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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%?

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evgeniylevi
Consider, pls, this option:
1) let start price is 'x' and the 1-t increasing is 'y';
2) after the 1-t increasing new1_price is x(y+1);
3) after the 2-d increasing new2_price is 1.25x(y+1);
4) from another side, new2_price is '2x';
5) according to five items it is possible to make up an equation: 1.25x(y+1)=2x; 
1.25(y+1)=2, y=8/5 -1=3/5=0.6.
0.6 means 60%.
Answer: 60%.
snehashish65

The percentage increase in the first demand is 60 %.

Given data:

The second percentage increase in price is, 25%.

Let the initial price in first demand increases by x. And for increment of second demand be y.

Then after the first demand, the new price will be, x(y + 1).

Since, there is 25% increment in second demand, which implies that:

= [tex]=1+\dfrac{25}{100}\\=1.25[/tex]

Then, new price for the second demand is, 1.25x(y+1).

After the second increase the price for a certain item became twice as big as the original. Which means the price of first demand becomes, 2x.

So, the equation is,

1.25x (y + 1) = 2x

Solving as,

[tex]1.25(y+1)=2\\y = 0.6 \\y = 0.6 \times 100 = 60 \%[/tex]

Thus, we can conclude that the percentage increase in the first demand is 60 %.

Learn more about the equations here:

https://brainly.com/question/24169758

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