Question

A person invest two equal sums, one at simple interest and another at compound interest at same rate for two years. After two years the ratio of amount at compound interest to amount on simple interest is 25:16. Find rate.

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Answer 1

Answer:

Suppose the principal is 'P'

and rate is x% per annume .

Then,

==> P( 2+r/100)²

–––———— = —/—

P(2-r×2/100)

(2+ r/100) =

==> r/100 = _/_ -- 2 = —/—

r = —/— = —

.

. . Rate of interest = — %

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