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Question
Mr. Richard has a recurring deposit account in a post office for 3 years at 7.5% p.a. simple interest. If he gets Rs. 8,325 as interest at the time of maturity, find:
- the monthly instalment.
- the amount of maturity.
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Solution
Let the monthly deposit be P
Interest = Rs. 8,325
Rate of interest = 7.5%
Time = 3 years = 36 months
i. Interest = `P xx (n(n + 1))/(2 xx 12) xx r/100`
`\implies 8325 = P xx (36 xx 37)/(2 xx 12) xx 7.5/100`
`\implies 8325 = P xx (3 xx 37)/2 = 7.5/100`
`\implies P = (8325 xx 2 xx 100)/(3 xx 37 xx 7.5)`
`\implies` P = Rs. 2,000
ii. Maturity value = Total sum deposited + Interest
= 2000 × 36 + 8325
= 72000 + 8325
= Rs. 80,325
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