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.
APPEARS IN
RELATED QUESTIONS
Manoj borrowed Rs 25,000 from Sohan at 8.4 % p.a. compound interest. After 2 years Manoj cleared Rs 17,500 and a motorcycle. Find the cost of the motorcycle.
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.
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.
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.
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 15,746.40 at 16% p.a. compounded half-yearly?
On what sum of money will the compound interest for 2 years at 10% p.a. compounded half-yearly amount to Rs 3,448.10?
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.
In how many years will Rs. 15,625 amount to Rs. 17,576 at 4% p.a., compound interest?
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.
