Question

If the selling price of 4 balls is the same as the cost of 5 balls, find the profit per cent.
(Hint: Let the cost price of each ball be *1.]
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Answer 1

AnswEr :

$\underline{\bigstar\:\textsf{According to the Question :}}$

$\longrightarrow\textsf{Selling Price of 4 Balls = Cost Price of 5 Balls}\\\\\\\longrightarrow\sf SP \times 4 = CP \times5\\\\\\\longrightarrow\sf \dfrac{SP}{CP} = \dfrac{5}{4}\\\\\\\longrightarrow\sf SP = 5\quad and \quad CP = 4$

$\rule{150}{1}$

$\underline{\bigstar\:\textsf{Calculation of Profit Percentage :}}$

$:\implies\tt Profit\% = \dfrac{Profit}{CP} \times 100\\\\\\:\implies\tt Profit\% = \dfrac{(SP-CP)}{CP} \times 100\\\\\\:\implies\tt Profit\% = \dfrac{(5-4)}{4} \times 100\\\\\\:\implies\tt Profit\% = \dfrac{1}{4} \times 100\\\\\\:\implies\tt Profit\% = \dfrac{100}{4}\\\\\\:\implies\boxed{\blue{\tt Profit\% = 25\%}}$

⠀

$\therefore\:\underline{\textsf{Profit Percentage will be \textbf{25\%}}}$

$\rule{200}{2}$

$\boxed{\begin{minipage}{7 cm}\underline{\text{Some Important Formulae Related to it :}}\\ \\ SP=CP\times(100+\sf Profit)\%\\ \\SP=CP\times(100-Loss)\%\\ \\Profit\%=\dfrac{Profit}{CP}\times100 \\ \\Loss\%=\dfrac{Loss}{CP}\times100\end{minipage}}$

Answer 2

Answer:

${\boxed{\bold\red{Profit\%=25\%}}}$

Step-by-step explanation:

Given :-

• Cost price of each ball = Rs.1 [Imagine]
• S.P. of 4 balls = C.P. of 5 balls.
• Profit% = ?

We know that,

$\bullet$ ${\boxed{\bold\green{Profit\%=\dfrac{Profit\times 100}{C.P.} }}}$

$\rule{300}{1}$

${\underline{\underline{\bold{According\:to\:question:-}}}}$

$\sf S.P.\:of\:4\:balls =C.P.\:of\:5\:balls$

→ $\sf \dfrac{S.P.}{C.P.}=\dfrac{5}{4}$

→ $\sf S.P. = 5\: \: and \: \:C.P. = 4$

$\sf Profit = S.P. - C.P.$

→ $\sf Profit = 5 - 4$

→ ${\boxed{\sf{Profit = 1}}}$

$\rule{300}{1}$

$\sf Profit\% = \dfrac{Profit\times 100}{C.P.}$

→ $\sf Profit \% =\dfrac{1\times \cancel{100}}{\cancel{4}}$

→ ${\boxed{\sf{Profit\%=25\%}}}$

$\therefore\sf Profit\% = 25\%$