English

Calculate the Amount and the Compound Interest for the Following:

Advertisements
Advertisements

Question

Calculate the amount and the compound interest for the following: 

Rs 10,000 for 3 years if tl1e rates of interest are 10%, 11% and 12% for the successive years. 

Sum
Advertisements

Solution

P=Rs 10,000; t=3 years; r = 10%, 11% and 12% successively. 

`"A" = "P" (1 + "r"/100)^"n"`

A = Rs 10000 `(1 + 10/100)(1 + 11/100)(1 + 12/100)`

= Rs 10000 x 1.1 x 1.11 x 1.12

= Rs 13,675.20 

C.l. = A - P

= Rs (13,675.20 - 10, 000)

= Rs3,675.20 

Hence, Amount= Rs 13,675.20 and C.I. =Rs 3,675.20 

shaalaa.com
Use of Formula
  Is there an error in this question or solution?

RELATED QUESTIONS

Prashant borrowe Rs. 35000 at 12% p.a. compounded semi-annually. Find the amount he needs to pay back at the end of `1 1/2` years


The interests on two successive years for a sum invested at compound interest compounded annually are Rs 840 and Rs 940.80. Calculate the rate of interest and the sum invested.


The cost of a scooter depreciated by Rs 5100 during the second year and by Rs 4,335 during the third year. Calculate

the rate of depreciatlon


The cost of a machine depreciated by Rs 2592 during the third year and by Rs 2332.80 during the fourth year. Calculate :

The rate of depreciation.


Ramesh borrowed Rs 12,000 at 15% compound interest for 2 years. At the end of the first year he returned some amount and on paying Rs 9,200 at the end of the second year, he cleared the loan. Calculate the amount of money Ramesh returned at the end of the first year.


The simple interest on an amount for 2 years at 8% is Rs 320. Calculate the compound interest on the same amount at the same rate for 1 year if the interest is compounded half-yearly.


Calculate the amount and the compound interest for the following, when cornpounded half-yearly: 

Rs 25,000 for `1 1/2` years at 12 % 


A sum of money placed at compound interest compounded annually amounts to Rs 47,610 in 2 years and to Rs 54,751.50 in 3 years. Calculate the rate of interest and the sum.


The population of a city is 1,25,000. If the annual birth rate and death rate are 5.5% and 3.5% respectively. Calculate the population of the city after 3 years.


The S.I. and C.I. on a sum of money for 2 years is Rs. 200 and 210 respectively. If the rate of interest is the same. Find the sum and rate.


Share
Notifications

Englishहिंदीमराठी


      Forgot password?
Use app×