A man purchased some eggs at 3 for $ 16 and sold them at 5...
mayonaisea2ef
Answered question
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?
Answer & Explanation
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.
