Math, asked by sridevi8645, 3 months ago

the cost of an article was Rs 15,500rs450 were spent on tis repairs. if it is sold for a portion of, 15%find the selling price of the article. ​

Answers

Answered by prasanthikuchipudi
1

Answer:

18342.5

Step-by-step explanation:

Given,

the cost of an article was Rs 15,500

CP=15500

450 were spent on tis repairs.

total price=15500+450

               =15950

if it is sold for a profit of 15% find the selling price of the article. ​

CP=100%

Profit=SP-CP

SP=15+100

SP=115%

100%=15950

115%=18342.5

Answered by MasterDhruva
7

Correct Question :-

The cost of an article was Rs.15,500 and Rs.450 were spent on tis repairs. If it is sold for a profit of 15%. Find the selling price of the article.

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To Find :-

Selling price of the article...

\:

Formula required :-

{\tt \large \dashrightarrow \orange{\boxed{\tt \gray{\dfrac{(100 + profit \bf\%)}{100} \times cp}}}}

\:

How to do :-

Here, we are given that an article is bought at some cost. Due to it's damages some cost had been spent to it's repairs. Later, it had been sold at some profit. We should find the selling price at which the article is sold. The cost price is ₹15500 and the cost spent on it's repairs is ₹450. Later, it's sold by gaining a profit percentage of 15%. We can find the solution by using the given formula. But before finding the selling price, we should find the actual cost price of the same article. We should find the cost price of that article by adding the given cost price and the cost spent on it's repairs. Later, we can find the cost price by using the given formula. So, let's solve!!

\:

Solution :-

Actual cost price :-

{\tt \leadsto 15500 + 450}

{\tt \leadsto rs \: \: 15950}

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Now,

Selling price of the article :-

{\tt \leadsto \dfrac{100 + 15}{100} \times 15950}

{\tt \leadsto \dfrac{115}{\cancel{100}} \times \cancel{15950} = \dfrac{115}{2} \times 319}

{\tt \leadsto \dfrac{115 \times 319}{2} = \dfrac{36685}{2}}

{\tt \leadsto \cancel \dfrac{36685}{2} = \boxed{ \tt rs \: \: 18342.5}}

\Huge\therefore The selling price of that article is 18342.5.

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\dashrightarrow Some related formulas :-

\small\boxed{  \begin{array}{cc}\large\sf\dag \: {\underline{More \: Formulae}} \\ \\   \bigstar \:  \sf{Gain = S.P – C.P} \\ \\ \bigstar \:\sf{Loss = C.P – S.P} \\  \\ \bigstar \:  \sf{Gain \: \% = \Bigg( \dfrac{Gain}{C.P} \times 100 \Bigg)\%} \\  \\ \bigstar \:  \sf{loss \: \% = \Bigg( \dfrac{loss}{C.P} \times 100 \Bigg)\%} \\  \\ \bigstar \:  \sf{S.P = \dfrac{100+Gain\%}{100} \times C.P} \\  \\ \bigstar \:  \sf{  C.P =\dfrac{100}{100+Gain\%} \times S.P}  \\  \\\bigstar \:  \sf{  S.P =  \dfrac{100-loss\%}{100} \times C.P}  \\  \\ \bigstar \:  \sf{  C.P =\dfrac{100}{100-loss\%} \times S.P}\end{array}}

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