Let the rate of interest be R
(Interest at rate (R+4)%)?(Interest at R%)
= 600(PT(R+4)/100) ?(PTR/100)
= 6003PR +12P ?3PR = 60000
12P = 60000
P = 5000
Rate = 4%
Time = 8 years
Simple Interest = PTR/100
= 32P/100
Given, P ?32P/100 = 34068
P = 34000
P = 500
Let Althaf lent Rs. A at 14% per year.
Hence, Money lent at 12% = (1500-A);
Given, total interest = Rs. 186.
{(A x 14x 1)/100} + {[(1500-A) x 12 x 1/100]} = 186;
14A/100 + (18000 -12A)/100 = 186;
14A + 18000 - 12A = 186x100;
2A = 18600-18000;
A = 600/2 = Rs. 300.
Hence, money lent at 12% = 1500-300 = Rs. 1200.
Let the principle be Rs. P
As the amount double itself the interest is Rs. P too
So P = P x r x 15/100
=> r = 100/15 = 20/3 % = 6.66 %.
Let the sum be Rs. x
a. gives, S.I = Rs. 9000 and time = 9 years.
b. gives, Sum + S.I for 6 years = 2 x Sum
--> Sum = S.I for 6 years.
Now, S.I for 9 years = Rs. 9000
S.I for 1 year = Rs. 9000/9 = Rs. 1000.
S.I for 6 years = Rs. (1000 x 6)= Rs. 6000.
--> x = Rs. 6000
Thus, both a and b are necessary to answer the question.
Quantity I=15% of Principle=4800
Principle=Rs.32000
Quantity II=12.36% of Principle =3708
Principle=Rs.30000
Hence Quantity I > Quantity II
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