An amount will be triple itself in 15 years at a certain rate of simple interest per annum. The rate of interest per annum is:
Show answer & explanation
Correct answer: A
Explanation
The correct answer is option 1 i.e. %.
Let principal = P
Triple itself ⇒ Amount = 3P
Simple Interest = 3P − P = 2P
Time = 15 years
Use SI formula:
SI = (P × R × T) / 100
2P = (P × R × 15) / 100
Cancel P:
2 = (R × 15) / 100
⇒ R = (2 × 100) / 15 = 200 / 15 = 13 1/3%