On a sum of money, the simple interest for 2 years is Rs. 660,while the compound interest is Rs.696.30,the rate of interest being the same in both the cases. The rate of interest is

Correct Answer: Rs.3972

Explanation:

 

Let P = Rs. 100. Then, S.I. Rs. 60 and T = 6 years.

 

R= 100 * 60 100 * 6 =10% p.a

 

Now, P = Rs. 12000. T = 3 years and R = 10% p.a.

 

C.I= R s . 12000 * 1 + 10 100 3 - 1
       =Rs.3972

Correct Answer: 3years

Explanation:

Principal = Rs.16,000;

Time=9 months = 3 quarters;

Amount

=Rs.[16000x(1+5/100)³] =[16000x21/20x21/20x21/20]

= Rs.18522.

 

C.I

= Rs.(18522 - 16000)

= Rs.2522.

Correct Answer: Rs. 1400

Explanation:

We know thatThe Difference between Compound Interest and Simple Interest for n years at R rate of interest is given by  C . I n - S . I n = P R 100 n

Here n = 2 years, R = 20%, C.I - S.I = 56

$$\begin{gathered} 56 = P 20 100 2 \\ = > P = 56 x 5 2 \\ = > P = 56 x 25 \\ = > P = Rs . 1400 \end{gathered}$$

Correct Answer: 625

Correct Answer: Rs,6400

Explanation:

 

The population grew from 3600 to 4800 in 3 years. That is a growth of 1200 on 3600 during three year span.

 

Therefore, the rate of growth for three years has been constant.

 

The rate of growth during the next three years will also be the same.

 

Therefore, the population will grow from 4800 by  4800 * 1 3= 1600

 

Hence, the population three years from now will be 4800 + 1600 = 6400

Correct Answer: Rs.612

Explanation:

Amount

= Rs[7500x(1+4/100)²]

=Rs.(7500 * 26/25 * 26/25)

=Rs.8112

 

 C.I

= Rs(8112 - 7500)

=Rs.612

Correct Answer: Rs.625

Explanation:

Let the two parts be Rs. x and Rs. (1301 - x).

  x 1 + 4 100 7 = 1301 - x 1 + 4 100 9

  x 1301 - x = 1 + 4 100 2 = 26 25 * 25 26

 

=> 625x=676(1301-x) 

1301x=676 x 1301x=676.
So,the parts are rs.676 and rs.(1301-676)i.e rs.676 and rs.625