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A sum of money under compound interest doubles itself in 4 years. In how many years will it become 16 times itself? 

 

Option: 1

12 years


Option: 2

16 years


Option: 3

8 years


Option: 4

None of these


8 years

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Posted by

Vanshika Verma

A certain loan amounts, under compound interest, compounded annually earns an interest of Rs.1980 in the second year and Rs.2178 in the third year. How much interest did it earn in the first year?

Option: 1

Rs.1600


Option: 2

Rs.1800


Option: 3

 Rs.1900


Option: 4

None of these

 


1800

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Posted by

Guru G

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Find the compound interest on Rs. 5000 in 2 years at 4% per annum, the interest being compounded half yearly.

 

Option: 1

R 412.16


Option: 2

R 312.16


Option: 3

R 400.16


Option: 4

R 420.16

 


412.16

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Posted by

NARENDAR

Ruchi invested Rs. 1600 at the rate of compound interest for 2 years. She got Rs. 1764 after the specified period. Find the rate of interest.

 

Option: 1

5%


Option: 2

3%


Option: 3

7%


Option: 4

10%


Here, $\mathrm{P}=\mathrm{R} 1600, n=2$ years, $\mathrm{A}=\mathrm{R} 1764$
Now, according to the formula,
$ \text { Amount }=\mathrm{P}\left(1+\frac{R}{100}\right)^n$
$1764=1600\left(1+\frac{R}{100}\right)^2$
$\Rightarrow \quad \frac{1764}{1600}=\left(\frac{100+R}{100}\right)^2 \quad \Rightarrow \quad\left(\frac{21}{20}\right)^2=\left(\frac{100+R}{100}\right)^2$
$\Rightarrow \quad \frac{100+R}{100}=\frac{21}{20} \quad \Rightarrow \quad 100+\mathrm{R}=\frac{21}{20} \times 100$
$\Rightarrow 100+R = 105$
$\therefore R = 105-100 = 5%$
 

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Posted by

Suraj Bhandari

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Find the compound interest on Rs. 8000 at 4% per annum for 2 years compounded annually

 

Option: 1

 R 652.80


Option: 2

R 452.80


Option: 3

R 652


Option: 4

R 552.80


Here, P = R 8000, R = 4%, Time = 2 years
Now, according to the formula,
 $\text { Amount }=\mathrm{P}\left(1+\frac{R}{100}\right)^n=8000\left(1+\frac{4}{100}\right)^2=8000 \times \frac{26}{25} \times \frac{26}{25}=\mathrm{R} 8652.80$
∴ CI = R (8652.80 – 8000) = R 652.80

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Posted by

Sanket Gandhi

Find the effective rate of interest if the normal rate of interest is 10% p.a. and the interest is compounded every six months.

Option: 1

21.5%


Option: 2

10.25%


Option: 3

5.25%


Option: 4

 10%


for this take 100 as principal
R = 10 % and half yearly rate will be 5 %
5+5+0.25 = 10.25

 

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Posted by

Shailly goel

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14. Find the present value (in Rs.) of Rs.3000 due after 5 years at 10% p.a. simple interest.

Option: 1

1500


Option: 2

1800


Option: 3

2000


Option: 4

2500


Option a 1500

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Posted by

Madhavee vijay kadam

Find the interest earned in the first year on Rs.400 at 20%p.a. compound interest, the interest being compounded half yearly.

Option: 1

Rs.42


Option: 2

Rs.72


Option: 3

Rs.84


Option: 4

Rs.144


Because the interest compound half yearly
When interest calculated half yearly rate will be half and time will be double.
P = 400, R = 20 %  P.A , T = 1 year
40 + 40 + 4

 

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Posted by

Rishabh Jain

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A person deposited a certain amount in a bank which is offering 10% p.a. compound interest for the first two years and for the next two years, each year the rate of interest is 10% points more than previous year. The value of his investment at the end of the 3rd year is Rs.4840 more than that at the end of the second year. Find the total amount received by the person at the end of the 4thyear.

Option: 1

Rs.37752


Option: 2

Rs 38572


Option: 3

Rs.38752


Option: 4

Cannot be determined


P (120/100) (110/100) = (110/100) – P (110/100) 2 = 4840
P (1.2) (1.21) – P (1.21) = 4840
P = 20000 Rs. 

For the fourth year R%  is 30 % 

= 20000 x (1.3) x (1.2 ) x (1.2)
= 37752

 

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Posted by

shivangi.bhatnagar

A man lent Rs. 25000 for one year under compound interest, to five persons. He lent Rs.5500 at 5% p.a. to the first person, Rs 4000 at 13/2 % p.a. to the second person, Rs.3500 at 11/2% p.a to the third person and Rs.7000 at 17/2% p.a. to the fourth person. At what rate of interest should he lend the remaining amount so that he gets an interest at 8% p.a. on the entire amount?

Option: 1

12.25%


Option: 2

12.75%


Option: 3

13.55%


Option: 4

14.05% 

 


P [1+R/100] T = P1 [1+R1/100] T + P2[1+R2/100] T + P3 [1+R3/100] T

{25000 x 8 x 1}/100 = {5500 x 1 x 5}/ 20 +{ 4000 x 13 x 1 }/200 + {3500 x 1 x 11}/200 

By solving this we get 

R = 13.55 %

 

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Posted by

Gunjita

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