A=P(1+r∕100)t Where: - A= Final amount - P= Principal amount - t= Time in years - r= Rate of interest Calculations: Let the amount given to Arun =₹PArun and to Mahesh =₹PMahesh . It is given that the final amounts are the same after respective times. ⇒PArun (1+10∕100)14=PMahesh (1+10∕100)15 ⇒PArun (1.1)14=PMahesh (1.1)15 ⇒PArun =PMahesh ×(1.1) Total amount distributed: PArun +PMahesh =₹1617 Substitute PArun =PMahesh ×1.1: ⇒PMahesh ×1.1+PMahesh =₹1617 ⇒PMahesh (1.1+1)=₹1617 ⇒PMahesh (2.1)=₹1617 ⇒PMahesh =₹1617∕2.1 ⇒PMahesh =₹770 Now, calculate PArun: ⇒PArun =PMahesh ×1.1 ⇒PArun =₹770×1.1 ⇒PArun =₹847