Advertisements
Advertisements
प्रश्न
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.
उत्तर
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.
APPEARS IN
संबंधित प्रश्न
Prashant borrowe Rs. 35000 at 12% p.a. compounded semi-annually. Find the amount he needs to pay back at the end of `1 1/2` 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.
Rajan borrowed Rs 32,000 at 12% compound interest for 2 years. At the end of the first year he returned some amount and on paying Rs 17,920 at the end of the second year, he cleared the loan. Calculate the amount Rajan paid at the end of the first year.
Calculate the amount and cornpound interest for the following, when cornpounded annually:
Rs 16,000 for 3 years at `7 1/2` % 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 10,256.40 in 3 years at compound interest if the rates of interest for the successive years are 10%, 11% and 12%?
On what sum of money will the compound interest for `2 1/2` years at `12 1/2`% per annum amount to Rs 82,734.37?
Calculate the rate per cent at which Rs 12,250 will yield Rs 3,116.40 as compound interest in 2 years.
In what time will Rs 8,000 amount to Rs 12,167 at 15% per annum compounded annually?
In what time will Rs 50,000 yield an interest of Rs 32,151.60 at 18% per annum interest compounded annually?
