Advertisements
Advertisements
प्रश्न
The value of a car depreciated by 10% in the first 2 years and by 8% in the third year. Express the total depreciation of the car as a single per cent during the three years.
Advertisements
उत्तर
Let value of car be Rs x.
`"V"_0` =Rs x ; n = 3 ; r = 10% for first 2 years and 8% for 3rd year .
`therefore "V"_"t" = "V"_0 xx (1 - "r"/100)^"n"`
`=> "V"_"t" = "Rs" "x" xx (1 - 10/100)^2 (1 - 8/100)`
`=> "V"_"t" = "Rs" "x" xx 9/10 xx 9/10 xx 23/25`
`=> "V"_"t" = "Rs" "x" xx 1863/2500`
`=> "V"_"t" = "Rs" 0.7452 "x"`
Depreciation in the value of car
= Rs (x - 0.7452 x) = Rs 0.2548 x
Percentage change in depreciation
`= (0.2548 "x")/"x" xx 100`
= 25.48 %
Percentage change = 25.48 %
संबंधित प्रश्न
Mr Lalit invested Rs. 5000 at a certain rate of interest, compounded annually for two years. At the end of the first year, it amounts to Rs. 5325. Calculate
1) The rate of interest
2) The amount at the end of the second year, to the nearest rupee.
Calculate the amount and the compound interest for the following:
Rs.13,500 at 10°10 p.a. in 2 years
Calculate the amount and the compound interest for the following:
Rs.30,000 at 8°/o p.a. in `2 1/2` years
The value of a scooter depreciates by 12% of its value at the beginning of the year. Find the original value of the scooter if it depreciated by Rs 2,640 in the second year.
The value of a refrigerator depreciates by 8% of its value at the beginning of the year. Find the original value of the refrigerator if it depreciated by Rs 2,392 in the second year.
Simple interest on a sum of money for 2 years at 4% is Rs. 450. Find compound interest on the same sum and at the same rate for 1 year, if the interest is reckoned half yearly.
Anuj and Rajesh each lent the same sum of money for 2 years at 8% simple interest and compound interest respectively. Rajesh received Rs. 64 more than Anuj. Find the money lent by each and interest received.
Calculate the sum of money on which the compound interest (payable annually) for 2 years be four times the simple interest on Rs. 4,715 for 5 years, both at the rate of 5% per annum.
Rohit borrows Rs. 86,000 from Arun for two years at 5% per annum simple interest. He immediately lends out this money to Akshay at 5% compound interest compounded annually for the same period. Calculate Rohit's profit in the transaction at the end of two years.
Calculate the amount and compound interest on Rs 20000 for 3 years at 10% per annum, interest being payable annually.
