Maths Olympiad Prep

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, 1998

Algebra Difficulty 3.0 AMC 10/12 Prove it Canada

Jane bought 100 shares of stock at \$10.00 per share. When the shares increased to a value of \$N each, she made a charitable donation of all the shares to the Euclid Foundation. She received a tax refund of 60% on the total value of her donation. However, she had to pay a tax of 20% on the increase in the value of the stock. Determine the value of NN if the difference between her tax refund and the tax paid was \$1000.

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Source: CEMC, University of Waterloo, licensed CC-BY-NC-4.0. Statement reproduced verbatim; metadata (topic, difficulty) added by this project. Solutions are the publisher's, linked not copied.