Step-by-step explanation:
[tex] \underline{ \underline{ \text{Given}}} : [/tex]
[tex] \underline{ \underline{ \text{To \: find}}}: [/tex]
Let marked price of a book be ' x ' .
[tex] \text{Selling \: price = MP - dis\% \: of \: MP}[/tex]
Plug the known values and then solve for x :
⟼ [tex] \tt{1100 = x - 45\% \: of \: x}[/tex]
⟼ [tex] \tt{1100 = x - \frac{45}{100} \times x}[/tex]
⟼ [tex] \tt{1100 = x - \frac{45}{100} x}[/tex]
⟼ [tex] \tt{1100 = \frac{100x - 45x}{100}} [/tex]
⟼ [tex] \tt{1100 = \frac{55x}{100}} [/tex]
⟼ [tex] \tt{55x = 1100 \times 100}[/tex] { Applied cross product property }
⟼ [tex] \tt{55x = 110000}[/tex]
⟼ [tex] \tt{ \frac{55x}{55} = \frac{110000}{55}} [/tex] { Divided both sides by 55 }
⟼ [tex] \tt{x = Rs \: 2000}[/tex]
[tex] \pink{ \boxed{ \boxed{ \tt{Our \: final \: answer : \boxed{ \underline{ \text{ \: Rs \: 2000}}}}}}}[/tex]
Hope I helped ! ♡
Have a wonderful day / night ! ツ
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