A man purchased some eggs at 3 for ₹16 and sold them at 5 for ₹36.

1.	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» Let us consider the number of eggs as x The CP of 10 eggs = ₹16x CP of 1 egg = ₹16x/3 SP of an egg = ₹36x/5 Since, SP is more than CP so it’s a gain. Gain = SP – CP = (36x/5) – (16x/3) = 168 By taking the LCM 5 and 3 we get, (108x-80x)/15 = 168 ∴ 28x =168 × 15 x = (2520) /28 x = 90 ∴ The number of eggs is 90.

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»

Let us consider the number of eggs as x

The CP of 10 eggs = ₹16x

CP of 1 egg = ₹16x/3

SP of an egg = ₹36x/5

Since, SP is more than CP so it’s a gain.

Gain = SP – CP = (36x/5) – (16x/3) = 168

By taking the LCM 5 and 3 we get, (108x-80x)/15 = 168

∴ 28x =168 × 15

x = (2520) /28

x = 90

∴ The number of eggs is 90.