Practice | Hashtable

Home > Practice > Arithmetic Aptitude > Banker's Discount > Miscellaneous

1. What is the difference between the banker's discount and the true discount on Rs. 8100 for 3 months at 5%

A. Rs. 2

B. Rs. 1.25

C. Rs. 2.25

D. Rs. 0.5

Solution:

\begin{aligned} F = Rs . 8100 \\ R = 5 % \\ T = 3 months = \frac{1}{4} years \\ B D = \frac{F T R}{100} \\ = \frac{8100 \times \frac{1}{4} \times 5}{100} \\ = \frac{2025}{20} \\ = \frac{405}{4} \\ = Rs . 101.25 \\ T D = \frac{F T R}{100 + (T R)} \\ = \frac{8100 \times \frac{1}{4} \times 5}{100 + (\frac{1}{4} \times 5)} \\ = \frac{2025 \times 5}{100 + (\frac{5}{4})} \\ = \frac{2025 \times 5 \times 4}{400 + 5} \\ = \frac{2025 \times 5 \times 4}{405} \\ = \frac{405 \times 5 \times 4}{81} \\ = \frac{45 \times 5 \times 4}{9} \\ = 5 \times 5 \times 4 \\ = Rs . 100 \\ B D - T D = 101.25 - 100 \\ = Rs . 1.25 \end{aligned}

You must login to add comments. Login now.