Bar Charts Questions Answers

• 1. In how many of the given years was the production of fertilizers more than average production of the given years?
  
  

  1. 4
  2. 3
  3. 2
  4. 1

  Answer :

  Option A

  Explanation:

  Average production (in 10000 tonnes) over the given years will be
  \begin{aligned}
  \frac{1}{8}(25+40+60+45+65+50+75+80) \\
  = 55
  \end{aligned}
  So the production in the years 1997, 1999, 2001 and 2002 are more than the average production.
  
  
  

• 2. The average production of 1996 and 1997 was exactly equal to the average production of which of the following pair of the years ?
  
  

  1. 1999 and 2000
  2. 2000 and 2001
  3. 1995 and 1999
  4. 1995 and 2001

  Answer :

  Option D

  Explanation:

  Average production of 1996 and 1997 (in 10000 tonnes) was
  \begin{aligned}
  \frac{40+60}{2} = 50 \\
  \text{Now for other given years it was }\\
  a. \text{for 1999 and 2000 =} \frac{65+50}{2} \\
  = 57.5 \\
  
  b. \text{for 2000 and 2001 =} \frac{50+75}{2} \\
  = 62.5 \\
  
  c. \text{for 1995 and 1999 =} \frac{25+65}{2} \\
  = 45 \\
  
  d. \text{for 1995 and 2001 =} \frac{25+75}{2} \\
  = 50 \\
  
  \end{aligned}
  So it is equal to the year 1995 and 2001
  
  

• 3. What was the percentage decline in the production of fertilizers from 1997 to 1998 ?

  1. 23%
  2. 25%
  3. 26%
  4. 27.5%

  Answer :

  Option B

  Explanation:

  Percentage we can get easily by getting the difference between two and then by finding that difference is what percent of the initial value.
  So lets solve:
  \begin{aligned}
  \text{Percentage =}\frac{45-60}{60}*100 \% \\
  = -25 \%
  \end{aligned}
  So there was decline of 25% from the year 1997 to 1998.
  
  

• 4. In which year the percentage increase in production as compared to previous year is maximum ?

  1. 1997
  2. 1996
  3. 1999
  4. 2001

  Answer :

  Option B

  Explanation:

  Let find the percentage increase in production compared to previous year for different years:
  \begin{aligned}
  \text{In 1997 =}\frac{60-40}{40}*100 \% \\
  = 50 \% \\
  
  \text{In 1996 =}\frac{40-25}{25}*100 \% \\
  = 60 \% \\
  
  \text{In 1999 =}\frac{65-45}{45}*100 \% \\
  = 44.44 \% \\
  
  \text{In 2001 =}\frac{75-50}{50}*100 \% \\
  = 50 \% \\
  \end{aligned}
  So percentage increase is maximum in 1996.
  
  

• 5. What was the percent increase in production of fertilizers in 2002 compared to that in 1995 ?
  
  

  1. 180%
  2. 200%
  3. 220%
  4. 240%

  Answer :

  Option C

  Explanation:

  Required Percentage will be
  \begin{aligned}
  \frac{80-25}{25}*100\% \\
  = 220 \%
  \end{aligned}