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In a 'Mahila Bachat Gat' Kavita invested from the first day of month ₹ 20 on first day, ₹ 40 on second day and ₹ 60 on third day. If she saves like this, then what would be her total saving in the month of February 2020 ?

Q.4 (iii) In a 'Mahila Bachat Gat' Kavita invested from the first day of month ₹ 20 on first day, ₹ 40 on second day and ₹ 60 on third day. If she saves like this, then what would be her total saving in the month of February 2020 ?

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Best answer

Answer: ₹ 8,700

The daily savings 20, 40, 60, ... form an A.P. with \(a = 20\) and \(d = 20\).

February 2020 was a leap year, so \(n = 29\) days.

\(S_n = \dfrac{n}{2}\left[2a + (n - 1)d\right]\)

\(S_{29} = \dfrac{29}{2}\left[2(20) + 28(20)\right] = \dfrac{29}{2}\left[40 + 560\right] = \dfrac{29}{2} \times 600\)

\(S_{29} = 29 \times 300 = 8700\).

Her total saving in February 2020 was ₹ 8,700.

Doubtly AI · 25 Oct 2026 AI-verified · Oct 2026 Report
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