Sam, Domenic, and Sal invested $200,000, $125,000 and $150,000 respectively in a business. In order to expand a further investment was required. Sal invested $200,000. If the other partners agreed to provide capital in the same ratio as the initial investment, how much did Sam and Domenic invest?

Question

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Initially, Sam, Domenic, and Sal invested in the ratios of 200,000:125,000:150,000. Simplifying, this ratio becomes 8:5:6. Sal's additional investment of $200,000 maintains his share, so to keep the ratio constant, Sam and Domenic must invest additional amounts in the 8:5 ratio. The total additional investment is $200,000 (Sal's part), making the total additional required investment $400,000 (to maintain the 8:5:6 ratio). Sam's share of the total investment is 8 parts out of the total 19 parts (8+5+6), so he must invest 8/19 of the total additional investment, which is $266,667. Domenic's share is 5 parts out of 19, so he must invest 5/19 of the total additional investment, which is $166,667.

Sam, Domenic, and Sal Invested $200,000, $125,000 and $150,000 Respectively