Math Problem Statement

a stock price is 100 it drops to 80 % then the stock further drops to 90%,whats the drop between 80% and 90%

Solution

Let's break this down step by step:

  1. Initially, the stock price is 100100.

  2. The stock drops to 80%. That means the new price becomes:

    100×0.80=80100 \times 0.80 = 80

  3. Now, from this new price of 8080, the stock drops further to 90%. So the new price becomes:

    80×0.90=7280 \times 0.90 = 72

  4. The drop between 80% and 90% is the difference between the two prices:

    8072=880 - 72 = 8

So, the stock dropped by 8 units between 80% and 90%.

Would you like more details or have any questions?

Here are some related questions to deepen your understanding:

  1. What is the total percentage drop from the original stock price of 100 to 72?
  2. If the stock rises back to 100% after reaching 72, what will the new price be?
  3. What would be the stock price if it dropped to 70% of its initial value?
  4. How does compounding affect the price when multiple percentage drops are applied sequentially?
  5. What is the percentage drop from 80 to 72?

Tip: When dealing with sequential percentage changes, always calculate each step based on the new value rather than the original.

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Math Problem Analysis

Mathematical Concepts

Percentage Decrease
Sequential Percentage Changes

Formulas

New Price = Initial Price × Percentage
Price Difference = Initial Price - New Price

Theorems

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Suitable Grade Level

Grades 6-8