Y Ltd made pro rata allotment of shares of rupees 10 each in the ratio...
Y Ltd Pro Rata Allotment of Shares
To answer the question, let's break it down into several key points and calculations:
1. Ratio of Pro Rata Allotment:
- The ratio of pro rata allotment is given as 3:2.
- This means that for every 3 shares allotted to one shareholder, 2 shares are allotted to another shareholder.
2. Initial Allotment:
- Let's assume that Gopi applied for 'x' number of shares.
- According to the given ratio, Gopi would be allotted (3/5) * x shares.
- Therefore, Gopi was initially allotted (3/5) * x shares.
3. Failure to Pay Calls:
- Gopi failed to pay both the calls on his allotted shares.
- As a result, his shares were forfeited.
4. Reissue of Forfeited Shares:
- 2/3rd of the forfeited shares were reissued by the company.
- Let's calculate the number of shares reissued:
- (2/3) * (3/5) * x shares were reissued.
- This gives us (2/5) * x shares reissued.
5. Reissue Price and Maximum Permissible Discount:
- The reissued shares were sold for Rs 2200.
- The maximum permissible discount given was Rs 1200.
- Therefore, the actual price of the reissued shares is (2200 + 1200) = Rs 3400.
- This price is considered as fully paid up.
6. Calculating the Value of each Share:
- The value of each share can be calculated by dividing the total price by the number of shares reissued.
- Value per share = 3400 / [(2/5) * x] = 8500 / x
7. Calculating the Number of Applied Shares:
- To find the number of shares Gopi applied for, we need to calculate the value of 'x' using the value per share.
- Since Gopi purchased the reissued shares, his total payment would be Rs 2200.
- Therefore, the number of shares Gopi applied for can be calculated as:
- 2200 = 8500 / x
- x = 8500 / 2200
- x ≈ 3.86
8. Conclusion:
- Gopi must have initially applied for approximately 3.86 shares.
- However, since shares cannot be fractionally applied, Gopi would have applied for 4 shares.
Thus, Gopi must have applied for 4 shares.
Y Ltd made pro rata allotment of shares of rupees 10 each in the ratio...