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Chapter: Arithmetic Progression· Mathematics Part 1 (Algebra)

Asked in: March 2024 board paperIn 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 202…

Asked in: March 2024 board paper

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 ?

1 answer

Best answer

Answer: ₹ 8,700

2020 is a leap year, so February 2020 has 29 days: \(n = 29\).

Savings 20, 40, 60, … form an A.P. with \(a = 20\), \(d = 20\).

\(S_{29} = \dfrac{29}{2}[2 \times 20 + 28 \times 20] = \dfrac{29}{2}[40 + 560] = \dfrac{29}{2} \times 600 = 8700\)

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

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