The difference between the compound interest and the simple interest on a certain sum at 12% p.a. for two years is Rs.90. What will be the value of the amount at the end of 3 years?

Correct Answer: 4 years

Explanation:

P 1 + 20 100 n > 2P 

 

 

 

Now, (6/5 x 6/5 x 6/5 x 6/5) > 2.

 

 

 

So, n = 4 years.

Correct Answer: 5%

Explanation:

C.I =  P 1 + r 100 t - 1

 

594.5 =  5800 1 + r 100 2 - 1

  594 . 5 5800 + 1 = 1 + r 100 2

 

r 100 = 1 . 05 - 1 = 0 . 05 = > r = 5 % .

Correct Answer: Rs. 704

Explanation:

We know that,

$$\begin{gathered} S . I . = PTR 100 \\ ? P = S . I x 100 T x R \\ And also , \\ C . I = P 1 + R 100 n - 1 \end{gathered}$$

From given data, P = Rs. 8625

Now, C.I  =  $$\begin{gathered} 8625 1 + 4 100 2 - 1 \\ = 8625 26 25 2 - 1 \\ = 8625 676 625 - 1 \\ = 8625 x 51 625 \\ C . I = Rs . 703 . 80 \end{gathered}$$

Correct Answer: 1080

Explanation:

Let the sum be Rs. x. Then,

 

  C . I = x * 50 300 * 100 3 - x = 343 x 216 - x = 127 x 216 

 

? 127 x 216 = 1270 

 

x = 2160 

 

Thus, the sum is Rs. 2160

 

  S . I = R s . 2160 * 50 3 * 3 * 1 100 = R s 1080

Correct Answer: 4

Explanation:

 

  P 1 + 20 100 n > 2 P ? 6 5 n > 2

  6 5 × 6 5 × 6 5 × 6 5 > 2

 

so, answer is 4 years

Correct Answer: 5years

Explanation:

Rs.100 invested in compound interest becomes Rs.200 in 5 years.

The amount will double again in another 5 years.

i.e., the amount will become Rs.400 in another 5 years.

So, to earn another Rs.200 interest, it will take another 5 years.

Correct Answer: Rs.8820

Explanation:

 

Amount =  R s . 8000 * 1 + 5 100 2=Rs.8820

 

 

Correct Answer: 6.09%

Explanation:

Amount of Rs. 100 for 1 year

when compounded half-yearly = Rs.[100*(1+3/100)^2]=Rs.106.09

Effective rate=(106.09-100)%=6.09%

 

Correct Answer: Rs. 1901

Explanation:

P = Rs. 15225, n = 9 months = 3 quarters, R = 16% p.a. per quarter.

 

Amount =  15225 x 1 + 4 100 3

 

= (15225 x 26/25 x 26/25 x 26/25) = Rs. 17126.05

 

=> C.I. = 17126 - 15625 = Rs. 1901.05.

Correct Answer: 11 percent