Question

UT
15. 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 1

Explanation:

Let the number of eggs purchased be 'x'

CP of 3 eggs =Rs.16

CP of x eggs =

3

16

x

SP of 5 eggs =Rs.36

SP of x eggs =

5

36

x

Now,

Profit=SP−CP

168=

5

36x

−

3

16x

168=

15

108x−80x

28x=168×15

28x=2520

x=90

Hence the man purchased 90 eggs.

Answer 2

Answer:

90

Explanation:

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