Question

A number when decreased by 12.5% becomes .49. Find the original answer​

Answer 1

the answer of the question is 56

Answer 2

The original number is 56

Correct question : A number when decreased by 12.5% becomes 49. Find the original number

Given :

A number when decreased by 12.5% becomes 49

To find :

Find the number

Solution :

Step 1 of 2 :

Form the equation to find the original number

Let the original number = n

By the given condition

$\displaystyle \sf n - \bigg(n \times \frac{12.5}{100} \bigg)= 49$

Step 2 of 2 :

Find the original number

$\displaystyle \sf n - \bigg(n \times \frac{12.5}{100} \bigg)= 49$

$\displaystyle \sf{ \implies }n - \frac{12.5n}{100} = 49$

$\displaystyle \sf{ \implies } \frac{100n - 12.5n}{100} = 49$

$\displaystyle \sf{ \implies } \frac{87.5n}{100} = 49$

$\displaystyle \sf{ \implies }n = 49 \times \frac{100}{87.5}$

$\displaystyle \sf{ \implies }n = 56$

Hence the required original number = 56

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