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'.

[Q]: Problem: a sum of $ 1000 amounts to $ 1500 in 5 years at simple interest . if the interest rate is increased by 5 % it would amount to how much ? 
Options: a ) $ 1000 , b ) $ 750 , c ) $ 1541 , d ) $ 1478 , e ) $ 1750
[A]: e


[Q]: Problem: if a radio is purchased for rs 490 and sold for rs 465.50 find the loss % ? 
Options: a ) 5 % , b ) 4 % , c ) 6 % , d ) 8 % , e ) 7 %
[A]: a


[Q]: Problem: a woman invested $ 1,000 , part at 5 % and the rest at 6 % . her total investment with interest at the end of the year was $ 1,056 . how much did she invest at 5 % ? 
Options: a ) $ 500 , b ) $ 400 , c ) $ 700 , d ) $ 900 , e ) $ 950
[A]:
b