24
Q:

A sum is being lent at 20 % per annum compound interest.what is the ratio of increase in amount of 4th year to 5th year?

A) 4:5 B) 5:4
C) 5:6 D) can't be determined

Answer:   C) 5:6

Explanation:

\inline \frac{p\left ( 1+\frac{r}{100} \right )^4}{p\left ( 1+\frac{r}{100} \right )^5}=\frac{1}{\left ( 1+\frac{r}{100} \right )}

                    = \inline \frac{100}{100+r}=\frac{100}{120}  = \inline \frac{5}{6}

Q:

Albert invested Rs. 8000 in a scheme for 2 years at compound interest rate 5% p.a. How much amount will Albert get on maturity of the fixed deposit  ?

A) Rs. 8840 B) Rs. 8800
C) Rs. 8810 D) None
 
Answer & Explanation Answer: D) None

Explanation:

Amount = 

= 8000 x 21/20 x 21/20 

= Rs. 8820

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1 16
Q:

Compound interest earned on a sum for the second and the third years are Rs.1200 and Rs.1440 respectively. Find the rate of interest ?

A) 20% p.a B) 15% p.a
C) 18% p.a D) 24% p.a
 
Answer & Explanation Answer: A) 20% p.a

Explanation:

Rs.1440 - 1200 = Rs.240 is the interest on Rs.1200 for one year.

Rate of interest = (100 x 240) / (1200) = 20% p.a

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1 40
Q:

In what time will Rs. 3300 becomes Rs. 3399 at 6% per annum interest compounded half-yearly ?

A) Quarter months B) Half year
C) 2 years D) 1 year
 
Answer & Explanation Answer: B) Half year

Explanation:

3300 ----- 3% ↑ (1st time interval, 99) → 3399.

Here, time interval is given as half-yearly i.e. 6 months.

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1 83
Q:

Find the principal if the interest compounded at the rate of 10% per annum for two years is Rs. 420 ?

A) Rs. 2000 B) Rs. 2100
C) Rs. 1900 D) Rs. 2150
 
Answer & Explanation Answer: A) Rs. 2000

Explanation:

Given,
Compound rate, R = 10% per annum
Time = 2 years
C.I = Rs. 420
Let P be the required principal.
A = (P+C.I)
Amount, A = {}
(P+C.I) = {}
(P+420) = P[11/10][11/10]
P-1.21P = -420
0.21P = 420
Hence, P = 420/0.21 = Rs. 2000

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1 70
Q:

Sonika invested an amount of Rs.5800 for 2 years. At what rate of compound interest will she get an amount of Rs.594.50 at the end of 2 years ?

A) 6.5% B) 6%
C) 5% D) 4.5%
 
Answer & Explanation Answer: C) 5%

Explanation:

C.I = 

594.5 = 

 % .

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4 242