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 :
So, x * 16 * \(\left(\frac{ 9}{12}\right)\) * \(\left(\frac{ 1 }{ 100 }\right)\) = 189
or, x= Rs. 1575
Therefore, Amount due = P.W + T.D
= Rs. ( 1575 + 189 )
= Rs. 1764
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A owes B, Rs. 1573 payable 1\(\frac{1}{2}\) years hence. Also B owes A, Rs.1444.50 payable 6 months hence. If they want to settle the account forthwith, keeping 14% as the rate of interest, then who should pay and how much ?
The present value of a bill due at the end of 2 years is Rs.1250. If the bill were due at the end of 2 years and 11 months, its present worth would be Rs.1200. Find the rate of interest and the sum.
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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Suppose Rajendra has to pay Rs.156 after 4 years and the rate of interest is 14% per annum. Clearly, Rs. 100 at 14% will amount to Rs. 156 in 4 years. So, the payment of Rs. 100 now will clear off the debt of Rs.156 due 4 years. Hence, we say that :
A man purchased a cow for Rs. 3000 and sold it the same day for Rs. 3600, allowing the buyer a credit of 2 years. If the rate of interest be 10% per annum, then the man has a gain of:
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