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A shopkeeper purchased 18 dozen of eggs at rate of rupees 50 per dozen he sold eggs at rate of rupees 5.50each find his profit or loss and profit or loss percent​

Answer»

Answer:-

\mathfrak\red{<klux>PROFIT</klux>} = {\boxed{\mathfrak\green{<klux>RS</klux>.288}}}

\mathfrak\red{Profit\%} = {\boxed{\mathfrak\green{32\%}}}

Step-by-step explanation:

GIVEN:-

  • CP = 18 dozen @ Rs.50 per dozen.
  • SP = 18 dozen @ Rs. 5.5 each.

  • Loss%/Profit% = ?

A shopkeeper purchased 18 dozen eggs @ Rs.50 per dozen.

\Rightarrow\sf CP = Number \times Rate \\\\\Rightarrow\sf CP =Rs. (18 \times 50)

\Rightarrow{\boxed{\mathfrak\red{CP = Rs.900 }}}

\rule{300}{1}

The shopkeeper sold 18 dozen of eggs @ Rs. 5.5 each.

{\boxed{\sf{1\:dozen = 12 }}}

\Rightarrow\sf Number\:of\:eggs = 18 \times 12

\Rightarrow\mathfrak\green {Number\:of\:eggs} = {\boxed{\mathfrak\green{ 216 }}}

\rule{100}{2}

\Rightarrow\sf SP = Number \times Rate \\\\\Rightarrow\sf SP = Rs.( 216 \times 5.5) \\\\\Rightarrow{\boxed{\mathfrak\red{SP = Rs.1188 }}}

As, 1188 > 900 . So, SP > CP

We know that, if SP > CP, then it BECOMES profit.

\Rightarrow\sf Profit = SP - CP \\\\\Rightarrow\sf Profit = Rs.(1188 - 900)

\Rightarrow{\boxed{\mathfrak\green{Profit = Rs.288 }}}

\rule{300}{1}

\bigstar{\boxed{\sf\purple{Profit\%=\dfrac{Profit}{CP} \times 100 }}}

\bold{* Substituting\: values:-}

\Rightarrow\sf Profit\% =\dfrac{288}{9\cancel{00}}\times 1\cancel{00} \\\\\Rightarrow\sf Profit\% =\cancel{\dfrac{288}{9}} \\\\\Rightarrow\huge{\boxed{\mathfrak\green{Profit\% = 32\%}}}

\therefore\bold{Profit\:will\:be\:Rs.288}

\therefore\bold{Profit\%\: will \: be \: 32\%}


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