Percentage
- The population of a town is 126800. It increase by 15% in the 1st year and decrease by 20% in the 2nd year. What is the population of the town at the end of 2 yr.
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Given, R = 15% and R2 = 20%
Required population
= P(1 + R1/100) (1 - R2/100)Correct Option: C
Given, R = 15% and R2 = 20%
Required population
= P(1 + R1/100) (1 - R2/100)
= 126800(1 + 15/100) (1- 20/100)
= 126800 (1 + 3/20 ) (1- 1/5)
= 126800 x (23/20) x (4/5) = 116656
- The population of a town is 705600. If it increases at the rate of 5% per annum, then what will be its population 2yr hence ?
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Given that,
P = 705600, R = 5% and n = 2
According to the formula,
Population after n yr = p(1 + R/100)nCorrect Option: A
Given that,
P = 705600, R = 5% and n = 2
According to the formula,
Population after n yr = p(1 + R/100)n
∴ Population after 2 yr.
= 705600 x (1+ 5/100)2
= 705600 x (105/100)2
= 705600 x (21/20 x 21/20) = 777924
- The population of a town is 1058400. if it increase at the rate of 5% per annum, then find the population of the town 2 yr ago.
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Given that,
p = 1058400, R = 5% and n = 2
According the formula,
Population n yr ago = P/(1 + R/100) nCorrect Option: C
Given that,
p = 1058400, R = 5% and n = 2
According the formula,
Population n yr ago = P/(1 + R/100) n
∴ Population 2yr ago = 1058400/(1+ 5/100)2
= 1058400 x 20/21 x 20/21 = 960000
- The population of a city is 250000. It is increasing at the rate of 2% every year. The growth in the population after 2 yr is ?
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Population after 2 yr
= P (1 + R/100)2
= 250000 (1 + 2/100)2Correct Option: D
Population after 2 yr
= P (1 + R/100)2
= 250000 (1 + 2/100)2
⇒ 250000 x (51/50) x (51/50) = 260100
∴ Growth = 260100 - 250000 = 10100
- In a school, 10% of boys are equal to the one - fourth of the girls. What is the ration of boys and girls in that school?
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Let the number of boys = B
and number of girls = G
Then, 10% of B = 1/4 of GCorrect Option: B
Let the number of boys = B
and number of girls = G
Then, 10% of B = 1/4 of G
⇒ B/10 = G/4
⇒ B/G = 10/4 = 5/2
⇒ B : G = 5 : 2