Question

A grocer bought 12 dozen eggs at rupees 160 per dozen and equal number at rupees 150 per dozen. he sold them at rupees 157.50 per dozen find his loss or gain per cent

Answer 1

For the first 12 dozen eggs at 160 rupees per dozen, it's cost price is

CP = 160 x 12 = 1920 rupees

For the second 12 dozen eggs at 150 rupees per dozen, it's cost price is

CP = 150 x 12 = 1800 rupees

Therefore, total cost price
CP = 1800 + 1920 = 3720 rupees

Since there are 24 dozen in total sold at 157.50 rupees, selling price is
SP = 157.50 x 24 = 3780 rupees

Evidently SP is more than CP, profit is made
Profit = SP - CP = 3780 - 3720 = 60 rupees

Answer 2

Solution :-

Cost price of 1 dozen eggs = Rs. 160
Cost price of 12 dozen eggs = 160*12 

= Rs. 1920

Cost price of 1 dozen eggs = Rs. 150
Cost price of 15 dozen eggs = 150*12

= Rs. 1800

Cost price of 24 dozen eggs = Rs. 1920 + Rs. 1800

Cost price of 24 dozen eggs = Rs. 3720

Selling price of 1 dozen eggs = Rs. 157.50
Selling price of 24 dozen eggs = 157.50*24

Selling price of 24 dozen eggs = Rs. 3780

Profit = S.P. > C.P.

Profit = 3780 - 3720

Profit = Rs. 60


Profit percentage = (Profit*100)/Cost Price

= (60*100)/3720 

= 6000/3720

= 1.61 %

Answer