Deepak has Rs.12615 a part of which he gave to Puneet for 6 years and remaining to Shashank for 8 years, at 5% rate of interest compounded annually. If both Puneet and Shashank gave him same amount at the end of their duration. Find the share of Shashank and Puneet respectively.
-
6615,6000
-
6200,6415
-
6400,6215
-
6415,6200
-
6000,6615
E
Correct answer
Explanation
Let Puneet's share = P and Shashank's share = S. Given: P + S = 12615. Using CI formula A = P(1 + 5/100)^6 = P(1.05)^6 for Puneet and A = S(1.05)^8 for Shashank. Both receive same amount: P(1.05)^6 = S(1.05)^8. This gives P = S(1.05)^2 = S × 1.1025. Substituting: 1.1025S + S = 12615, so 2.1025S = 12615. Solving: S = 12615 / 2.1025 = 6000. Therefore P = 12615 - 6000 = 6615. Share of Shashank and Puneet = 6000, 6615.