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
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,
[(1230 x 2 x R)/100] - [(1130 x 2 x R)/100] = 10
? (200 x R)/100 = 10
? R = 5%
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
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, P = ? 65800, R = 14% T = 4 yr
Hence, SI = (65800 x 14 x 4) / 100 =? 36848
? Required amount = P + SI
= 65800 + 36848
= ? 102648
SI at 5% = 6P - P = 5P
? 5P = (P x 5 x T) /100
? T = 100 yr
Now, for new rate (R),
11P = (P x R x 100)/100
? R =11%
Here, n = 2, m =10, T1 = 6 yr, T2 = ?
? T2 = [(m - 1) / (n - 1)] x T1
= [(10 - 1)/(2 - 1)] x 6
= 54 yr
Let the two rates be R1 and R2
According to the question,
[(1000 x 2 x R1)/100] - [(1000 x 2 x R2)/100] = 20
? [2000 x (R1 - R2)] / 100 = 20
? R1 - R2 = 20/20 = 1%
Let rate is R%
According to the question.
[(R x 400 x 2)/100] + [(R x 100 x 4)/100] = 60
? 12R = 60
? R = 60/12 = 5%
Let entire sum = P
According to the question,
[(2P/3) x 3%] + [(P/6) x 6%] + [1 - ( 2/3 + 1/6 )] P x 12% = 25
? [(2P/3) x (3/100)] + [(P/6) x (6/100)] + [1 - 4 + 1/6] x (12P/100) = 25
? 2P/100 + P/100 + 2P/100 = 25
? 5P = 2500,
? P = 500
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