Two identical items are sold for Rs.200 each, with 10% gain on one but 10% loss on the other. What is the net percentage loss or gain?

Correct option is D

Given:
Selling Price of both items are same that is Rs. 200
Formula Used:
Selling Price =
Cost Price =
Solution:
Total SP of the both items = 2 × 200 = Rs. 400
CP of first article = 200 × (100/110) = Rs. 2000/11
CP of second article = 200 × (100/90) = Rs. 2000/9
Total CP of both article = 2000/11 + 2000/9 = (18000 + 22000) /99 = 40000/99
Ratio of total CP to total SP = 40000/99 : 400 = 100 : 99
Let CP = 100 and SP = 99
Loss = 100 – 99 = 1
Loss percentage = (1/100) × 100 = 1%
Alternate Method:
As we know that when two items are sold on x% gain and y% loss then
Loss % = x – y - xy/100
Loss percentage = 10 -10 - (10×10)/100= -1
= 1% loss.