A courier truck starts from house P(4,−3), needs to deliver a package at house Q(12,9), and wishes to leave a second package at a point exactly halfway between the two houses before proceeding to Q.
(i) Find the coordinates of the halfway point R between P and Q.
(ii) Calculate separately the distance travelled from P to R and from R to Q.
(iii) If the company charges Rs.
12 per kilometre, compute the total delivery charge for the trip from P to Q via R. (Round your answer to the nearest rupee.)