Ali, David and Priya agree to invest $\$315\,000$, $\$420\,000$ and $\$285\,000$ respectively

Question

Ali, David and Priya agree to invest $\$315\,000$, $\$420\,000$ and $\$285\,000$ respectively into a project, and they cooperate with a technological university to develop their project. The university does not invest money into the project but will share $20\%$ of the profit of this project. The rest of the profit will be shared by Ali, David and Priya according to the ratio of their investments. Find the ratio of Ali, David and Priya’s investments in the simplest form. Find the fraction of total profit that Ali, David and Priya share, respectively. Suppose the project yields a total profit of $\$2\,550\,000$. Find the amount of profit that Ali, David, Priya and the university received, respectively.

Accepted Answer

(i) $21:28:19$ (ii) Ali: $\frac{21}{85}$, David: $\frac{28}{85}$, Priya: $\frac{19}{85}$ (iii) Ali: $630\,000$ dollars, David: $840\,000$ dollars, Priya: $570\,000$ dollars, university: $510\,000$ dollars

Ratio

Ratio

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