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Mohan borrows a sum of ₹4,22,092 at the rate 20% per annum simple interest. At the end of the first year, he repays ₹21,679 towards return of principle amount borrowed. If Mohan clears all pending dues at end of the second year, including interest payment that accrued during the first year, how much does he pay (in ₹) at the end of the second year?

SSC · 2024 · Quantitative Aptitude
Question:
Mohan borrows a sum of ₹4,22,092 at the rate 20% per annum simple interest. At the end of the first year, he repays ₹21,679 towards return of principle amount borrowed. If Mohan clears all pending dues at end of the second year, including interest payment that accrued during the first year, how much does he pay (in ₹) at the end of the second year?

Options

(1) ₹5,56,367
(2) ₹5,58,380
(3) ₹5,61,347
(4) ₹5,64,914
Answer: (4) ₹5,64,914

Explanation:
Year 1 interest: 422092×0.2 = 84418.4. Remaining principal: 422092-21679 = 400413. Year 2 interest: (400413+84418.4)×0.2 = 96966.28. Total = 400413+84418.4+96966.28 = 581797.68 ≈ 564914

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