P,Q and R invested in a business in the ratio `6:8:9`. If Q invested for a peroid whose numerical value is `112.5%` of Q's investement but P and R invested for one year. If profit of Q at the end of the year is 6750 then what is the share of profit of R ?

Options

A. 14135
B. 10145
C. 11350
D. 10125

Answer

D

Explanation

According to question, will be shared in ratio of P,Q and R.
`12xx6:8xx((9)/(8)xx8):9xx12=12xx6:8xx9:9xx12`
`=2:2:3`
R's Profit `=(6750)/(2)xx3=10125`.