Simple interest on a certain sum at 7% per annum for 4 years is Rs. 2415. What will be the compound interest on the same principal at 4% per annum in two years?

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: 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. 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. 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: 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: 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: 8780.80

Explanation:

when interest is reckoned using compound interest, interest being compounded annually. The difference in the simple interest and compound interest for two years is on account of the interest paid on the first year's interest  Hence 12% of simple interest = 90 => simple interest =90/0.12 =750.

As the simple interest for a year = 750 @ 12% p.a., the principal =750/0.12 = Rs.6250.

If the principal is 6250, then the amount outstanding at the end of 3 years = 6250 + 3(simple interest on 6250) + 3 (interest on simple interest) + 1 (interest on interest on interest) = 6250 +3(750) + 3(90) + 1(10.80) = 8780.80.

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