Question

Abhinav buys 300 dozen eggs for rs.3600. He sold 1/3rd of the stock at a loss of 10% and the remaining 2/3rd stock at a gain of 10%. Find his overall percent profit or loss?

Answer 1

Answer:

3.3% profit

Step-by-step explanation:

1/3 he sold at 1080 which should be 1200

2/3 at 2640cwhich should be 2400

so total he sold at 3720 which sould be 3600(given in question)

so (3720-3600/3600 )*100=3.33% profit

Answer 2

Given,

Cost of 300 dozen eggs = Rs.3600

1/3rd of the stock is sold at a loss of 10%

2/3rd of the stock is sold at a gain of 10%

To find,

Overall profit or loss percent

Solution,

Let's calculate what is  $\frac{1}{3} rd$ of the stock

$\frac{1}{3} *300$

=100 dozens

100 dozens were sold at a loss of 10%

Cost of one dozen eggs = $\frac{3600}{300} = 12$ rupees

Actual cost of 100 dozens of eggs = 100 x 12 = 1200 rupees

Now, the 100 dozen eggs are sold at loss of 10%

$\frac{10}{100} *1200$

= 120

Selling price after loss = 1200-120 = 1080 rupees

Let's calculate what is $\frac{2}{3}rd$ of the stock

$\frac{2}{3}*300$

=200

Cost price of 200 dozen eggs = 200*12=2400 rupees

Now, the 200 dozen eggs are sold at gain of 10%

$\frac{10}{100} * 2400 = 240$

Selling price after gain = 2400+240 = 2640 rupees

Let's add both the selling prices to get selling price of 300 dozen eggs

= 1080+2640 = 3720 rupees

As selling price is greater than cost price, it is profit.

Profit = Selling price - cost price

Profit = 3720 - 3600

Profit = 120 rupees

Profit percent = $\frac{profit}{cost price} *100$

= $\frac{120}{3600} * 100$ = 3.33%

Hence, the overall profit percentage is 3.33%.