Question

13. Four-fifth of a number is 25 more than
60% of that number. What is 70% of
that number?
(1) 87.5
(2) 92.5
(3) 95
(4) None of the above​

Answer 1

$\bf \underline{ \underline{\maltese\:Given} }$

⟹ Four fifth of a number is 25 more than 60% of that number.

$\bf \underline{ \underline{\maltese\:To \: find } }$

$\sf \implies 70 \: \% \: of \: the \: number = \: ?$

$\bf\underline{ \underline{\maltese\: Solution } }$

$\implies \sf Let \: the \: number \: be \: x.$

$\sf \underline{Then, according \: to \: the \: question},$

$\sf \implies \dfrac{4x}{5} =(60\ \% )x+25$

$\sf \implies\dfrac{4x}{5}= \dfrac{60x}{100} +25$

$\sf \implies\dfrac{4x}{5} - \cancel\dfrac{60x}{100} = 25$

$\sf \implies\dfrac{4x}{5} - \dfrac{3x}{5} = 25$

$\sf \implies\dfrac{4x - 3x}{5} = 25$

$\sf \implies\dfrac{x}{5} = 25$

$\sf \implies x = 5 \times 25$

$\sf \implies x = 125$

$\sf \: Now, we \: will \: found : 70\:\%\: of \:125$

$\sf \implies \dfrac{70}{100} \times125$

$\sf \implies \dfrac{70}{20} \times25$

$\sf \implies 87.5$

$\underline{ \boxed{ \bf \red{\bf Therefore, 70 \: \% \: of \: the \: number = 87.5}}}$