Question

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 1

Answer:-

$\mathfrak\red{Profit}$ = ${\boxed{\mathfrak\green{Rs.288}}}$

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

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.

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

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

$\rule{300}{1}$

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

$\bold{* Substituting\: values:-}$

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

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

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

Answer 2

||✪✪ QUESTION ✪✪||

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 ?

|| ★★ FORMULA USED ★★ ||

➺ if SP > CP, we have profit of = SP - CP.

➺ if CP > SP , we have loss of = CP - SP.

➺ Profit and loss % are always calculated on CP.

➺ 1 Dozen = 12 items .

|| ✰✰ ANSWER ✰✰ ||

it has been given That, the shopkeeper purchased 18 dozen of eggs at Rs. 50 / Dozen ,

so, we can say that,

➳ 1 dozen cost = Rs.50

➳ 18 dozen cost = 18*50 = Rs.900

He bought Eggs Of Rs.900.

Now, it is given that, He sold eggs at the rate of Rs.5.5 each,

So,

➪ 1 egg SP = 5.5

➪ 18 dozen Eggs SP = (18*12) * 5.5 ( as 1 dozen = 12 eggs) = Rs.1188.

_________________

As , we can see that now, SP > CP. ( 1188 > 900).

So ,

☞ we have profit of = 1188 - 900 = Rs.288

And , Now ,

☛ Profit % = (Profit in Rs.) * 100 / CP

☛ Profit % = (288 * 100) / 900 = 32% .

Hence, The shopkeeper has a profit of 32% in this case.