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ExamsSSC CGL (Prelims)General

X lent ₹6,000 to Y for 3 years and ₹4,000 to Z for 2 years, both at the same simple interest rate. In total, he received ₹2,000 as interest from both. What is the rate of interest per annum (nearest integer)?

  1. 8%
  2. 10%
  3. 12%
  4. 15%

Correct answer: 8%

Solution

Total simple interest = \(\frac{6000\times 3\times r}{100} + \frac{4000\times 2\times r}{100}\) = \(\frac{26000r}{100}\). This equals 2000, so r = 2000×100/26000 ≈ 7.69, which rounds to 8%.

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