Installments · UPSC CDS/OTA · Question 27 of 30

Installments – Question 27

Step-by-step solution. Installments for UPSC CDS/OTA.

Topic
Installments
Subject
Mathematics
Difficulty
Difficult
Solve Time
45–60 sec

Solved UPSC CDS/OTA Question

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Q · InstallmentsDifficult · 45s

For a ₹8,00,000 loan at 10.5% p.a., what's the **maximum term** (in months) so that EMI ≤ ₹8,500? (monthly comp., approx)

TopicInstallments
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.

n ≈ −ln(1−Pi/A)/ln(1+i) with i=0.105/12 ⇒ n ≈ 199.1 months.

Final Answer: Option A — 199 months
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Installments Question 27 – UPSC CDS/OTA