Math, asked by Sauron, 1 year ago

Hi Everyone,

A Math question....

By selling tickets for a show for Rs. 461 per ticket a profit of Rs.
15 \frac{1}{4}  \: percent \:
was made.

a.) Find the cost price

b.) What should be the Selling price to get a profit of 30 % ??

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Answers

Answered by Grimmjow
65

\textsf{8(a). Let the Cost Price of each Ticket be : CPT}\\\\\\\textsf{Given : Selling Price of each Ticket = 461 Rs}\\\\\\\sf{Given : Profit\;Percentage = \big(15 + \dfrac{1}{4}\big)\% = \dfrac{61}{4}\%}\\\\\\\sf{\bigstar\;\;We\;know\;that : \boxed{\sf{Profit\;Percentage = \bigg(\dfrac{Selling\;Price - Cost\;Price}{Cost\;Price}\bigg) \times 100}}}\\\\\\\sf{\implies \bigg(\dfrac{461 - CPT}{CPT}\bigg)\times 100 = \dfrac{61}{4}}


\sf{\implies ({461 - CPT})\times 400 = (61)(CPT)}\\\\\\\sf{\implies (461)(400) - (CPT)(400) = (61)(CPT)}\\\\\\\sf{\implies (461)(400) = (400)(CPT) + (61)(CPT)}\\\\\\\sf{\implies (461)(400) = (461)(CPT)}\\\\\\\sf{\implies CPT = 400}\\\\\\\sf{\implies \textsf{Cost Price of each Ticket = 400 Rs}}

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\sf{8(b).\;\; Given : Profit\;Percentage = 30\%}\\\\\\\textsf{We found that : Cost Price of each Ticket = 400 Rs}\\\\\\\textsf{Let the New Selling Price be : SPT}\\\\\\\textsf{Substituting all the above values in Profit Percentage Formula, We get :}\\\\\\\sf{\implies \bigg(\dfrac{SPT - 400}{400}\bigg) \times 100 = 30}\\\\\\\sf{\implies \bigg(\dfrac{SPT - 400}{4}\bigg) = 30}\\\\\\\sf{\implies (SPT - 400) = 30 \times 4}\\\\\\\sf{\implies (SPT - 400) = 120}


\sf{\implies SPT = 120 + 400}\\\\\\\sf{\implies SPT = 520}\\\\\\\sf{\implies \textsf{The Selling Price should be Rs. 520 to get a Profit of 30\%}}


Sauron: ☺️❤️Thank you so much!!! ❤️☺️
Answered by Anonymous
18

\huge\bigstar\underline{Answer}

\boxed{Cost\:Price\:=\:Rs\:400}

\boxed{Selling\:Price\:=\:Rs\:520}

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\huge\bigstar\underline{Explanation}

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