Asked in: July 2024 board paper₹ 2,000 is invested at 10 percent simple interest. Check at the end of the every year whether the interest amount is in A.P. or not. If this is an A.P., then find interest amount after 10 years.

Doubtly Asked 29 Oct 2026 Practice test ssc 10th Save WhatsApp Report

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Answer: Yes, the interest amounts form an A.P.; interest after 10 years = ₹ 2,000

Simple interest for 1 year \(= \dfrac{P \times R \times N}{100} = \dfrac{2000 \times 10 \times 1}{100} = ₹\ 200\).

Interest after 2 years \(= ₹\ 400\); after 3 years \(= ₹\ 600\); and so on.

Sequence: 200, 400, 600, …; \(t_2 - t_1 = 200\), \(t_3 - t_2 = 200\). The difference is constant, so it is an A.P. with \(a = 200\), \(d = 200\).

\(t_{10} = a + 9d = 200 + 9 \times 200 = 2000\)

Interest after 10 years = ₹ 2,000.

Doubtly AI · 29 Oct 2026 AI-verified · Nov 2026 Report

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