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Explanation: T = SI×100/(P×R) = 750×100/(5000×5) = 75000/25000 = 3 years. Other options don't match the division result.
Explanation: Doubling means SI = P. So P = P×R×T/100 ⇒ 1 = R×10/100 ⇒ R = 100/10 = 10%. Other rates give different multiples of P.
Explanation: T = 6 months = 0.5 year. SI = (2000×8×0.5)/100 = (2000×4)/100 = 80. Option2 would be for 1 year at 8% (160). Option3 & Option4 are incorrect.
Explanation: Correct: SI = PRT/100 so depends on P,R,T and yearly interest is constant. Option2 describes compound interest. Option3 is false unless rate=0 or time=1. Option4 is false.
Explanation: SI ∝ P×T at same rate. If P×3 = Q×2 then P/Q = 2/3. Option1 is inverse. Option3 and Option4 don't satisfy the equation.
Explanation: Interest share ∝ principal at same rate and time. Ratio 2000:3000 simplifies to 2:3. Other options are incorrect simplifications.
Explanation: SI for 2 years = 10% ⇒ per year = 10%/2 = 5%. Option2 is total for 2 years, not annual. Options 3 and 4 wrong.
Explanation: T = SI×100/(P×R) = 90×100/(600×3) = 9000/1800 = 5 years. Other choices don't match the division.
Explanation: P = SI×100/(R×T) = 240×100/(4×5) = 24000/20 = 1200. Other options produce incorrect backward-calculations.
Explanation: SI = 1250−1000 = 250. R = SI×100/(P×T) = 250×100/(1000×4) = 25000/4000 = 6.25%. Other options wrong.
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