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250% of x is increased by 250% to become 350. What is the va

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huda
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250% of x is increased by 250% to become 350. What is the va [#permalink] New post   09 Jan 2020, 03:55
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250% of x is increased by 250% to become 350. What is the value of x?

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40
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Re: 250% of x is increased by 250% to become 350. What is the va [#permalink] New post   09 Jan 2020, 10:08
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This is not a hard question.

Translating

\(250\)% \(x \times 250\)% \(= 350\)

\(2.5 x \times 2.5 =350\)


Solve for x and x = 40
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Re: 250% of x is increased by 250% to become 350. What is the va [#permalink] New post   09 Jan 2020, 11:17
Carcass wrote:
This is not a hard question.

Translating

\(250\)% \(x \times 250\)% \(= 350\)

\(2.5 x \times 2.5 =350\)


Solve for x and x = 40



Solving for \( x\), I got \( 56 \).

\(x \) = \(\frac{ 350 }{ 2.5 \times 2.5 }\) = \(56\)

Would you like to check ur solution again please. thanks.
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Re: 250% of x is increased by 250% to become 350. What is the va [#permalink] New post   09 Jan 2020, 11:49
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sorry. a typo. when a quantity is increased by 250% actually it is multiplied by 3.5

\(2.5 x \times 3.5 =350\)

:)
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Re: 250% of x is increased by 250% to become 350. What is the va [#permalink] New post   09 Jan 2020, 12:03
Carcass wrote:
sorry. a typo. when a quantity is increased by 250% actually it is multiplied by 3.5

\(2.5 x \times 3.5 =350\)

:)



when a quantity is increased by 250% actually it is multiplied by 3.5 ----Why?
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Re: 250% of x is increased by 250% to become 350. What is the va [#permalink] New post   09 Jan 2020, 12:14
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This is a basic yet fundamental % rule.

If x is increased by 50% you multiply directly x * 1.5 = 100 + 50. Increased by 250 = 100+250= 3.5 and so forth.

On the flip side if x is decreased by 40% you multiply x * 0.6 (100-40).

Hope this helps
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Re: 250% of x is increased by 250% to become 350. What is the va [#permalink] New post   28 Jan 2020, 05:21
huda wrote:
250% of x is increased by 250% to become 350. What is the value of x?

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40



250% OF x is = (\(\frac{250}{100}\)) * x = 2.5x

n INCREASED BY 250% means

n + (250% of n) = n + (\(\frac{250}{100}\))n = n + 2.5n = 3.5n

Therefore, [250% OF x ] INCREASED BY 250% is = (2.5x) * 3.5
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Re: 250% of x is increased by 250% to become 350. What is the va [#permalink] New post   15 Sep 2023, 21:59
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Increase a number by 250%, you are adding 100% to 250% for a total of 350%. Therefore, multiply by 3.5
(NOT 2.5).
2.5x(3.5) = 350
8.75x = 350
x = 40
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Re: 250% of x is increased by 250% to become 350. What is the va [#permalink]
15 Sep 2023, 21:59
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