Let sum = P and original rate = R% per annum
Then, [(P x (R + 1) x 2)/100] - [(P x R x 2)/100] = 24
? P = 1200
Let principal = P.
Then, S.I = P,
Rate (R) = 12%
Time = (100 x SI) / (R x P) = (100 x P) / (P x 12) years
= 25/3 years
= 8 years 4 months
Let rate = R% per annum. Then,
(1200 x R x 3)/100 - (1000 x R x 3)/100 = 50
? 6R = 50
? R = 81/3
? Rate = 81/3% per annum
Let, Sum = P
Then S.I = P/2
Rate = 8%
and Time = 6 years
But P/2 = (P x 8 x 6) /100 (Not possible )
Thus, data is inadequate.
Principal = Rs. 800
S.I. = Rs. (920 - 800) = Rs. 120
and Time = 3 years
? Original rate = (100 x SI) / (P x T) = (100 x 120) / ( 800 x 3) = 5%
New rate = 8%
Now, S.I . = Rs.(800 x 8 x 3) /100 = Rs. 192
? Amount = Rs. (800 + 192)
= Rs. 992
Let rate = R% per annum.
Then, [(600 x R x 2)/ 100 ] + [(150 x R x 4 ) / 100] = 90
? 18R = 90
? R = 5%
Let sum = Rs. P.
Then amount = Rs. (8P/5)
? S.I = Rs. (8P/5 - P ) = Rs.(3P/5)
? Required rate = (100 x SI) / (P x T)
= [(100 x 3P/5) / (P x 5)]% = 12%
Let the rates be R1% and R2%.
Then, (500 x R1 x 2)/ 100 - (500 x R2 x 2)/ 100 = 2.5
? 10(R1 - R2) = 2.5
? Req difference = R1 - R2 = 0.25%
? S.I. for 3/2 years = Rs. (1067.20 - 1012) = Rs. 55.20
? S.I. for 5/2 years = Rs. 55.20 x (2/3) x (5/2) = 92
? Sum = Rs. (1012 - 92) = Rs.920
Hence, Rate = (100 x SI)/(P x T) = (100 x 92) / (920 x 5/2 ) = 4%
Let each sum be Rs. P.
Then, [(P x 15 x 5) / 100] - [(P x 15 x 7) / 100] x 2 = 144
? 3P/4 -21P/40 = 144
? 9P/40 = 144
? P = (144 x 40) / 9 =Rs. 640
Due to the rise in the rate of interest, annual income increases by Rs . (8 - 61/ 2) = Rs , 11/ 2
, when the capital is Rs . 100
Thus, the required capital = (100 x 2 x 4050) / 3 = Rs. 270000
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