English

The Cost of a Machine Depreciated by Rs 2592 During the Third Year and by Rs 2332.80 During the Fourth Year. Calculate - Mathematics

Advertisements
Advertisements

Question

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. 

Sum
Advertisements

Solution

Here, P =Rs 32,000; r = 10 % ; t = 4 years

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

`"A" = "Rs"  32000 (1 - 10/100)^4`

A= Rs 32, 000 x 0.9 x 0.9 x 0.9 x 0.9

A= Rs 20,995.20 

Cost at the end of the fourth year = Rs 20, 995.20 

shaalaa.com
Use of Formula
  Is there an error in this question or solution?
Chapter 1: Compound Interest - Exercise 1.4 [Page 13]

APPEARS IN

Frank Mathematics - Part 2 [English] Class 10 ICSE
Chapter 1 Compound Interest
Exercise 1.4 | Q 12.3 | Page 13

RELATED QUESTIONS

Shekhar had a fixed deposit of Rs 24000 for 3 years . If he received interest at 10% p.a compounded annually, find the amount received by him at the time of maturity.


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 3,326.40 in 3 years at compound interest, if the rates of interest are 8%, 10% and 12% for the successive 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 original cost of the scooter.


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

Rs 8,000 for `1 1/2` years at 12 % p.a. 


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%?


Calculate the rate per cent at which Rs 12,250 will yield Rs 3,116.40 as compound interest in 2 years.


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.


If the interest is compounded half yearly, calculate the amount when the Principal is Rs. 7,400, the rate of interest is 5% per annum and the duration is one year.


Share
Notifications

Englishहिंदीमराठी


      Forgot password?
Use app×