The banker's gain on a bill due 1 year hence at 12% per annum is Rs. 6. The true discount is:Rs. 72Rs. 36Rs. 54Rs. 50
Question
The banker's gain on a bill due 1 year hence at 12% per annum is Rs. 6. The true discount is:Rs. 72Rs. 36Rs. 54Rs. 50
Solution
The banker's gain (B.G.) is the difference between the Simple Interest (S.I.) and True Discount (T.D.) for a given time and at a given rate.
Given that the Banker's Gain is Rs. 6 and the rate is 12% per annum, we can use the formula:
B.G. = (S.I. - T.D.) = (T.D. * B.G.) / (Rate * Time)
Substituting the given values into the formula:
6 = (T.D. * 6) / (12 * 1)
Solving for T.D., we get:
T.D. = (6 * 12 * 1) / 6 = Rs. 12
However, this answer is not in the options provided. It seems there might be a mistake in the question or the options provided.
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