Rs. 20 is the true discount on Rs. 260 due after a certain time. What will be the true discount on the same sum due after half of the former time, the rate of interest being the same?
S.I. on Rs. (260 - 20) for a given time = Rs. 20.
S.I. on Rs. 240 for half the time = Rs. 10.
T.D. on Rs. 250 = Rs. 10.
T.D. on Rs. 260 = Rs. \(\frac{10}{250} * 260 \) = Rs. 10.40
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A bill falls due in 1 year.The creditor agrees to accept immediate payment of the half and to defer the payment of the other half for 2 years.By this arrangement ins Rs.40.what is the amount of the bill,if he money be worth 12\(\frac{1}{2}\)%?
Let the sum be Rs. x. Then, \(\left[\frac{x}{2} + \frac{ \frac{x}{2} * 100}{100 + \left( \frac{25}{2} * 2\right)} \right] - \frac{x * 100}{100 + \left(\frac{25}{2} * 1 \right)}\) = 40 or, \(\frac{x}{2} + \frac{2x}{5} - \frac{8x}{9}\) = 40 or, x = Rs. 3600. Therefore, amount of the bill = Rs. 3600.
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A has to pay Rs. 220 to B after 1 year. B asks A to pay Rs. 110 in cash and defer the payment of Rs. 110 for 2 years. A agrees to it. If the rate of interest be 10% per annum, in this mode of payment :
The true discount on a certain sum of money due 3 year hence is Rs.100 and the S.I. on the same sum for the same time and at the same rate is Rs.120. Find the sum and the rate percent.
And, Rate = \(\left[\frac{100 * 120 }{ 600 x 3}\right]\)
= 6.667%
= (6 + \(\frac{2}{3}\)) %
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