A man sold two cycles at Rs.1125 each. By selling one cycle, he gained 11% and by selling the other cycle, he lost 11%. Find his gain or loss.

Cycle 1: 

Selling Price (SP) = Rs. 1125

Profit % (p) = 11%

To find Cost Price (CP):

$$ \frac{1125 - CP}{CP} \times 100 = 11$$

112500 - 100CP = 11CP

111CP = 112500

Therefore, CP = Rs. 1013.51

Cycle 2:

Selling Price (SP) = Rs. 1125

Loss % (l) = 11%

To find Cost Price (CP):

$$ \frac{CP - 1125}{CP} \times 100 = 11$$

100CP - 112500 = 11CP

89CP = 112500

Therefore, CP = Rs. 1264

Total:

SP = 1125 + 1125 = 2250

CP = 1013.5 + 1264 = 2277.5

CP > SP . Therefore, it is loss.

Loss % (l) = $$ \frac { 2277.5 - 2250 } {2277} $$ = 1.2 %

Therefore, Option D is correct.