/ article, is P and annual increament rate is r%, then
- After ‘t' years population/cost = $P(1 + r/100)^t$
- Before ‘t' years population/cost = $P/{(1 + r/100)^t}$
Required population after two years = $180000(1 + 10/100)^2$
= $180000 × 11/10 × 11/10 = 217800$
Question : 3 [SSC Constable 2013]
Raman's salary is increased by 5% this year. If his present salary is Rs.1,806, the last year's salary was
a) Rs.1620
b) Rs.1720
c) Rs.1520
d) Rs.1801
Answer »Answer: (b)
Using Rule 17,
Required Raman's salary = $100/{100 + 5} × 1806$
= $100/105 × 1806$ = Rs.1720
Question : 4 [SSC CGL Prelim 2008]
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
Question : 5 [SSC CHSL 2015]
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
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Model 8 population based Shortcuts »
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Click to Start..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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