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Compound Interest · UPSC CDS/OTA · Question 21 of 30

Compound Interest: At 20% p.a. compounded annually, in how many years will an amount triple?

Step-by-step solution. Compound Interest for UPSC CDS/OTA.

Topic
Compound Interest
Subject
Mathematics
Difficulty
Difficult
Solve Time
45-60 sec

Solved UPSC CDS/OTA Question

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Q · Compound InterestDifficult · 45s

At 20% p.a. compounded annually, in how many years will an amount triple?

TopicCompound Interest
Question Typemultiple choice
DifficultyDifficult
Marking+1 / −0.33
Test Duration30 min

Step-by-Step Solution

The complete worked solution.

Every step explained - no skipped algebra.

3 = (1.2)^t ⇒ t = ln 3 / ln 1.2 ≈ 6.0 years ≈ 5.7 years.

Final Answer: Option C - 5.7 years
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At 20% p.a. compounded annually, in how many years will… - Compound Interest (Mathematics) Solved Question