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a bankers discount its 51 times banker's gain find the term of the bill if interest is 8% per annum
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a bankers discount its 51 times banker's gain find the term of the bil...
Given:
Banker's discount = 51 times Banker's gain
Interest rate = 8%

To Find:
Term of the bill

Explanation:
Banker's Discount: Banker's discount is the difference between the face value of the bill and the amount paid by the banker to the bill holder. It is calculated using the formula:
Banker's discount = Face value of the bill - Amount paid by the banker

Banker's Gain: Banker's gain is the interest earned by the banker on the amount paid to the bill holder. It is calculated using the formula:
Banker's gain = Banker's discount * Rate of interest * Time

Let's Assume:
Let the face value of the bill be 'F'
Let the amount paid by the banker be 'A'
Let the term of the bill be 'T' years

Calculation:
Banker's Discount:
Banker's discount = F - A

Banker's Gain:
Banker's gain = Banker's discount * Rate of interest * Time
Banker's gain = (F - A) * 8% * T
Banker's gain = 0.08 * (F - A) * T

Given that the Banker's discount is 51 times the Banker's gain:
F - A = 51 * 0.08 * (F - A) * T
F - A = 0.408 * (F - A) * T
F - A = 0.408FT - 0.408AT

Simplifying the equation:
F - A + 0.408AT = 0.408FT
F - A + 0.408AT - 0.408FT = 0

Now, let's express A in terms of F and T:
A = F - 0.408FT + 0.408AT

Substituting the value of A in the equation:
F - (F - 0.408FT + 0.408AT) + 0.408AT - 0.408FT = 0
F - F + 0.408FT - 0.408AT + 0.408AT - 0.408FT = 0
0 = 0

The above equation is true for any value of F, A, and T.
Hence, we cannot determine the term of the bill using the given information.
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a bankers discount its 51 times banker's gain find the term of the bill if interest is 8% per annum Related: Bankers Discount - Quantitative Aptitude?
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