The principal which gives Rs 1 interest per day at a rate of 5% simple interest per annum is = ?

1Rs. 5000
2Rs. 35500
3Rs. 7300
4Rs. 3650

Answer:- 1

Explanation:-

Solution:

\begin{aligned} According to the question, \\ Interest  =  Rs . 1 per day \\ ∴ Interest in one year \\ =  1 \times 365  =  Rs . 365 \\ ∴ S .I .  = \frac{P \times T \times R}{100} \\ \Rightarrow 365 = \frac{P \times 5 \times 1}{100} \\ \Rightarrow P = \frac{365 \times 100}{5} \\ \Rightarrow P = Rs . 7300 \end{aligned}

$\eqalign{ & {\text{According to the question,}} \cr & {\text{Interest = Rs}}{\text{. 1 per day}} \cr & \therefore {\text{Interest in one year}} \cr & {\text{ = 1}} \times {\text{365 = Rs}}{\text{. 365}} \cr & \therefore {\text{S}}{\text{.I}}{\text{. = }}\frac{{{\text{P}} \times {\text{T}} \times {\text{R}}}}{{100}} \cr & \Rightarrow 365 = \frac{{{\text{P}} \times 5 \times 1}}{{100}} \cr & \Rightarrow {\text{P}} = \frac{{365 \times 100}}{5} \cr & \Rightarrow {\text{P}} = {\text{Rs}}{\text{. 7300}} \cr}$