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:
96 comments Page 2 of 10.

Sukumar Natarajan said:   4 years ago
Here, we have to use the formula P = (1+r/100) ^n.

So, the Answer is: 4.23%.
(14)

Sanjana said:   4 years ago
Yes, you are right @Nayan.

@Karankumar. We need to find it per year and so 50/10 =5 hear we divide 50 by 10 because they have given the word "decade" in the question which means 10 years. I hope you have understood. Thank you.
(7)

Karunakar said:   4 years ago
How do you know for taking the 10 years? Please explain me.
(3)

Muskan said:   4 years ago
Same here @Ankan Mondal.

Ankan Mondal said:   4 years ago
Sir, I cannot understand. Anyone explain, please.
(4)

Nayana said:   5 years ago
Formula:
1 => Decrease = difference/high value*100.
2 => Increase = difference/low value *100.

Difference = 262500 - 175000 = 87500.
Lower value = 175000.

=> increase = 87500/175000 * 100 = 50
We need to find for per year so 50/10 = 5.
(31)

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)

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?
(4)

Venkatesh said:   5 years ago
Easy method:

Salary be x.

Total expenditure is 20%+60%+10% = 90%.
Remaining 10%,
10% of x = 30rs,
10x = 3000,
X = 300rs,
Salary is 300rs.

Goku said:   5 years ago
@Aparna.

You are 100% wrong. Because you should take 60% of 100Rs, not 60% out of 80.

Take the % out of 100Rs, not out of remaining cost.


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