mayonaisea2ef

2023-02-26

A man purchased some eggs at 3 for $ 16 and sold them at 5 for $ 36. Thus, he gained $ 168 in all. How many eggs did he purchase?

kolosalnoigrr

Beginner2023-02-27Added 9 answers

Let x represent the quantity of eggs purchased.

CP of 3 eggs = $16

∴ CP of 1 egg = $ 16/3

⇒ CP of x eggs = $ 16/3 x

SP of 5 eggs = $ 36

∴ SP of 1 egg = $ 36/5

⇒ SP of x eggs = $ 36/5 x

Gain = SP − CP = $168

∴ 36/5x -16/3x =168

⇒ 28/15 x =168

⇒x=168x15/28

⇒x=90

Therefore, the man purchased 90 eggs.

CP of 3 eggs = $16

∴ CP of 1 egg = $ 16/3

⇒ CP of x eggs = $ 16/3 x

SP of 5 eggs = $ 36

∴ SP of 1 egg = $ 36/5

⇒ SP of x eggs = $ 36/5 x

Gain = SP − CP = $168

∴ 36/5x -16/3x =168

⇒ 28/15 x =168

⇒x=168x15/28

⇒x=90

Therefore, the man purchased 90 eggs.