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Answer: First instalment ₹ 150, last instalment ₹ 40

Total amount repaid = 1000 + 140 = ₹ 1140. The instalments form an A.P. with n = 12, d = –10, \(S_{12} = 1140\).

\(S_n = \dfrac{n}{2}[2a + (n-1)d]\): \(1140 = 6[2a - 110]\), so \(2a - 110 = 190\), \(a = 150\).

Last instalment \(t_{12} = a + 11d = 150 - 110 = 40\).

Doubtly AI · 24 Oct 2026 AI-verified · Oct 2026 Report
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