English

Calculate the Amount and Cornpound Interest for the Following, When Cornpounded Annually: - Mathematics

Advertisements
Advertisements

Question

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

Rs 25,000 for 3 years at 8 % p.a. 

Sum
Advertisements

Solution

Rs 25,000 for 3 years at 8 % p.a. 

P=Rs 25,000; t=3 years; r=8 % p.a.

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

A = Rs 25000 `(1 + 8/100)^3`

= Rs 25, 000 x 1. 08 x 1.08 x 1. 08

= Rs 31,492.80 

C.l .= A - P

= Rs (31,492.80 - 25, 000)

= Rs 6,492.80 

Hence, Amount = Rs 31,492.80 and C.I. = Rs 6,492.80 

shaalaa.com
Concept of Compound Interest - Compound Interest as a Repeated Simple Interest Computation with a Growing Principal
  Is there an error in this question or solution?
Chapter 1: Compound Interest - Exercise 1.6 [Page 19]

APPEARS IN

Frank Mathematics - Part 2 [English] Class 10 ICSE
Chapter 1 Compound Interest
Exercise 1.6 | Q 1.2 | Page 19

RELATED QUESTIONS

Rohit borrows Rs. 86,000 from Arun for two years at 5% per annum simple interest. He immediately lends out this money to Akshay at 5% compound interest compounded annually for the same period. Calculate Rohit’s profit in the transaction at the end of two years.


Aryan borrowed a sum or Rs. 36,000 for `1 1/2` years at 10 % p.a. compound interesL

Find he tol interest paid by him.


Harijyot deposited Rs 27500 in a deposite scheme paying 12 % p.a. compound interest . If the duration of the deposite is 3 years , calculate :

The compound inrerest received by him.


Gayatri invested Rs.25,OOO for 3 years and 6 months in a bank which paid
1O % p.a- compound interest. Calculate the amount to the nearest.Ts-10, that she
received at the end of the period.


Neha loaned Rs 27500 to a friend for 1 3/4 years at 8 % p.a. compound interest. Find the interest earned by her.


Calculate the arnount and the cornpound interest for the following: 

Rs 20,000 for 3 years at `7 1/2 %` for the first year, 8% for the second year and 10% for the third year. 


Mohan borrowed Rs 25,000 at 10% p.a. compound interest. If he pays back Rs 7,500 every year, find the amount of loan outstanding at the beginning of the fourth year.


Rajan borrowed Rs 90,000 at 15% p.a. compound interest. If he repays Rs 35,000 at the end of each year, find the amount of loan outstanding at the beginning of the fourth year.


Neena's savings increases by Rs 1,000 every year. If she saves Rs 4,000 in the first year and invests it at 15% compound interest, find her total savings at the end of the third year.


The compound interest, calculated yearly, on a certain sum of money for the second year is Rs. 1320 and for the third year is Rs. 1452. Calculate the rate of interest and the original sum of money.


Share
Notifications

Englishहिंदीमराठी


      Forgot password?
Use app×