Question 22191: Albert owns 52% of the company, Bert owns 24% of the company, Carl owns 12% of the company, and Dan owns 12% of the company. Dan wants to sell his 12% to the other three owners for $59,000.00. How much should each pay to Dan? What percentage would they now own if the ratio remains the same?
Answer by philberg99(10)   (Show Source):
You can put this solution on YOUR website! The ratio of Albert, Bert, and Carl is 52:24:12 or if we divided everything by 4 to reduce it, the ratio is 13:6:3. So if Dan is selling his share for $59,000.00 it would need to be divided up into 22 parts, with Albert getting 13 parts, Bert getting 3 parts, and Carl getting 3 parts. Each part would be 59,000/19 = $2681.82 So If Albert is getting 13 parts, he would pay $2681.82 * 13 = $34863.64.
Bert is getting 6 parts, so he would pay $2681.82 * 6 = $16090.91. Carl is getting 3 parts, so he would pay $8045.45.
As for the new percentages, Albert acquired 13/22 of the 12%, so he owns 52+12*13/22 = 59.09%. Bert acquired 6/22 of the 12% so he now owns 24+12*6/22 = 27.27%. Finally, Carl acquired 3/22 of the 12% so he now owns 12+12*3/22 = 13.64%.
Hope you don't get lost in all the numbers.
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