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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


16 years 

 

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Posted by

Debjani Behera

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

 


xyz pqr abc year tt

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Posted by

wgqefiqyg

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A person invested a sum of Rs.750 in a bank at simple interest. After 5 years he received Rs.1200. Find the rate of interest offered by the bank.

 

  • Option 1)

     

    10% p.a           

     

  • Option 2)

     

    11% p a       

     

  • Option 3)

     

    14% p a    

     

  • Option 4)

     

     12% p.a

     

  • Option 5)

     

    20% p.a      

     

1200 -750 = 450

450 = \frac{\left \{ 750\times 5\times R \right \}}{100}= R = \frac{900}{75}

= 12%

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Posted by

rishi.raj

A person borrowed Rs 1000 at the rate of 10% per annum simple interest. What is the amount he has to pay after 5 years to clear the debt?

  • Option 1)

    Rs.1564          

  • Option 2)

    Rs.1520      

  • Option 3)

      Rs.1500   

  • Option 4)

       Rs.1550

  • Option 5)

     Rs.1532     

P = 1000, R = 10% , T = 5 years

S.I = \frac{PTR}{100} = \frac{\left \{ 1000\times 5 \times 10 \right \}}{100}{ }= 500

Desired\: answer = 1000 + 500 = 1500

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Posted by

rishi.raj

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If the difference between compound interest at 8% p.a. and simple interest at 13/2 % p.a. on a certain sum of money for 2 years is Rs. 1820, then find the sum.

  • Option 1)

    Rs. 50000        

  • Option 2)

    Rs. 22000      

  • Option 3)

     Rs.32000

  • Option 4)

     Rs.25000

  • Option 5)

    Rs. 40000    

Difference between C.I and S.I = 1820

= 1820

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Posted by

rishi.raj

 

A sum of money compounded annually amounts to Rs.1375 in 5 years and Rs.1980 in 7 years. Find the annual rate of interest

 

  • Option 1)

     

    12%           

     

  • Option 2)

     

     20%                    

     

  • Option 3)

     

    11%

     

  • Option 4)

     

     10%

     

  • Option 5)

     

    15%                        

     

Amount of 5 years = 1375 Rs.

Amount of  7 years = 1980 Rs.

Difference = 1980 -1375 = 605

ThenCI = P \left [ 1+\frac{r}{100} \right ]^{2}

605 = 1375 \left [ 1 + \frac{r}{100} \right ]^{2}

R= 20 %

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Posted by

rishi.raj

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A man saves Rs.20000 at the beginning of each year and puts the money in a bank that pays 5% interest per year, interest being compounded annually. How much would be the total savings of the man at the end of 5 years?

(Given that (1.05)5 = 1.276)

  • Option 1)

    Rs. 115920                

  • Option 2)

     Rs.125570           

  • Option 3)

     Rs.140460        

  • Option 4)

     Rs.134460     

  • Option 5)

     None of these

P= 20,000 t = 5 years , R = 5 %

 So the present value

\left [ 20000+\frac{20000}{1.05}+\frac{20000}{1.05\times 1.05}+\frac{20000}{1.05\times 1.05\times 1.05} \right ]

Let this be  by Pv

Desired answer = future value ( at the end of 5 years )

Pv (1+5 % ) 5

Pv (1.05)5

Pv x 1.276

= 115920 Rs.

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Posted by

rishi.raj

A loan is taken today and repaid in two annual instalments (paid at the end of the year) of Rs.2662 each. The rate of interest is 10% p.a and it is compounded annually. Find the sum borrowed.

  • Option 1)

    Rs.4540                       

  • Option 2)

     Rs 4620               

  • Option 3)

    Rs.4520  

  • Option 4)

     Rs.2152

  • Option 5)

     Rs.2848            

Rate = 10 %

1/10 = 1 increases on 10

In second  square on both side given is 2662 but we have -121

So , 2662/121 = 22

Sum borrowed = 210 x 22 = 4620 Rs.

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Posted by

rishi.raj

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A man borrowed Rs.55000 from two banks under compound interest, compounded annually. One bank charged interest at the rate of 8% per year and the other bank at 12% per year. If at the end of the year the man paid Rs.4900 as the total interest to the two banks, how much loan did he take from the first bank?

 

  • Option 1)

     

    Rs.47500

     

  • Option 2)

     

    Rs.42500

     

  • Option 3)

     

    Rs.32500

     

  • Option 4)

     

    Rs.45200

     

  • Option 5)

     

    Rs.12500

     

Let if we lent the whole sum at 12 % of interest =\frac{ 12}{100} \times 55000 = 6600 Rs.

Difference B/W origibal and assumed = 1700

Is is because of difference in rate of interest = 12 - 8 = 4

So  the sum is lent at 8 % interest= \frac{1700}{4}\times 100 = 42500

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Posted by

rishi.raj

A certain sum, at compound interest, yields Rs. 1260 and Rs.1512 for the third and fourth years respectively. Find the sum

  • Option 1)

    Rs.4500         

  • Option 2)

       Rs.4375      

  • Option 3)

      Rs.4800   

  • Option 4)

    Rs 4425

  • Option 5)

    Rs.4650     

R% = difference amount after n And (n+1) years /amount after n years x 100

1512 -\frac{1260}{1260}\times 100 = \frac{252}{1260} \times 100 = 20 %

Let us assume  P = 100 then

Total interest when P = 100 is 28.8

3rd year interest given = 1260

Then the common value multiplied = 1260 /28.8 = 43.75

So principal = 43.75 x 100 =4375

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Posted by

rishi.raj

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