Advertisements
Advertisements
प्रश्न
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
उत्तर
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.
संबंधित प्रश्न
Shekhar had a fixed deposit of Rs 24000 for 3 years . If he received interest at 10% p.a compounded annually, find the amount received by him at the time of maturity.
Amita wanted to start a business for which she needed Rs, 40000. She borrowed this from Dolly at 10% p.a compounded semi-annually. Find the extra amount that she needs to pay at the end of two years to clear her debt.
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?
The cost of a machine depreciated by Rs 2592 during the third year and by Rs 2332.80 during the fourth year. Calculate :
The original cost.
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 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.
In what time will Rs 50,000 yield an interest of Rs 32,151.60 at 18% per annum interest compounded annually?
A sum of money placed at compound interest compounded annually amounts to Rs 47,610 in 2 years and to Rs 54,751.50 in 3 years. Calculate the rate of interest and the sum.
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?
