Question

A man buys eggs at 2 for 1 re and an equal number at 3 for 2 rs and sells the whole at 5 for 3 rs. His gain or loss % is Select one: a. 3(2/7)% loss b. 3(6/7)% gain c. 2(2/7)% loss d. 2(6/7)% gain

Answer 1

Cost Price
2 eggs for 1 Re.
1 egg = 1/2 Rs.
3 eggs for 2 Rs.
1 egg = 2/3 Re.

Selling price
5 eggs for Rs.3
1 egg = 3/5 Rs.

Total C.P (2 eggs) = 1/2 + 2/3 = 7/6
Total S.P(2 eggs) = 2*3/5 = 6/5
Gain = 6/5 - 7/6 = 36-35/30 = 1/30
Gain % = Gain/C.P * 100 = 1/30/(7/6)  * 100 = 1*6/7*30  *100 = 100/7*5 = 20/7 = 2(6/7)% gain.
Option d.
Hope it helps

Answer 2

Answer:

Step-by-step explanation:

Let us assume he bought 6 eggs -------- LCM of 2 and 3

CP of 6 eggs :2 for Rs 1 = Rs 3

CP of 6 eggs :3 for Rs 2 = Rs 4

Total CP = 3 + 4 = Rs 7

Total eggs = 6 + 6 = 12

SP of 12 eggs @ 5 per Rs 3

= 3/5 × 12 = 36/5 = 7.20 Rs

Profit = 7.20 – 7

= 0.20 Rs

Profit % = 0.2×100/7 = {2(6/7)}%