📐 Mathematics

A sum of Rs. 4000 is lent in two parts — one at 5% and another at 8% simple interest. If total interest after 1 year is Rs. 260, how much was lent at 5%?

A Rs. 2000
B Rs. 2500
C Rs. 1000
D Rs. 2200

✓ Correct Answer: Option A

Let x at 5%. (4000-x) at 8%. 0.05x+0.08(4000-x)=260. 0.05x+320-0.08x=260. -0.03x=-60. x=2000.

💡 Why is A) the correct answer?

The correct answer to the question "A sum of Rs. 4000 is lent in two parts — one at 5% and another at 8% simple interest. If total interest after 1 year is Rs. 260, how much was lent at 5%?" is Option A: Rs. 2000.

The other options — B) Rs. 2500, C) Rs. 1000, D) Rs. 2200 — are incorrect for this Mathematics question. As explained above: Let x at 5%. (4000-x) at 8%. 0.05x+0.08(4000-x)=260. 0.05x+320-0.08x=260. -0.03x=-60. x=2000.

📚 About This Mathematics Practice Question

This 2-level Mathematics question from the Quantitative Reasoning topic is part of One Paper Preparation's free exam preparation library. Each question includes the correct answer and a detailed explanation to help you understand the underlying concept, not just memorize the answer.

How to use this page: Read the question above, consider all four options (A through D), then check the highlighted correct answer and explanation. For active timed practice, start a free Mathematics practice test or use flashcards for spaced repetition review.

Related Mathematics Questions