Question

A number inceased when by 20% gives 96. then the find number?

Answer 1

Answer:

Let the number be X

increase it by 20% = X + X × 20/100 = 120x/100

According to the question , 120x/100 = 96

X = 96 × 100 / 120

= 80

Therefore the actual number is 80

Answer 2

Given :-

• A no. increased by 20% gives 96.

To find :-

• The number = ?

Solution :-

Let the no. be x

$:\implies\bold{x \times \dfrac{20}{100}}$

$:\implies\bold{x \times \dfrac{2}{10}}$

$:\implies\bold{x \times \dfrac{1}{5}}$

$:\implies\bold{ \dfrac{x}{5}}$

$:\implies\bold{ \dfrac{x}{5} + 20}$

$:\implies\bold{ \dfrac{x + 100}{5} }$

$:\implies\bold{ \dfrac{x + 100}{5} = 96}$

$:\implies\bold{{x + 100} = 480}$

$:\implies\bold{x= 380}$

• $\boxed{\sf\red{The~no.~is~380}}$

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Verifying :-

$: \implies\bold{380 \times \dfrac{20}{100} }$

$: \implies\bold{380 \times \dfrac{2}{10} }$

$: \implies\bold{380 \times \dfrac{1}{5} }$

$: \implies\bold{76 }$

$: \implies\bold{96}$

Hence , verified.