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Question
Mr. Sam has a recurring deposit account and deposits ₹ 600 per month for 2 years. If he gets ₹ 15,600 at the time of maturity, find the rate of interest earned by him.
Sum
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Solution
Let the rate of interest be r%.
Given,
P = ₹ 600 per month
n = 2 years or 24 months
M.V. = ₹ 15600
By formula,
M.V. = `P xx n + P xx ((n(n + 1))/(2 xx 12)) xx r/100`
Substituting values, we get:
`15600 = 600 xx 24 + 600 xx (24 xx (24 + 1))/(2 xx 12) xx r/100`
15600 = 14400 + 6 × 25 × r
15600 − 14400 = 6 × 25 × r
1200 = 150 r
r = `1200/150`
r = 8%
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