Simple Interest · UPSC CDS/OTA · Question 8 of 30

Simple Interest – Question 8

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

Topic
Simple Interest
Subject
Mathematics
Difficulty
Difficult
Solve Time
45–60 sec

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Q · Simple InterestDifficult · 45s

A person lent ₹4000 partly at 6% and partly at 8% simple interest per annum, earning ₹280 in a year. Find the amount lent at 6%.

TopicSimple 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.

Let ₹x at 6% and ₹(4000−x) at 8%.

0.06x + 0.08(4000−x) = 280 ⇒ x = 2000.

Final Answer: Option C — ₹2000.00
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Simple Interest Question 8 – UPSC CDS/OTA