English

On What Sum of Money Will the Compound Interest for 2 Years at 8% per Annum Amount to Rs 1399.68? - Mathematics

Advertisements
Advertisements

Question

On what sum of money will the compound interest for 2 years at 8% per annum amount to Rs 1399.68?

Sum
Advertisements

Solution

P = x ; t = 2 years ; r = 8 % ; A = Rs (x + 1399.68)

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

Rs (x + 1399.68) = x `(1 + 8/100)^2`

Rs (x + 1399.68) =x × 1.08 × 1.08

Rs (x + 1399.68) = 1.1664 x

0.1664 x = Rs 1399.68

x = Rs 81411.538 

On Rs 8,411.538 the C.I. for 2 years at 8%  will be Rs 1399.68 

shaalaa.com
Use of Formula
  Is there an error in this question or solution?
Chapter 1: Compound Interest - Exercise 1.6 [Page 20]

APPEARS IN

Frank Mathematics - Part 2 [English] Class 10 ICSE
Chapter 1 Compound Interest
Exercise 1.6 | Q 10 | Page 20

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. 


Mr.Mohan invested Rs. 12500 at 16 % p.a. compounded annually. If the duration of the deposite was 1.5 years , find the amount Mr.Mohan received at the end of 1.5 years.


Manoj borrowed Rs 25,000 from Sohan at 8.4 % p.a. compound interest. After 2 years Manoj cleared Rs 17,500 and a motorcycle. Find the cost of the motorcycle.


What sum of money will amount to Rs 13,675.20 in 3 years at compound interest, if the rates of interest are 10%, 11% and 12% for the successive years?


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 for the following, when cornpounded annually: 

Rs 7 ,500 for `2 1/2` years ;  r =16 % p.a.


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. 


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%?


The compound interest on a certain sum of money at 5% p.a. for 2 years is Rs 512.50. What will be the simple interest on the same sum for 3 years at 6% p.a.?


The compound interest on a certain sum of money at 10% p.a. for 3 years is Rs 4,965. What will be the simple interest on the same sum for 3 years at 11% p.a.?


Share
Notifications

Englishहिंदीमराठी


      Forgot password?
Use app×