Due to inflation there were two demand increases. After the second increase the price for a certain item became twice as big as the original. By what percent was the first increase, if the second increase was 25%?

can you solve this fast

x * 1.25 = 2

x = 1.6
so, the first increase was 60%

60%

60 percent

Turn the 25% increase into a decimal = 1.25

Write equation:
X * 1.25 = 2
X = 1.25 / 2
x = 1.6
Turn 1.6 into a percent and you get 60%, which, believe it or not...Gets you the answer! *GAZPPPPPPPPPPPPPPPPPPPPPPP*

60%

100-40=60+10000-1000 times 10=60/100=0.6 turn that to a percent

To solve this problem, we need to break it down into smaller steps.

Step 1: Determine the original price of the item before any increases. Let's call this price "P".

Step 2: Calculate the price after the first increase. Since the first increase is unknown, let's call it "X". So, the price after the first increase would be P + X (original price plus the increase).

Step 3: Calculate the price after the second increase. We know that the second increase is 25%, which means the price after the second increase is 1.25 times the price after the first increase. Therefore, the price after the second increase is (P + X) * 1.25.

Step 4: According to the problem, the price after the second increase is twice as big as the original price. So, we can set up an equation:

(P + X) * 1.25 = 2P

Step 5: Simplify the equation by expanding the left side:

1.25P + 1.25X = 2P

Step 6: Move the terms involving "P" to one side of the equation and the terms involving "X" to the other side:

1.25X - 0.75P = 0

Step 7: Divide by 0.75 to isolate X:

X = (0.75P) / 1.25

Step 8: Simplify the expression for X:

X = 0.6P

So, the first increase, represented by X, is 0.6 times the original price.

To find the percentage, we can calculate (0.6P / P) * 100:

Percentage of the first increase = 0.6 * 100 = 60%.

Therefore, the first increase was 60%.