Question

If 75% of a number is 255 and 20% of the same number is 68, find 95% of that
number

Answer 1

323

Explanation:

.75 x = 255

x = 255 / .75 = 340

340 * .95 = 323

Answer 2

`95`% of x (
`340`) =
`\boxed{\bf\:323}`

Explanation:

Let the number be taken as 'x'.

Given,

1. 
   `75`% of x =
   `255`
2. 
   `20`% of x =
   `68`
3. 
   `95`% of x =
   `\boxed{?}`

Then,

1)
`75`% of x =
`255`

`(75)/(100) x = 255\\(3)/(4)x=255 \\x=255* \left((4)/(3)\right) \\x=(255* 4)/(3) \\x=(1020)/(3) \\\underline {\bf\:x=340} \: \: \: \: \dashrightarrow eq. 1`

2)
`20`% of x =
`68`

`(20)/(100) x = 68\\(1)/(5) x = 68\\x = 68 * 5\\\underline{\bf\:x = 340 } \: \: \: \:\dashrightarrow eq.2`

We can see from eq.1 & eq.2 that we get the value of 'x' equal to
`\boxed{\bf\:340}` .

Now,

3)
`95`% of x =
`\boxed{?}`

`(95)/(100)*(340) \\= (19)/(20)* 340 \\= (19* 340)/(20) \\= (6460)/(20) \\= \boxed{\bf\:323 }`

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