https://file.aiquickdraw.com/mathbot/file/1730388199968bhybpk06.jpg

To solve this problem, let’s go through each step in the valuation of the investment.

1. **Initial Purchase Price:**  
   The investor bought a lot of stocks for R$ 1,200.00.

2. **First Month Increase (5%):**  
   In the first month, the lot appreciated by 5%. The calculation for the new value after this appreciation is:
   \[
   1,200 \times (1 + 0.05) = 1,200 \times 1.05 = 1,260
   \]
   So, the value of the lot after the first month is **R$ 1,260.00**.

3. **Second Month Increase (10%):**  
   In the second month, there was a further increase of 10%. We apply this increase to the new value:
   \[
   1,260 \times (1 + 0.10) = 1,260 \times 1.10 = 1,386
   \]
   Thus, after the second increase, the selling value of the lot becomes **R$ 1,386.00**.

### Final Answer:
The value of the lot when the investor sold it was **R$ 1,386.00**.

Would you like a more detailed explanation or have any questions?

Here are 5 related questions to deepen understanding:

1. What would the final value be if there was an additional 5% decrease after the second month?
2. How does compounding affect investment growth over multiple months?
3. What is the difference in final value if the increases were 10% first and then 5%?
4. How do you calculate percentage increases on an investment over several months?
5. What would be the loss if the investment dropped by 5% after the two increases?

**Tip:** When calculating consecutive percentage changes, always apply the percentage to the latest value, not the original.

Um investidor comprou um lote de ações na bolsa de valores por R$ 1.200,00. No primeiro mês, houve valorização do lote, e o valor aumentou em 5%. No segundo mês, houve um novo aumento de 10%. Após esses dois aumentos, o investidor resolveu vender o lote. O valor de venda do lote de ações foi

Learn how to calculate the final value of an investment in stocks after consecutive monthly increases of 5% and 10%. This solution explains percentage increase and compounding principles, ideal for Grades 9-11.

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