Advertisements
Advertisements
Question
The value of a 'Honda' bike depreciated by 16% in the first year and by 13% in the second year. Find the value of the bike if it depreciated by Rs 7,098 in the second year.
Advertisements
Solution
Let value of the bike be Rs x.
Vo =Rs x ; n = 2 ; r = 16 %
Depreciation in the first year =
`therefore "V"_"t" = "V"_0 xx (1 - "r"/100)^"n"`
`=> "V"_"t" = "Rs" "x" xx (1 - 16/100)^2`
`=> "V"_"t" = "Rs" "x" xx 21/25`
`=> "V"_"t" = "Rs" 0.84 "x"`
Depreciation in the second year when r is 13 % =
`therefore "V"_"t" = "V"_0 xx (1 - "r"/100)^"n"`
`=> "V"_"t" = "Rs" 0.84 "x" xx (1 - 13/100)`
`=> "V"_"t" = "Rs" 0.84 "x" xx 0.87`
`=> "V"_"t" = "Rs" 0.7308 "x"`
Depreciation in the value of bike in the seoond year
= Rs (0.84 x-0.7308 x) =Rs 7,098
⇒ 0.1092 x = Rs 7,098
⇒ x =Rs 65,000
The original value of the bike was Rs 65,000.
RELATED QUESTIONS
Pradeep gave Rs.16000 to a friend for 1.5 years at 15% p.a. compounded semi-annually. Find the interest earned by him at the end of 1.5 years.
What sum of money will amount to Rs 9,447.84 in 3 years at 8% p.a. compound interest?
What sum of money will amount to Rs 16,637.50 in 3 years at 10 % p.a. compound interest?
A certain sum of money invested at compound interest compounded annually amounted to Rs 5,082 after 2 years and to Rs 5,590.20 after 3 years. Calculate the rate of interest and the sum invested.
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.
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 cornpound interest for the following, when cornpounded annually:
Rs 7 ,500 for `2 1/2` years ; r =16 % 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%?
On what sum of money will the compound interest for `2 1/2` years at 12% per annum amount to Rs 8,241.60?
