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

Simple Interest – Question 30

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 invests a total of ₹9000, part at 7% and the rest at 5% p.a. simple interest for 2 years. If the final amount is ₹10,140, how much was invested at 7%?

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.

Amount = 9000 + 2(0.07x + 0.05(9000−x)) = 9900 + 0.04x = 10,140 ⇒ x = 6000.

Final Answer: Option C — ₹6000.00
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Simple Interest Question 30 – UPSC CDS/OTA