retagged by
2,758 views
6 votes
6 votes

Industrial consumption of power doubled from $2000-2001$ to $2010-2011$. Find the annual rate of increase in percent assuming it to be uniform over the years. 

  1. $5.6$ 
  2. $7.2$ 
  3. $10.0$ 
  4. $12.2$
retagged by

3 Answers

Best answer
18 votes
18 votes

Here we need to consider compound interest 
consumption is doubled in $10$ years

$2P = P \left [ 1+ \frac{R}{100} \right ]^{10}$

$2= \left [ 1+ \frac{R}{100} \right ]^{10}$

$\sqrt[10]{2} \times 100=100+R$

$1.07177 \times 100 = 100 +R$

$R=7.177 \approx 7.2$ 

So, ans is option B

edited by
1 votes
1 votes
Total price = X rs.

 X rs. in 10 years rate of interest rs.X

1 rs.  "    10  "       "    "    "       rs X/X=1

1 rs.  "      1  "      "    "    "        rs. 1/10⨉100=10

Ans will be (C)
1 votes
1 votes

difference value = increased value - original value

rate of increase = $\left ( \frac{difference value}{original value} \right )100$

here if original consumption value = x

increased consumption value = 2x

difference value = 2x-x = x

so rate of increase = $\left ( \frac{x}{x} \right )100$ = 100%

but it is over span of 10 years. so annual rate of increase is 100/10 =10.0 (as increase is uniform over years)

so answer C

Answer:

Related questions

12 votes
12 votes
6 answers
1
makhdoom ghaya asked Mar 17, 2016
5,126 views
A five digit number is formed using the digits $1,3,5,7$ and $9$ without repeating any of them. What is the sum of all such possible five digit numbers?$6666660$ $6666600...
5 votes
5 votes
3 answers
2
makhdoom ghaya asked Mar 17, 2016
2,411 views
Find the next term in the sequence: 13M, 17Q, 19S,_______.21W 21V 23W 23V
5 votes
5 votes
2 answers
3
makhdoom ghaya asked Mar 17, 2016
1,637 views
In a sequence of $12$ consecutive odd numbers, the sum of the first $5$ numbers is $425$. What is the sum of the last $5$ numbers in the sequence?