Question

A man bought 360 eggs at ruppes 12 per dozen. 60 eggs were broken and 30 eggs were rotten. Find his profit or loss per cent, if he sells the rest of the eggs at ruppes 15 per dozen.

Answer 1

Answer :

›»› The loss per cent, if he sells the rest of the eggs at rupees 15 per dozen are 6.25%.

Given :

• A man bought 360 eggs at rupees 12 per dozen. 60 eggs were broken and 30 eggs were rotten.

To Find :

• Find his profit or loss per cent, if he sells the rest of the eggs at ruppes 15 per dozen.

Solution :

→ Cost price = 360 eggs * 1 per egg.

→ Cost price = ₹360.

→ Number of eggs sold = 360 - 60 - 30

→ Number of eggs sold = 300 - 30

→ Number of eggs sold = 270 eggs.

→ Selling price = {(270 * 15) ÷ 12}

→ Selling price = (270 * 15) ÷ 12

→ Selling price = 4050 ÷ 12

→ Selling price = ₹337.5

Here, Selling price < Cost price i.e, SP < CPl.

That means it was loss.

→ Loss = Cost price - Selling price

→ Loss = CP - SP

→ Loss = 360 - 337.5

→ Loss = 22.5

Now,

As we know that

→ Loss percentage = (Loss * 100)/CP

→ Loss percentage = (22.5 * 100)/360

→ Loss percentage = 2250/360

→ Loss percentage = 6.25%

Hence, the loss per cent, if he sells the rest of the eggs at rupees 15 per dozen are 6.25%.

Answer 2

Answer

$\:\:$

Given

$\:\:$

• Man bought 360 eggs at rupees 12 per dozen

$\:\:$

• 60 eggs were broken and 30 eggs were rotten

$\:\:$

• Rest of the eggs will be sold at rupees 15 per dozen.

$\:\:$

Find

$\:\:$

• His profit or loss per cent.

$\:\:$

Solution

$\:\:$

1 Dozen = 12 of a substance

1 Dozen eggs = 12 eggs

$\:\:$

Let us check how many dozens we would get in 360 eggs.

$\:\:$

$\sf \dashrightarrow \dfrac { 360 } { 12 } = 30 Dozens$

$\:\:$

$\underline{\bold{\texttt{Total money used to by eggs :}}}$

$\:\:$

$\bf \dag \ \ Dozens \times Cost \ of \ 1 \ Dozen$

$\:\:$

$\sf \longmapsto 30 \times 12$

$\purple\longrightarrow$ $\sf 360 \ rupees$

$\:\:$

$\underline{\bold{\texttt{Number of eggs damaged :}}}$

$\:\:$

Broken Eggs + Rotten Eggs

$\:\:$

60 + 30 = 90

$\:\:$

$\underline{\bold{\texttt{Eggs that can be sold :}}}$

$\:\:$

360 - 90 = 270

$\:\:$

Again let us check how many dozens we would get in 270 eggs

$\:\:$

$\bf \dag \ \ \dfrac { 270 } { 12 } = 22.5$

$\:\:$

$\underline{\bold{\texttt{Total money got by selling eggs :}}}$

$\:\:$

$\sf \longmapsto 22.5 \times 15$

$\:\:$

$\purple\longrightarrow$ $\sf 337.5 \ Rupees$

$\:\:$

As,

$\:\:$

Cost price > Selling price

$\:\:$

It is a case of loss

$\:\:$

$\underline{\bold{\texttt{Loss percentage :}}}$

$\:\:$

$\sf \longmapsto Loss \ Percentage = \dfrac {(360-337.5) }{ 360} \times 100$

$\:\:$

$\sf \longmapsto \dfrac { 22.5 } { 36 } \times 10$

$\:\:$

$\bf \dashrightarrow 6.25 \%$

$\:\:$

Hence he got loss of 6.25 % while selling the eggs