Find the total number of shares and each partys share


Please help me out of this question.

A founder holds 10,000 shares in an early stage company. The seed investor has invested $20,000 as a convertible note with a cap of $16,000 and a discount of 20%. The note converts at the next equity financing round. A new investor emerges who wants to invest $30,000 for a 40% equity interest in the venture, which will result in a post-money value of $75,000.

Cap:

(a) At what value per share would the note convert? 

(b) How many shares will the note investor get?

(c) Based on pre-money value and shares, what is the value per share for the new investor? 

(d) How many shares would the new investor get for the $30,000 investment?

Discount:

(a) What are the pre- and post-money values?

(b) Find the price per share by solving the simultaneous system with the new investor getting 40% and the entrepreneur and prior investor getting a total of 60% of the shares.

(c) Find the total number of shares and each party's share holdings.

Is one of these alternatives better than the other? If so, which is better? Why?

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Business Management: Find the total number of shares and each partys share
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