Advertisements
Advertisements
Question
The value of a machine depreciates by 15% in the first year and by 12% in the second year. Find the value of the machine if its depreciation in the second year was Rs 1,632.
Advertisements
Solution
Let value of the machine be Rs x.
Vo =Rs x ; n = 2 ; r = 15 %
Depreciation in the first year =
`therefore "V"_"t" = "V"_0 xx (1 - "r"/100)^"n"`
`=> "V"_"t" = "Rs" "x" xx (1- 15/100)`
`=> "V"_"t" = "Rs" "x" xx 17/20`
`=> "V"_"t" = "Rs" 0.85 "x"`
Depreciation in the second year when r is 12 % =
`therefore "V"_"t" = "V"_0 xx (1 - "r"/100)^"n"`
`=> "V"_"t" = "Rs" 0.85 "x" xx (1 - 12/100)`
`=> "V"_"t" = "Rs" 0.85 "x" xx 22/25`
`=> "V"_"t" "Rs" 0.748 "x" `
Depreciation in the value of machine in the second year
=Rs (0.85 x-0.748 x) =Rs 1,632
⇒ 0.102 x = Rs 1,632
⇒ x = Rs 16,000
The original value of the machine was Rs 16,000.
RELATED QUESTIONS
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.
Mr. Chatterjee borrowed Rs 50,000 in compound interest from Mr. Patel for 2 years when the rates of interest for the successive years were `7 1/2 %` and `9 1/4 %`. If Mr. Chatterjee returned Rs 27, 750 at the end of the first year, find the amount he needs to return at the end of the seoond year to clear the loan.
What sum of money will amount to Rs 16,637.50 in 3 years at 10 % p.a. compound interest?
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?
Calculate the amount and cornpound interest for the following, when cornpounded annually:
Rs 7 ,500 for `2 1/2` years ; r =16 % p.a.
Find the principal which will amount to Rs 22,344 in 2 years at compound interest if the rates of interest for the successive years are 12% and 14%?
Calculate the rate per cent at which Rs 16,000 will yield Rs 3,876.75 as compound interest in 3 years.
In what time will Rs 50,000 yield an interest of Rs 32,151.60 at 18% per annum interest compounded annually?
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.?
In how many years will Rs. 15,625 amount to Rs. 17,576 at 4% p.a., compound interest?
