The Banker Gain on a certain sum 4 years hence at 5% is Rs. 200. What is the present worth?

A. Rs. 4500

B. Rs. 6000

C. Rs. 5000

D. Rs. 4000

Answer: Option C

Solution(By Examveda Team)

T = 4 years
R = 5%
Banker's Gain, BG = Rs. 200
$$\eqalign{ & TD = \frac{{BG \times 100}}{{TR}} \cr & \,\,\,\,\,\,\,\,\,\, = \frac{{200 \times 100}}{{4 \times 5}} \cr & \,\,\,\,\,\,\,\,\,\, = {\text{Rs}}{\text{.}}\,1000 \cr & \cr & TD = \sqrt {PW \times BG} \cr & 1000 = \sqrt {PW \times 200} \cr & 1000000 = PW \times 200 \cr & PW = \frac{{1000000}}{{200}} \cr & \,\,\,\,\,\,\,\,\,\,\,\, = {\text{Rs}}{\text{. }}5000 \cr} $$