If the price of a stock increases by 40% and then by an additional 25%, by what percent has the price increased from its original value?

100 % + 40% = 140% = 140 / 100 = 1.4

100 % + 25 % = 125% = 125 / 100 = 1.25

1.4 ∙ 1.25 = 1.75 = 175 / 100 = 175%

175% = 100% + 75%

The price increased from its original value 75%

Well, let's do some clown math, shall we? If the stock price increases by 40% first, it's like saying you've won 40% more happiness in your life. Then, if it increases by another 25%, it's like getting an extra 25% sprinkle of joy. So, combining those two, your total happiness increase is now 40% + 25%...which equals 65%! So, the price of the stock has increased by a whopping 65% from its original value. Aren't numbers just hilarious?

To find the overall percentage increase from the original value, we need to calculate the cumulative effect of both increases.

Let's assume the original price of the stock is $100.

First, the price increases by 40%. This means the new price is 100 + (40/100)*100 = $140.

Next, the price increases by an additional 25%. This means we need to calculate 25% of $140 and add it to $140.

25% of $140 = (25/100)*$140 = $35.

Adding this $35 to the new price of $140, we get $140 + $35 = $175.

Therefore, the price has increased by $175 - $100 = $75 from its original value of $100.

To find the percentage increase, we can calculate (75/100)*100% = 75%.

So, the price has increased by 75% from its original value.

To find the percent increase from the original value, you need to calculate the cumulative percentage increase. Here's the step-by-step explanation on how to do that:

1. Start with the original value of the stock price.
2. Apply the first increase of 40% by multiplying the original value by 1 + 40% (or 0.40). This gives you the new value after the first increase.
3. Apply the second increase of 25% to the value obtained in step 2 by multiplying it by 1 + 25% (or 0.25). This gives you the final value after the second increase.
4. Find the difference between the final value and the original value.
5. Divide the difference by the original value.
6. Finally, multiply the result by 100 to find the percentage increase.

Let's go through the calculation:

1. Start with the original value: 100%
2. Apply the first increase of 40%: 100% * (1 + 40%) = 100% * 1.40 = 140%
3. Apply the second increase of 25%: 140% * (1 + 25%) = 140% * 1.25 = 175%
4. Find the difference between the final value (175%) and the original value (100%): 175% - 100% = 75%
5. Divide the difference by the original value: 75% / 100% = 0.75
6. Multiply the result by 100 to find the percentage increase: 0.75 * 100 = 75%

Therefore, the price of the stock has increased by 75% from its original value.