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The question ask about how much gasoline he needs to cut but basic formula should assume the same volume of gasoline usage.

So:

1st - Initial Volume * Price
2nd - Initial Volume * 1.25*Price (increased by 25%)

Now, we know that he can only afford 15% increase - 1.15*Price, but the price cannot be reduced, so now we look by what percent whole equation needs to be reduced -->

Initial Volume * 1.15*Price / Initial Volume * 1.25*Price = 1.15/1.25 = 23/25 = 92/100 - so we need to reduce volume by 8%.

Check:
Initial Volume * 1.15 Price = New Volume * 1.25 Price
1.15 Initial Volume = 1.25 New Volume
0.92*Initial Volume = New Volume
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Price of gas
Before - 100
After - 125

Can Spend
Before - 100
After - 115

Cut Down = 125 - 115
= 10

Percent cut down = 10/125 * 100 = 8%
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In the last part (Highlighted), it should be [New volume = 0.92 * Initial Volume]
Meaning the new volume is 92% of the initial volume, which represents an 8% usage cut.
Pawel89
The question ask about how much gasoline he needs to cut but basic formula should assume the same volume of gasoline usage.

So:

1st - Initial Volume * Price
2nd - Initial Volume * 1.25*Price (increased by 25%)

Now, we know that he can only afford 15% increase - 1.15*Price, but the price cannot be reduced, so now we look by what percent whole equation needs to be reduced -->

Initial Volume * 1.15*Price / Initial Volume * 1.25*Price = 1.15/1.25 = 23/25 = 92/100 - so we need to reduce volume by 8%.

Check:
Initial Volume * 1.15 Price = New Volume * 1.25 Price
1.15 Initial Volume = 1.25 New Volume
0.92*New Volume = Inital Volume
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Pawel89
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Thanks, you are absolutely right, have already corretced my answer. Don't know why I switched eq sides.
D3N0
In the last part (Highlighted), it should be [New volume = 0.92 * Initial Volume]
Meaning the new volume is 92% of the initial volume, which represents an 8% usage cut.
Pawel89
The question ask about how much gasoline he needs to cut but basic formula should assume the same volume of gasoline usage.

So:

1st - Initial Volume * Price
2nd - Initial Volume * 1.25*Price (increased by 25%)

Now, we know that he can only afford 15% increase - 1.15*Price, but the price cannot be reduced, so now we look by what percent whole equation needs to be reduced -->

Initial Volume * 1.15*Price / Initial Volume * 1.25*Price = 1.15/1.25 = 23/25 = 92/100 - so we need to reduce volume by 8%.

Check:
Initial Volume * 1.15 Price = New Volume * 1.25 Price
1.15 Initial Volume = 1.25 New Volume
0.92*New Volume = Inital Volume
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