Aptitude - Percentage - Discussion

Discussion Forum : Percentage - General Questions (Q.No. 15)
15.
The population of a town increased from 1,75,000 to 2,62,500 in a decade. The average percent increase of population per year is:
4.37%
5%
6%
8.75%
Answer: Option
Explanation:

Increase in 10 years = (262500 - 175000) = 87500.

Increase% = 87500 x 100 % = 50%.
175000

Required average = 50 % = 5%.
10

Discussion:
93 comments Page 2 of 10.

Swati Srivastava said:   5 years ago
If the current population is P and it increases at r% p.a., then population after n years = P(1+r/100)^n.

Why can't we simply put in the values and find the answer? By this method, the answer comes out as 4.13%. Can someone explain?
(3)

Ann said:   9 years ago
I think the official answer is wrong : if you increase a population of 175,000 by 5% each year during 10 years it becomes more than 262,500.

Proof 175,000 * (1.05 ^ 10) = 285'056.56 that's more then 262,500!

So it should be less than 5%.

Right answer : ( (262,500/175,000) ^ 0.1) - 1 = 4.137974%.

So, A mus be the right choice.
(2)

Naveen Kumar said:   3 years ago
100-(20+60+10) = 10%.
10% = 30 means 100% = 300.
(2)

Karunakar said:   4 years ago
How do you know for taking the 10 years? Please explain me.
(2)

Captain said:   5 years ago
@Manisha it is very easy.

20% rent
60%expenses
10% lic
30rs children education.

So 20+60+10=90%
The remaining 10% is left which is for education.
So 10% means 30 rs.
For 100%=300 rs.
So answer will be 300.
(2)

Amreen said:   8 years ago
Percentage formula.

% = [final value-intial value/intial value] * 100.
% = 87500/17500 * 100.
= 5 is the ans hence proved.
(1)

Manisha said:   1 decade ago
how to solve this question if 20% of man's salary is paid as rent, 60%are his living expanses, and 10% is paid in L.I.C. if he spends remaining Rs. 30 on the education of the children, find his salary.
(1)

Rekha said:   7 years ago
But there was not mentioned exactly 10 years. Can you please explain how it came?

Kishan Kumar Swain said:   6 years ago
@manish - the easiest way is...
Total expenses %age is 20%+60%+10%=90% .. so remaining is 10% ..
That remaining 10% is Rs 30 ,so
100% will be (30/10)*100= Rs 300 .. simple.

Riad said:   6 years ago
Suppose,
Salary = x.

(100-90)% of x = 30.
10/100 * x = 30.
x = 30*100/10.
x = 300.


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