Question

The original price of an article was Rs 250.The retailer sells it for

Rs 260. By what percentage does he increase the price?x​

Answer 1

SOLUTION:

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ANSWER:-

• 96 2⁄13

GIVEN:-

• Cost price of the article = 250
• Selling price of the article = 260

TO FIND:-

By what percentage does he increase the price?

SOLUTION:-

Increased price = (Selling price - original price)

Increased price = 260 - 250 = 10

FORMULA TO FIND PROFIT % :

$\boxed{\sf\red{\frac{Cost \: price}{Selling \: price}\times 100 \% }}$

SOLVING BY APPLYING THE FORMULA:-

$\rightarrow \sf \dfrac{250}{260} \times 100\%$

$\rightarrow \sf \dfrac{250}{26} \times 10\%$

$\rightarrow \sf \dfrac{250}{13} \times 5\%$

$\rightarrow \sf \dfrac{250}{13} \times 5\%$

$\rightarrow \sf 19.230769230769 \times 5\%$

$\rightarrow \sf \red{ 96 \dfrac{2}{13}}$

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Answer 2

${\large{\underbrace{\underline{\bf{Question:-}}}}}$

Q) The original price of an article was Rs 250 . The retailer sells it for Rs 260 . By what percentage does he increase the price ?

${\large{\underbrace{\underline{\bf{Answer\checkmark}}}}}$

${\underline{\underline{\frak{\red\dag\:Given:-}}}}$

• Cost Price = Rs 250
• Selling Price = Rs 260

${\underline{\underline{\frak{\red\dag\:To\:Find:-}}}}$

• Percentage by which the price is increased.

${\underline{\underline{\frak{\red\dag\:Required\:Solution:-}}}}$

• We must know that, the percentage by which the retailer increases the price is the profit percent of the article.

• Here, we will first find the profit and then the profit percentage.

Since, SP > CP , it is profit.

${\textit{\textbf{Finding\:Profit:-}}}$

$\mapsto \sf \: profit = selling \: price - cost \: price \\ \\ \mapsto \sf \: profit = 260 \: rs - 250 \: rs \\ \\ \mapsto \boxed{ \tt\purple{profit = 10 \: rs} }$

${\textit{\textbf{Finding\:Profit\:Percentage:-}}}$

$\displaystyle \colon \implies \sf \: profit \:\% = \frac{profit}{cost \: price} \times 100 \\ \\ \colon \implies \sf \: profit \: \% = \frac{ \cancel{10}}{ \cancel{250}} \times 100 \\ \\ \colon \implies \sf \: profit \: \% = \frac{1}{ \cancel{25}} \times \cancel{100} \\ \\ \longrightarrow \underline{ \boxed{ \tt{ \pink{profit \: \% = \green{\bf 4 \: \%}}}}}$

So,

The percentage by which the price is increased would be 4 % .

_____________________________

${\underline{\underline{\frak{\red\dag\:Some\:Important\:Formulas:-}}}}$

$\boxed{ \boxed{ \begin{array}{c} \blue{ \tt \bull \: \: loss = cp - sp} \\ \\ { \green{ \bull \tt \: \: profit = sp - cp}} \\ \\ \orange{ \bull \tt \: \: profit \: \% = \dfrac{profit}{cp} \times 100} \\ \\ \pink{\bull \tt \: \: loss \: \% = \dfrac{loss}{cp} \times 100} \\ \\ \purple{ \tt \bull \: cp = \dfrac{100}{100 + profit \: \% } \times sp }\\ \\ \red{\tt \bull \: \: cp = \dfrac{100}{100 - loss \: \%} \times sp} \\ \\ \green{\bull \tt \: \: sp = \dfrac{100 + profit \: \%}{100} \times cp} \\ \\ \pink{ \bull \tt \: \: sp = \dfrac{100 - loss \: \%}{100} \times cp}\end{array}}}$

${\tiny{\fcolorbox{lime}{black}{\pink{All~Done~:)}}}}$