Question

Find the Marked price of a book which is sold at rupees 1100 after allowing a discount of 45%

Answer 1

Explanation:

`\underline{ \underline{ \text{Given}}} :`

• Selling price of a book [ SP ] = Rs 1100
• Discount % [ Dis % ]= 45 %

`\underline{ \underline{ \text{To \: find}}}:`

• Marked price of a book ( MP )

Let marked price of a book be ' x ' .

`\text{Selling \: price = MP - dis\% \: of \: MP}`

Plug the known values and then solve for x :

⟼
`\tt{1100 = x - 45\% \: of \: x}`

⟼
`\tt{1100 = x - (45)/(100) * x}`

⟼
`\tt{1100 = x - (45)/(100) x}`

⟼
`\tt{1100 = (100x - 45x)/(100)}`

⟼
`\tt{1100 = (55x)/(100)}`

⟼
`\tt{55x = 1100 * 100}` { Applied cross product property }

⟼
`\tt{55x = 110000}`

⟼
`\tt{ (55x)/(55) = (110000)/(55)}` { Divided both sides by 55 }

⟼
`\tt{x = Rs \: 2000}`

`\pink{ \boxed{ \boxed{ \tt{Our \: final \: answer : \boxed{ \underline{ \text{ \: Rs \: 2000}}}}}}}`

Hope I helped ! ♡

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