Math, asked by AgniGamerz, 2 months ago

What number when increased by 25% becomes 250 ?​

Answers

Answered by donkey5
3

Answer:

In the question it is told that when a number increased by 25% becomes 250.

so, we can say that-

(The number) + 25% of (that number) = 250

=The number + 25/100 × (that number) = 250

So we can consider the number to be x.

Let \:  the  \: number \:  be \:  x. \\  \therefore \: ATQ \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \\

hence, \\ \\  x +  \frac{25}{100}  \times x = 250 \\\implies x(1 +  \frac{25}{100} )  = 250\:  \:  \:  \:  \:  \:  \:  \:[ by \: distributive \: law] \\  \implies \: x( \frac{100 + 25}{100} )  = 250\\  \implies \: x \times  \frac{125}{100}  = 250 \\ \implies x = 250 \times \frac{100}{125}  \\  \implies \: x = 200

 \therefore x = 200

Hence the number is 200.

you can check that also-

the number increased by 25% equals to 250.

that means

LHS

=200+ 25% of 200

=200+25/100×200

=200+50

=250

RHS=250

As LHS=RHS

Therefore it is verified.

HOPE THIS HELPS...

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Answered by Anonymous
2

Answer:

Mark the above answer as brainiest

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