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Verified Answer :

Make t subject of formula. S=P(1+Rt)

S=P1+RtP

S=P+PRt

S-P=PRt

t=(S-P)/PR

\(S=P(1+Rt)\\ 1+Rt=\dfrac{S}{P}\\ Rt=\dfrac{S}{P}-1\\ t=\dfrac{\dfrac{S}{P}-1}{R}\)