A. Rs. 1,00,000
B. Rs. 1,05,000
C. Rs. 1,10,000
D. Rs. 1,15,000
=> Ratio of investment of P and Q = 5 : 6
=> Say money invested by P and Q = Z
=> The amount invested by Q = 6Z / ( 5 + 6 ) = 6Z / 11
=> Similarly, the amount invested by P = 5Z / 11
=> R invested the amount after 6 months and he invested the amount same as Q
=> So, R's investment = 6Z / 11
=> Total Investment Y = P's Investment for 12 months x Q's investment for 12 months x R's investment for 6 months
=> Y = (5Z / 11) x 12 + (6Z / 11) x 12 + (6Z/11) x 6
=> Y = 168Z / 11
=> Profit = 20% of total investment Y
=> 98000 = (20 / 100) x Y
=> Y = 490000
=> 490000 = 168Z / 11
=> Z = 490000 x 11 / 168
=> R's investment = 36Z / 11 = 105000