9.In what time will the simple interest on a certain sum be three-fourth of the principal at 6% per annum
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Solution :-
Let the principal amount be Rs. 100
Simple interest should be three fourth (3/4th) of the principal.
So, the simple interest = (100*3)/4 = Rs. 75
So,
P = Rs. 100 ; Rate of Interest = 6 % Time = ? Simple Interest = Rs. 75
Simple Interest = (P*R*T)/100
⇒ 75 = (100*6*T)/100
⇒ 75*100 = 600T
⇒ T = 7500/600
⇒ T = 25/2 or 12 years and 6 months
So, in 12 years and 6 months the simple interest on a certain principal will be three-fourth of that principal 6 % per annum.
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