Ok, He has equal shares (r) of stocks 'X' and 'Y'.
Assume he has 100 shares of each.
Total cost of share X = 100X , where 'X' is cost of one.
Total cost of share Y = 100Y, where 'Y' is cost of one share.
After one year, X would yield 102X and Y would yield 106Y.
Statement 1
X costs twice as much as Y; X = 2Y.
If he were to sell the 100 shares of 'X', he can now buy 200 stocks of 'Y'. (or) now have a total of 300 'Y' stocks.
Now X costs twice as much as Y, assume any value for 'Y', say 1. X would be 2.
Originally he would have got 102*2 = 204 from X and 106*1 = 106 from 'Y' had he invested 300 in total (200-X and 100-Y)
Now his returns would be 310.
If he had invested all 300 in Y, his returns would be 318 now. So we can determine the % change here. Sufficient.
Statement 2:
Y costs $45. Here we don't know cost of 'X' and we cannot find how many 'Y' stocks he can buy selling all his 'X'. Insuff.
A IMO
