Read the data carefully and answer the questions.

Note: (i) Market value = Total number of shares × price of one share
(ii) Number of shares increased by 20% from 2001 to 2002 and price of share decreased by 5% from 2002 to 2003.
(iii) Price of share decreased by 12% from 2005 to 2006 and number of shares decreased by 10% 2005 to 2006.

If total number shares in 2004 are 1750 more than average number of shares in 2003 and 2006, then find average number of shares from 2001 to 2006.

Correct Option: 21250

To find the average number of shares from 2001 to 2006, we first need to determine the number of shares for each year using the details from the bar charts and the given conditions.

Step 1: Extract the number of shares for known years from the "Total shares" chart:
- Total shares in 2001 = 10,000
- Total shares in 2003 = 30,000
- Total shares in 2005 = 25,000

Step 2: Calculate the number of shares in 2002:
According to Note (ii), the number of shares increased by 20% from 2001 to 2002.

$\text{Shares in 2002}=10000\times (1+\frac{20}{100})=10000\times 1.20=12000$

Step 3: Calculate the number of shares in 2006:
According to Note (iii), the number of shares decreased by 10% from 2005 to 2006.

$\text{Shares in 2006}=25000\times (1-\frac{10}{100})=25000\times 0.90=22500$

Step 4: Calculate the number of shares in 2004:
First, find the average number of shares in 2003 and 2006:

$\text{Average shares}\left(2003\text{and}2006\right)=\frac{30000+22500}{2}=\frac{52500}{2}=26250$

The total number of shares in 2004 is 1750 more than this average:

$\text{Shares in 2004}=26250+1750=28000$

Step 5: Calculate the average number of shares from 2001 to 2006:
Sum of shares from 2001 to 2006:

$\text{Sum}=10000+12000+30000+28000+25000+22500=127500$

Now, find the average over the 6 years:

$\text{Average}=\frac{127500}{6}=21250$