Advertisements
Advertisements
प्रश्न
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.
Advertisements
उत्तर
Let value of the refrigerator be Rs x.
Vo =Rs x ; n = 2 ; r = 8 %
Depreciation in the first year =
`therefore "V"_"t" = "V"_0 xx (1 - "r"/100)^"n"`
`=> "V"_"t" = "Rs" "x" xx (1 - 8/100)`
`=> "V"_"t" = "Rs" "x" xx 23/25`
`=> "V"_"t" = "Rs" 0.92 "x"`
Depreciation in the second year =
`therefore "V"_"t" = "V"_0 xx (1 - "r"/100)^"n"`
`=> "V"_"t" = "Rs" 0.92 "x" xx (1- 8/100)`
`=> "V"_"t" = "Rs" 0.92 "x" xx 23/25`
`=> "V"_"t" = "Rs" 0.8464 "x" `
Depreciation in the value of refrigerator in the second year
= Rs (0.92 x-0.8464 x) =Rs 2,392
⇒ 0.0736 x = Rs 2,392
⇒ x = Rs 32,500
The original value of the refrigerator was Rs 32,500.
संबंधित प्रश्न
In what time will Rs. 1500 yield Rs. 496.50 as compound interest at 10% per annum compounded annually?
The compound interest, calculated yearly, on a certain sum of money for the second year is Rs. 1320 and for the third year is Rs. 1452. Calculate the rate of interest and the original sum of money
In what period of time will Rs. 12,000 yield Rs. 3972 as compound interest at 10% per annum, if compounded on a yearly basis?
Calculate the amount and the compound interest for the following:
Rs.23,7 50 at 12°/o p.a. in `2 1/2` years
Calculate the amount and the compound interest for the following:
Rs.40, 000 at `5 1/4` % p.a. in `1 1/3` years
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.
Rakesh invests Rs.25600 at 5% per annum compound interest payable annually for 3 years. Find the amount standing to his credit at the end of the second year.
The value of a mobile depreciated by 5% per year during the first two years and 10% per year during the third year. Express the total depreciation of the value of the mobile in percent during the three years.
Ankita bought a gold ring worth Rs.x. The value of the ring increased at 10% per year compounded annually, on which the appreciation for the first year plus the appreciation for the second year amounts to Rs.6300. Find the value of the ring.
Priyanka lends Rs.15,500 at 10% for the first year, at 15% for the second year and at 20% for the third year. If the rates of interest are compounded yearly, find the difference between the compound interest of the second year and the third year.
