BD is 11/10 of TD after 2 years: find the annual rate: For a certain amount due 2 years hence, the banker’s discount equals 11/10 of the true discount. Find the simple interest rate per annum.

Difficulty: Easy

Correct Answer: 5%

Explanation:


Introduction / Context:
Use the identity BD/TD = 1 + r * t. The face value cancels; only r * t matters.


Given Data / Assumptions:
BD/TD = 11/10; t = 2 years.


Concept / Approach:
1 + r * 2 = 11/10 → r = (1/10) / 2 = 1/20 = 5% per annum.


Step-by-Step Solution:

r = 0.05 = 5% p.a.


Verification / Alternative check:
Plugging back: 1 + r t = 1 + 0.05*2 = 1.10 = 11/10 ✔️.


Why Other Options Are Wrong:
1%, 10%, 12% yield BD/TD values not equal to 11/10.


Common Pitfalls:
Using TD/BD instead of BD/TD or mixing years and months.


Final Answer:
5% per annum

More Questions from Banker's Discount

Discussion & Comments

No comments yet. Be the first to comment!
Join Discussion