Question

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

give answer in mixed fraction​

Answer 1

Answer: The man suffers a loss of 6.25%.

A man bought 360 eggs at Rs. 12 per dozen.

Total cost price of 360 eggs =Cost price of 30 dozens = 30 × 12 = 360 Rs.

Out of the tota eggs 60 eggs were broken and 30 eggs were rotten.

Now remaining eggs = 360 - 60 -30 = 270.

Selling price of the eggs is Rs. 15 per dozen.

Total selling price of 270 eggs =selling price of 22.5 dozen eggs = 22.5 × 15 = Rs. 337.5

Now as the total selling price is less than the cost price , it is a loss.

Loss = Cost price - Selling price = 360 - 337.5 = Rs. 22.5

Loss percentage =X100

Loss percentage=22.5/360X100

Loss percentage = 6.25%

Step-by-step explanation:

Answer 2

Given :-

Total number of eggs bought = 300

Cost of 12 (1 dozen) eggs = ₹ 12

To do :-

We have to find the profit or loss percent, if he sells the rest of the eggs at ₹ 15 per dozen.

Solution :-

$\sf \: Cost \: of \: 1 \: egg \: = \: ₹ \: \frac{12}{12} = ₹ \: 1$

Cost of 360 eggs = ₹ 1 × 360 = ₹ 360

Number of eggs broken = 60

Number of eggs rotten = 30

This implies,

Number of eggs he can sell = Total number of eggs - ( Number of eggs broken + Number of eggs rotten )

= 360 - ( 60 + 30 )

= 360 - 90

= 270

Selling price of 12 eggs = ₹ 15

$\sf Selling \: price \: of \: 1 \: egg  = ₹ \: \frac{15}{12}$

Selling price of 270 eggs

$\sf \: = 1512 \times 270 = ₹ \: 1512 \times 45 = ₹ \: \frac{675}{2} = ₹ \: 337.5$

This implies,

He made a loss of ₹ ( 360 - 337.5 ) = ₹ 22.5

$\sf Loss \: percent  = \frac{Loss }{CP} \times 100$

$\sf = \frac{22.5}{360} \times 100$

$\sf = 6.25$

Therefore, he made a loss of 6.25 %.