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Simple Interest · UPSC CDS/OTA · Question 8 of 32

Simple Interest: 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%.

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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A person lent ₹4000 partly at 6% and partly at 8%… - Simple Interest (Mathematics) Solved Question