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: 11

Explanation:

Interest earned in scheme M =   

P 1 + 20 100 2 - 1 = 11 P 25

Interest earned in scheme N =  

P x k x 2 100 = P k 50

 

Now, from the given data,

 

11 P 25 = 2 x P k 50

k = 11

Correct Answer: Rs. 4826

Explanation:

We know the formula for calculating

The compound interest  C = P 1 + r 100 n - 1 where P = amount, r = rate of interest, n = time

Here P = 5000, r1 = 10, r2 = 20

Then  $$\begin{gathered} C = 6500 1 + 10 100 2 x 1 + 20 100 2 - 1 \\ = 6500 x 1856 2500 \\ = 65 x 1856 25 \end{gathered}$$

C = Rs. 4826.

Correct Answer: 5%

Explanation:

Let 'R%' be the rate of interest

From the given data,

$$\begin{gathered} 2520 2400 = 1 + R 100 4 1 + R 100 3 \\ ? 1 + R 100 = 63 60 \\ ? R = 5 \end{gathered}$$

 

Hence, the rate of interest R = 5% per annum.

Correct Answer: Rs. 9000

Explanation:

Let Rs. K invested in each scheme

Two years C.I on 20% = 20 + 20 + 20x20/100 = 44%

Two years C.I on 15% = 15 + 15 + 15x15/100 = 32.25%

Now,

(P x 44/100) - (P x 32.25/100) = 528.75

=> 11.75 P = 52875

=> P = Rs. 4500

 

Hence, total invested money = P + P = 4500 + 4500 = Rs. 9000.

Correct Answer: Rs. 2.04

Explanation:

Compound Interest for 1 ¹?₂ years when interest is compounded yearly = Rs.(5304 - 5000)

Amount after 1¹?₂ years when interest is compounded half-yearly 


Compound Interest for 1 ¹?₂ years when interest is compounded half-yearly = Rs.(5306.04 - 5000)

Difference in the compound interests = (5306.04 - 5000) - (5304 - 5000)= 5306.04 - 5304 = Rs. 2.04

Correct Answer: Rs. 445.95

Explanation:

We know Compound Interest = C.I. = P1+r100t - 1

Here P = 2680, r = 8 and t = 2

C.I. = 26801 + 81002-1= 268027252-12= 26802725+12725-1= 2680 5225×225

= (2680 x 52 x 2)/625

= 445.95

 

Compound Interest = Rs. 445.95

Correct Answer: Rs. 19828.80

Explanation:

Let the sum be Rs. P
P{ 1 + 8 100 2- 1 } = 2828.80

 

It is in the form of   a 2 - b 2 = a + b a - b

 

P(8/100)(2 + 8/100) = 2828.80

 

P = 2828.80 / (0.08)(2.08)

 

= 1360/0.08 = 17000

 

Principal + Interest = Rs. 19828.80

Correct Answer: Rs. 441

Explanation:

Given principal amount = Rs. 8000

Time = 3yrs

Rate = 5%

C.I for 3 yrs =  $$\begin{gathered} 8000 x 105 100 x 105 100 x 105 100 - 8000 \\ = Rs . 1261 \end{gathered}$$

 

Now, C.I for 2 yrs =  $$\begin{gathered} 8000 x 105 100 x 105 100 \\ = Rs . 820 \end{gathered}$$

 

Hence, the required difference in C.I is 1261 - 820 = Rs. 441

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