English

What Sum of Money Will Amount to Rs 8,073 in 2 Years at Compound Interest If the Rates of Interest for the Successive Years Are 15% and 17%?

Advertisements
Advertisements

Question

What sum of money will amount to Rs 8,073 in 2 years at compound interest if the rates of interest for the successive years are 15% and 17%?

Sum
Advertisements

Solution

Here P= ? ; t = 2 years ; r = 15% and 17% successively; A= Rs 8,073 

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

Rs 8073 = P`(1 + 15/100)(1 + 17/100)`

Rs 8,073= P x 1.15 x 1.17

Rs 8,073 = 1.3455 P

P = Rs `8073/13455` 

P = Rs 6,000 

Hence, the sum of money is Rs 6,000

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

RELATED QUESTIONS

Amita wanted to start a business for which she needed Rs, 40000. She borrowed this from Dolly at 10% p.a compounded semi-annually. Find the extra amount that she needs to pay at the end of two years to clear her debt. 


Rajeev borrowed Rs 15,000 from Sanjay at 12% p.a. compound interest. After 2 years Rajeev gave Rs 7,500 and a scooter to clear the account. Find the cost of the scooter.


What sum of money will amount to Rs 9,447.84 in 3 years at 8% p.a. compound interest?


What sum of money will amount to Rs 7,128 in 2 years at compound interest, if the rates of interest are 8% and 10% for successive years?


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

The cost at the end of the fourth year. 


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.


Calculate the amount and cornpound interest of the following, when cornpounded annually: 

Rs 20,000 for 2 years at `12 1/2` %  p.a. 


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

Rs 25,000 for `1 1/2` years at 12 % 


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. 


On what sum of money will the compound interest for `2 1/2` years at `12 1/2`%  per annum amount to Rs 82,734.37?


Share
Notifications

Englishहिंदीमराठी


      Forgot password?
Use app×