Question

find the number which when increased by 25% becomes 500​

Answer 1

hope it helps...............

Answer 2

The number 400 which when increased by 25% becomes 500

Given :

A number which when increased by 25% becomes 500

To find :

The number

Solution :

Step 1 of 2 :

Form the equation to find the number

Let the required number = n

By the given condition

$\displaystyle \sf{n +\bigg( \: n \times \frac{25}{100} \: \bigg) = 500 }$

Step 2 of 2 :

Find the number

$\displaystyle \sf{ }n +\bigg( \: n \times \frac{25}{100} \: \bigg) = 500$

$\displaystyle \sf{ \implies n +\bigg( \: n \times \frac{1}{4} \: \bigg) = 500}$

$\displaystyle \sf{ \implies n + \frac{n}{4} = 500}$

$\displaystyle \sf{ \implies \frac{4n + n}{4} = 500}$

$\displaystyle \sf{ \implies \frac{5 n}{4} = 500}$

$\displaystyle \sf{ \implies n = 500 \times \frac{4}{5} }$

$\displaystyle \sf{ \implies n = 400}$

Hence the required number = 400

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