Question

A man bought 360 eggs at rupees 12 per dozen.were broken and 30 eggs were rotten. find his profit and loss percent if he sells the rest of the eggs at ruppess15 per dozen

Answer 1

$\sf\large\underline{Given:}$

$\rm{\implies Total\: number\:of\:eggs=360}$

$\rm{\implies Cost\: price\:per\:dozen=Rs.12}$

$\rm{\implies Selling\: price\:per\:dozen=Rs.15}$

$\sf\large\underline{To\: Find:}$

$\rm{\implies Profit\:or\:loss\: percent}$

$\sf\large\underline{Solution:}$

• At first calculate the No of D than cost price of eggs similarly calculate the selling price of eggs than calculate loss or profit % ]

$\rm{\implies Number\:of\: dozen=\frac{Total\: eggs}{No\:of\: eggs\:1\:D}}$

$\rm{\implies Number\:of\: dozen=\dfrac{360}{12}}$

$\rm{\implies Number\:of\: dozen=30}$

• Now calculate cost price of eggs]

$\tt{\implies Cost\: price=No\:of\:D\times\:per\:D\:rate}$

$\tt{\implies Cost\: price=30(12)}$

$\tt{\implies Cost\: price=Rs.360}$

• Than calculate selling price of eggs]

Given, that 30 eggs were rotten,so

Total No of selling eggs=360-30

Total No of selling eggs=330

$\tt{\implies Selling\: price=\frac{No\:of\:eggs\times\:rate}{No\:of\: eggs\:in\:1\:D}}$

$\tt{\implies Selling\: price=\dfrac{330\times\:15}{12}}$

$\tt{\implies Selling\: price=\dfrac{4950}{12}}$

$\tt{\implies Selling\: price=Rs.412.5}$

• It's clearly mentioned above that SP is greater than CP so, we get profit here,]

$\tt{\implies P\%=\dfrac{SP-CP}{CP}\times\:100}$

$\tt{\implies P\%=\dfrac{412.5-360}{360}\times\:100}$

$\tt{\implies P\%=\dfrac{52.5}{360}\times\:100}$

$\tt{\implies P\%=\dfrac{5250}{360}}$

$\tt{\implies P\%=14.58\%}$

Hence,

• The man will get profit of 14.58%]

$\tt{\underbrace{Answer-14.58\%}}$

Answer 2

Answer:

Total dozen=360/12

Total dozen=30

Cost price=30×12

Cost price=360

Selling price

30 eggs got broken

so selling no of egg=360-30=330

Selling price=330×15/12

Selling price=412.5

so,

p=Sp-Cp

P=412.5.360

P=52.5

p%=52.5×100/360

P%=14.583%