Question

Rajat's height is 12% less than Purab's height. By what
er cent is Purab's height more than Rajat'​

Answer 1

$\large\underline{\underline{\sf Given:}}$

• Rajat height is 12% less than Purab's height .

$\large\underline{\underline{\sf To\:Find:}}$

• By what percent Purab's height more than Rajat = ?

$\large\underline{\underline{\sf Solution:}}$

Let ,

• Height of purab = x

$\large\underline{\underline{\sf According\:to\: Question:}}$

Rajat height = 12% of purab's height

$\large\implies{\sf \frac{12}{100}×x}$

$\large\implies{\sf \frac{3x}{25} }$

Percent of Purab height more than Rajat :

$\large\implies{\sf \dfrac{x}{x+\frac{3x}{25}}×100}$%

$\large\implies{\sf \frac{25x}{28x}×100 }$%

$\large\implies{\sf 0.89×100 }$%

$\large\implies{\sf 89}$%

$\large\underline{\underline{\sf Answer:}}$

Purab's height is 89% more than the height of Rajat .