Question

12 is 90% of what number?


with steps

Answer 1

Let's understand the concept:-

• Here 12 is 90% of a number.
• So we can say that 90% of That number is 12 .
• In this way we can get the the number

Solution:-

Let,

the number=x

According to the question ,

`{:}\longrightarrow`
`\sf 90\% \:of \;x=12`

• We know 90%=90/100
• so add it

`{:}\longrightarrow`
`\sf {\frac {90}{100}}* x=12`

`{:}\longrightarrow`
`\sf {\frac {90x}{100}}=12`

• Now use cross multiplication method

`{:}\longrightarrow`
`\sf 90x=12* 100`

`{:}\longrightarrow`
`\sf 90x=1200`

• Now interchange sides .

`{:}\longrightarrow`
`\sf x={\frac {1200}{90}}`

`{:}\longrightarrow`
`\sf x={\frac {200}{15}}`

• Answer will come in decimals so we take approximate value.

`{:}\longrightarrow`
`\sf x=13.3`

`{:}\longrightarrow`
`\sf x=approximately \:13`

`\therefore`The number is 13.