Question

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

Answer 1

Answer:

CP of 3 eggs = Rs. 16

=> CP of 1 egg = Rs. 16/3

SP of 5 eggs = Rs. 36

=> SP of 1 egg = Rs. 36/5

Therefore profit gained for one egg = 36/5 - 16/3

=> Profit = 36 ( 3 ) - 16 ( 5 ) / 15

=> Profit = 108 - 80 / 15

=> Profit = 28/15

So Profit for 1 egg = 28/15 then Profit for x eggs = 168

=> 1 : 28/15 :: x : 168

=> 168 = 28x / 15

=> x = 168 * 15 / 28

=> x = 90

Hence the number of eggs he purchased was 90.

Answer 2

Answer:

CP = 16/3

SP = 36/5

Gain = (36/5) - (16/3) = (108 - 80)/15

= 28/15

But given that gain = rs 168

= (28/15)x = 168

= 28x = 168 × 15 = 2520

So, x = 2520/28 = 90 eggs.

hope that helps!!