16.At what rate percent per annum would Rs:7200 amount to Rs: 9468 in

1.	16.At what rate percent per annum would Rs:7200 amount to Rs: 9468 in 9/2 years
Answer» $\large\underline{\sf{Solution-}}$ Given that, Principal, P = Rs 7200 Amount, A = Rs 9468 Time, T = 4.5 years LET RATE of interest be R % per annum. We know, Simple Interest S.I. is given by $\rm :\longmapsto\:S.I. = Amount - Principal$ $\rm :\longmapsto\:S.I. = 9468 - 7200$ $\bf\implies \:S.I. = Rs \: 2268$ Now, We know that, Simple Interest on a CERTAIN sum of money Rs P at the rate of R % per annum invested for T years is $\rm :\longmapsto\:S.I. = \dfrac{P \times R \times T}{100}$ $\bf\implies \:R = \dfrac{S.I. \times 100}{P \times T}$ $\rm :\longmapsto\:R = \dfrac{2268 \times 100}{7200 \times 4.5}$ $\bf\implies \:R = 7\% \: per \: annum$ Additional INFORMATION :- Amount on a certain sum of money Rs P at the rate of R % per annum compounded annually, invested for T years is $\tt{\implies Amount=P\bigg(1+\dfrac{R}{100}\bigg)^{T}}$ Amount on a certain sum of money Rs P at the rate of R % per annum compounded half YEARLY, invested for T years is $\tt{\implies Amount=P\bigg(1+\dfrac{R}{200}\bigg)^{2T}}$ Amount on a certain sum of money Rs P at the rate of R % per annum compounded quarterly, invested for T years is $\tt{\implies Amount=P\bigg(1+\dfrac{R}{400}\bigg)^{4T}}$