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Radha deposited ₹ 400 per month in a recurring deposit account for 18 months. The qualifying sum of money for the calculation of interest is ______. - Mathematics

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Question

Radha deposited ₹ 400 per month in a recurring deposit account for 18 months. The qualifying sum of money for the calculation of interest is ______.

Options

  • ₹ 3600

  • ₹ 7200

  • ₹ 68,400

  • ₹ 1,36,800

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Solution

Radha deposited ₹ 400 per month in a recurring deposit account for 18 months. The qualifying sum of money for the calculation of interest is ₹ 68,400.

Explanation:

Given: Monthly deposit (P) = ₹ 400

Duration (n) = 18 months

The qualifying sum of money can be calculated using the formula for the total amount deposited in an RD account:

Qualifying sum = `P xx n xx ((n + 1)/2)`

= `400 xx 18 xx ((18 + 1)/2)`

= 400 × 18 × 9.5

= 68,400

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