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.
Advertisements
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.
संबंधित प्रश्न
The cost of a scooter depreciated by Rs 5100 during the second year and by Rs 4,335 during the third year. Calculate
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 of the following, when cornpounded annually:
Rs 20,000 for 2 years at `12 1/2` % p.a.
Calculate the amount and cornpound interest for the following, when cornpounded annually:
Rs 7 ,500 for `2 1/2` years ; r =16 % 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 18, 792 in `1 1/2` years at 16% p.a. compounded yearly?
On what sum of money will the compound interest for `1 1/2` years at 16% p.a. compounded half-yearly amount to Rs 649.28?
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.
The compound interest on a certain sum of money at 10% p.a. for 3 years is Rs 4,965. What will be the simple interest on the same sum for 3 years at 11% p.a.?
The S.I. and C.I. on a sum of money for 2 years is Rs. 200 and 210 respectively. If the rate of interest is the same. Find the sum and rate.
