Math Problem Statement

Jim also bought 250 shares of Nvidia (NVDA) at $276 in April 2023. In February this year when NVDA was trading at 651.36, he sold 100 shares but kept the other 150. You are going to (a) determine his profit/loss on the NVDA shares he bought and sold in $ and as a % (b) and also determine the value of the shares he still has.

How do I do this tell me step by step because im confused

Solution

Let's break this down step by step!

Part (a) - Determine the Profit/Loss on the NVDA Shares He Bought and Sold

  1. Identify the details:

    • Jim bought 250 shares at $276 each in April 2023.
    • In February 2024, NVDA's price was $651.36 per share.
    • Jim sold 100 shares in February 2024.
  2. Calculate the amount Jim spent to buy the 100 shares:

    • 100 shares × $276 per share = $27,600. This is how much Jim spent to buy the 100 shares he sold.
  3. Calculate how much Jim received when he sold the 100 shares:

    • 100 shares × $651.36 per share = $65,136. This is the total amount Jim received when selling the 100 shares.
  4. Determine Jim’s profit/loss on the 100 shares sold:

    • Profit/Loss = Amount received - Amount spent
    • Profit/Loss = $65,136 - $27,600 = $37,536. Jim made a profit of $37,536 on the 100 shares he sold.
  5. Now, calculate the profit as a percentage:

    • Formula for percentage profit = (Profit / Cost price) × 100
    • Profit = $37,536
    • Cost price = $27,600 (the amount Jim spent to buy the 100 shares)
    • Percentage Profit = ($37,536 / $27,600) × 100 ≈ 136%.

Part (b) - Determine the Value of the Shares Jim Still Has

  1. Identify the remaining shares Jim has:

    • Jim originally bought 250 shares, and he sold 100 shares, so he has 150 shares left.
  2. Calculate the current value of those 150 shares (in February 2024):

    • 150 shares × $651.36 per share = $97,704. This is the value of the 150 shares Jim still has.

Summary of Answers:

  • Profit/Loss in $: Jim made a profit of $37,536 from the 100 shares he sold.

  • Profit as a %: Jim made a 136% profit on the 100 shares he sold.

  • Value of the shares Jim still has: The value of the remaining 150 shares is $97,704.


Let me know if you'd like more clarification on any part of this process!

Here are 5 questions related to this topic:

  1. How would Jim’s profit change if he sold the 100 shares at a different price?
  2. How can you calculate the total profit if Jim sells all his remaining 150 shares at the current price?
  3. What would Jim's profit/loss be if NVDA's stock price dropped instead of increased?
  4. How do you calculate the total value of stocks if you have a different number of shares at the same price?
  5. If Jim bought 200 shares instead of 250, how would his profit/loss on the sold shares change?

Tip:

Always make sure to break down the problem into smaller steps, like first calculating the total spent, then the amount received, and finally the difference for profit/loss. This will help keep everything organized!

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Math Problem Analysis

Mathematical Concepts

Profit and Loss
Percentage Calculations
Stock Valuation

Formulas

Profit/Loss = Amount Received - Amount Spent
Percentage Profit = (Profit / Cost Price) × 100
Total Value of Shares = Number of Shares × Price Per Share

Theorems

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Suitable Grade Level

Grades 10-12