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

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 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.


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.


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

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


On what sum of money will the compound interest for `2 1/2` years at 12% per  annum amount to Rs 8,241.60? 


A sum of money placed at compound interest compounded annually amounts to Rs 31,360 in 2 years and to Rs 35,123.20 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.


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 cost of a machine depreciates by 10% every year. If its present worth is Rs.18,000; what will be its value after three years?


Share
Notifications

Englishहिंदीमराठी


      Forgot password?
Use app×