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.
Find the percentage of increment in total market value in 2003 over 2002?
Correct Answer :
137.5%
Solution :
The correct option is 137.5%.
To find the percentage increment in the total market value in 2003 over 2002, we need to determine the total market value for both years. From Note (i), the formula for market value is:
Let's analyze the graphs to extract the relevant data:
Step 1: Calculate the Total Market Value in 2002
From the first bar graph ("Total shares"), the total number of shares in the year 2001 is .
From Note (ii), the number of shares increased by from 2001 to 2002. Therefore, the number of shares in 2002 is:
From the second bar graph ("Price per share (in Rs.)"), the price of one share in the year 2002 is .
Using these values, we calculate the total market value in 2002:
Step 2: Calculate the Total Market Value in 2003
From the first bar graph ("Total shares"), the total number of shares in the year 2003 is .
From Note (ii), the price of a share decreased by from 2002 to 2003. Since the price in 2002 was , the price of a share in 2003 is:
Now, calculate the total market value in 2003:
Step 3: Calculate the Percentage Increment in Market Value
The increment in market value from 2002 to 2003 is:
The percentage increment is calculated as:
Simplifying the fraction:
Thus, the percentage increment in the total market value in 2003 over 2002 is 137.5%.
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