Question

A vendor bought 4 dozen eggs at 4 each. 7 of these were broken. At what price per dozen should he sell the remaining eggs so as to gain 10% on the whole?

​

Answer 1

Explanation:

• Given that purchased eggs= 4 dozen eggs= 12×4=48 eggs,1egg= Rs.4,

         4 dozen eggs or 48 eggs = Rs.4×48=Rs.192,

• If 7 eggs are broken, then the remaining number of eggs are 48−7=41 .  
• Hence, selling price of all eggs = 10

                    = 10/100×(Rs.192+Rs.192) = Rs.211.2 .  

• Total eggs he has left to sell = 41. Therefore, he should sell 41 eggs for Rs.211.2
• Selling price of 1 egg = Rs.211.241 = Rs. 5.15  
• Cost of 12 eggs = cost of 1 egg ×12

                                   = Rs.5.15×12

                                   = Rs. 61.8  

• The total number of eggs is 48 but 7 eggs are broken. So, left out eggs will be 41. But the point is now the vendor would bear a cost of Rs. 192 for 41 eggs. And he has to gain 10% on the cost of 48 eggs and not the cost of 41 eggs, that is Rs.4×41=Rs.164 .

Answer 2

Answer:

Dozen=12

price of each egg=Rs 4

Total price=4*12*4

=Rs 192

Seven were broken=4*7

=21

192-21=171

To gain 10% profit he should sell them at rate of

192*110/100=211.2

12*4=Total eggs=48

Present no. of eggs=48-7=41

To gain Rs 211.2 he should sell each egg at rate of 211.2/41=Rs 5.15