0
Q:

# If the simple interest on a sum of money for 2 years at 5% per annum is Rs. 50, what is the compound interest on the same at the same rate and for the same time?

 A) Rs.51.25 B) Rs.52 C) Rs.53 D) Rs.54

Answer:   A) Rs.51.25

Explanation:

Sum =Rs.(50 x 100/2x5)

= Rs. 500.

Amount

=[Rs.500x(1+5/100)²]

=Rs(500x21/20x21/20).

=Rs. 551.25

C.I

= Rs. (551.25 - 500)

= Rs. 51.25

Q:

A sum of Rs. 8,000 is deposited for 3 years at 5% per annum compound interest (compounded annually). The difference of interest for 3 years and 2 years will be

 A) Rs. 387 B) Rs. 441 C) Rs. 469 D) Rs. 503

Answer & Explanation Answer: B) Rs. 441

Explanation:

Given principal amount = Rs. 8000

Time = 3yrs

Rate = 5%

C.I for 3 yrs =

Now, C.I for 2 yrs =

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

Report Error

0 31
Q:

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?

 A) Rs. 704 B) Rs. 854 C) Rs. 893 D) Rs. 914

Answer & Explanation Answer: A) Rs. 704

Explanation:

We know that,

From given data, P = Rs. 8625

Now, C.I  =

Report Error

3 318
Q:

Find the compound interest on Rs. 6,500 for 4 years if the rate of interest is 10% p.a. for the first 2 years and 20% per annum for the next 2 years?

 A) Rs. 3845 B) Rs. 4826 C) Rs. 5142 D) Rs. 4415

Answer & Explanation Answer: B) Rs. 4826

Explanation:

We know the formula for calculating

The compound interest  where P = amount, r = rate of interest, n = time

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

Then

C = Rs. 4826.

Report Error

6 236
Q:

What is the difference between the compound interests on Rs. 5000 for 11⁄2 years at 4% per annum compounded yearly and half-yearly?

 A) Rs. 1.80 B) Rs. 2.04 C) Rs. 3.18 D) Rs. 4.15

Answer & Explanation Answer: B) Rs. 2.04

Explanation:

Compound Interest for 1 12 years when interest is compounded yearly = Rs.(5304 - 5000)

Amount after 112 years when interest is compounded half-yearly

Compound Interest for 1 12 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

Report Error

4 309
Q:

The difference between simple interest and compound interest of a certain sum of money at 20% per annum for 2 years is Rs. 56. Then the sum is :

 A) Rs. 3680 B) Rs. 2650 C) Rs. 1400 D) Rs. 1170

Answer & Explanation Answer: C) Rs. 1400

Explanation:

We know thatThe Difference between Compound Interest and Simple Interest for n years at R rate of interest is given by

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

Report Error

9 351
Q:

Find the compound interest on Rs. 2680 at 8% per annum for 2 years ?

 A) Rs. 664.21 B) Rs. 548.68 C) Rs. 445.95 D) Rs. 692.57

Answer & Explanation Answer: C) 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

Report Error

9 432
Q:

The compound interest on Rs. 8000 for 3 year at 10% p.a. is

 A) 2648 B) 2145 C) 2587 D) 2784

Answer & Explanation Answer: A) 2648

Explanation:

8000 × 33.1% = 2648

Report Error

13 639
Q:

Compound interest on a certain sum of money at 20% per annum for 2 years is Rs.5995. What is the SI on the same money at 8% per annum for 6 years ?

 A) Rs. 5989 B) Rs. 6540 C) Rs. 7844 D) Rs. 6789

Answer & Explanation Answer: B) Rs. 6540

Explanation:

Given C.I = 5984, R = 20% , T = 2yrs

5984 = $\inline \fn_jvn \small C.I=P\left [ \left ( 1&amp;plus;\left ( \frac{20}{100}\right )^{2} \right )-1 \right ]$

=> P = (5995x25)/11

P = Rs. 13625

Now S.I = PTR/100

SI = (13625 x 8 x 6)/100 = Rs. 6540

Report Error

20 1538