Question

If the number B is 10% less than
another number C and C is 5%
more than 150, then B is equal to
​

Answer 1

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

$\sf \implies B \: is \: 10 \% \: less \: than \: another \: number \: C$

$\sf \implies C \: is \: 5 \% \: more \: than \: 150$

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

$\sf \implies \: Value \: of \: B = \: ?$

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

$\sf \implies C \: is \: 5 \% \: more \: than \: 150$

$\small{ \bf So},$

$\sf \implies C = 150 + 5 \% \: of \: 150$

$\sf \implies C = 150 + \dfrac{5}{100} \times 150$

$\sf \implies C = 150 + {\dfrac{5}{ {2}}} \times {3}$

$\sf \implies C = 150 + 2.5 \times {3}$

$\sf \implies C = 150 + 7.5$

$\sf \implies C = 157.5$

$\sf \implies \boxed{ \sf Value \: of \: C \: is \: 157.5 } \: \: \bigstar$

$\quad$

$\small{ \bf Now },$

$\sf \implies B \: is \: 10 \% \: less \: than \: another \: number \: C$

$\small{ \bf So},$

$\sf \implies B = 157.5 - 10 \% \: of \: 157.5$

$\sf \implies B = 157.5 - \dfrac{10}{100} \times 157.5$

$\sf \implies B = 157.5 - \dfrac{1}{10} \times 157.5$

$\sf \implies B = 157.5 - \dfrac{157.5}{10}$

$\sf \implies B = 157.5 - 15.75$

$\sf \implies B = 141.75$

$\small{ \bf Therefore},$

$\sf \implies \underline{\boxed{ \sf B \: is \:equal\: to\:141.75}}\: \: \bigstar$