Find the percentage of increment in total market value in 2003 over 2002 given:

- Total shares in 2002 = 10,000 shares increased by 20%.
- Price per share in 2002 = ₹75.
- Price per share in 2003 decreased by 5% from 2002 price.
- Total shares in 2003 = 30,000.

Question

Find the percentage of increment in total market value in 2003 over 2002 given:

- Total shares in 2002 = 10,000 shares increased by 20%.
- Price per share in 2002 = ₹75.
- Price per share in 2003 decreased by 5% from 2002 price.
- Total shares in 2003 = 30,000.

Accepted Answer

**Solution:**

1. Calculate total shares in 2002:
   - Given 10,000 shares increased by 20%, so
   $$	ext{Total shares in 2002} = 10000 	imes \frac{120}{100} = 12000$$

2. Calculate total market value in 2002:
   - Price per share in 2002 = ₹75
   - Total market value = Number of shares × Price per share
   $$12000 	imes 75 = 900000 	ext{ Rs.}$$

3. Calculate price per share in 2003:
   - Price decreased by 5% from ₹75
   $$75 	imes \frac{95}{100} = \frac{285}{4} = 71.25 	ext{ Rs.}$$

4. Calculate total market value in 2003:
   - Total shares in 2003 = 30,000
   $$30000 	imes 71.25 = 2137500 	ext{ Rs.}$$

5. Calculate percentage increment in total market value from 2002 to 2003:
   $$\frac{2137500 - 900000}{900000} 	imes 100 = \frac{1237500}{900000} 	imes 100 = 137.5\%$$

**Answer:** 137.5\%

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