In this task, you need to answer the given multiple-choice question on the gain. Gain is the value by which to multiply the input. Classify your answers into 'a', 'b', 'c', 'd', and 'e'.

[EX Q]: Problem: a cycle is bought for rs . 900 and sold for rs . 1150 , find the gain percent ? 
Options: a ) 15 , b ) 20 , c ) 27.77 , d ) 40 , e ) 12
[EX A]: c

[EX Q]: Problem: the true discount on a bill due 9 months hence at 16 % per annum is rs . 150 . the amount of the bill is 
Options: a ) 1200 , b ) 1764 , c ) 1400 , d ) 1354 , e ) none of these
[EX A]: c

[EX Q]: Problem: on a certain day , tim invested $ 500 at 10 percent annual interest , compounded annually , and lana invested 900 at 5 percent annual interest , compounded annually . the total amount of interest earned by tim ’ s investment in the first 2 years was how much greater than the total amount of interest earned by lana ’ s investment in the first 2 years ? 
Options: a ) $ 5 , b ) $ 12.75 , c ) $ 51.75 , d ) $ 100.75 , e ) $ 105
[EX A]:
b