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Otrada [13]
4 years ago
10

Sarah sold her stock for $56.25 A share, which reflected a ROI of 7.7%. What was the original price of her stock?

Mathematics
1 answer:
V125BC [204]4 years ago
7 0

Her's stock original price was approximately $52.23 a share.

ROI is found by dividing the gain from the investment minus the cost of the investment by the cost of the investment: ROI = \frac{gain-cost}{cost}
We know the ROI (7.7%, or 0.077) and the gain ($56.25).

0.077=\frac{56.25-cost}{cost} ⇔ 0.077=\frac{56.25}{cost}-\frac{cost}{cost} ⇔ 0.077=\frac{56.25}{cost}-1 ⇔ 1.077=\frac{56.25}{cost} ⇔ cost=\frac{56.25}{1.077} ⇔ cost≈52.23
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