Simple Interest · UPSC CDS/OTA · Question 18 of 30

Simple Interest – Question 18

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

₹9000 is split into two parts, one at 9% and the other at 6% p.a. simple interest, so that the difference of interests after 2 years is ₹180. How much is invested at 9%?

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 9% and ₹(9000−x) at 6%. 2(0.09x − 0.06(9000−x)) = 180 ⇒ x = 4200.

Final Answer: Option D — ₹4200.00
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Simple Interest Question 18 – UPSC CDS/OTA