Here, P = ? 65800, R = 14% T = 4 yr
Hence, SI = (65800 x 14 x 4) / 100 =? 36848
? Required amount = P + SI
= 65800 + 36848
= ? 102648
Here, n = 3, m = 6, R1 = 4%
? R2 = [(m - 1)/(n - 1)] x R1
= [(6 - 1)/(3 - 1)] x 4
=(5/2) x 4
= 10%
Time = 2 yr 3 months = 21/4 yr = 9/4 yr
? SI = [5800 x (17/2) x (9/4)] / 100
= 8874/8
= ? 1109.25
= ? 1109
Let the amount of money lent at 12% interest be ? P.
? Amount of money lent at 12.5% interest = ? (2540 - P)
According to the question;
(P x 12 x 1)/100 + [(2540 - P) x 12.5 x 1]/100 = 311.60
? -0.5P/100 + 31750/100 = 311.60
? 0.5P = 31750 - 31160 = 590
? P = ? 1180
Let the annual instalment be Rs. P.
Amount of ? 100 after 4 yr = 100 + (100 x 5 x 4)/100 = ? 120
? Present Value (PV) of ? 120 due after 4 yr = ? 100
Present Value (PV) of ? due after 4 yr = 100P/120 = 5P/6
Similary, PV of ? P due after 3 yr = 20P/23
PV of ? P due after 2 yr = 10P/11
PV of ? P due after 1 yr = 20P/21
? 5P/6 + 20P/23 + 10P/11 + 20P/11 = 6450
? P = ? 1810
CI on ? 50000 at the rate of 12% for one year, when the interest is paid half-yearly
= 50000(1 + 6/100)2 - 50000
= [50000 x (53/50) x (53/50)] - 50000 = ? 6180
CI when the interest is paid yearly
= 50000(1 + 12/100)1 - 50000
= 50000(28/25 - 1) = 50000(3/25) = ? 6000
? Required difference = CI - SI = 6180 - 6000 = ? 180
Let the sum be p
Then, for R = 5%
SI = (4p - p) = 3p
? 3p = (P x 5 x T)/100 = PT/20
? T = 60 yr
Again, for another rate (R)
SI = (8P - P) = 7P
? 7P = (P x R x 60)/100
? R = (7 x 100)/60 = 35/3%
= 112/3 %
Here, n = 4, R = 10, T = ?
According to the formula,
R = 100 (n - 1)/T
? 10 = [100(4 - 1)]/T = (100 x 3)/T
? T = 30 yr
According to the question,
[(1230 x 2 x R)/100] - [(1130 x 2 x R)/100] = 10
? (200 x R)/100 = 10
? R = 5%
Given, SI1 - SI2 = 110,
T1 = 2 Yr,
T2 = 1 yr, R1 = 8%, R2 = 5%
According to the question,
[(P x 8 x 2)/100] - [(P x 5 x 1)/100] = 110
? 11P/100 = 110
? P = ? 1000
According to the question
[P x (R + 2) x 4]/100 - [P x R x 4]/100 = 56
? (4PR + 8P - 4PR)/100 = 56
? 8P/100 = 56
? P = (56 x 100)/8 = ? 700
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