Advertisements
Advertisements
प्रश्न
A building worth Rs 1, 33,100 is constructed on a plot of land worth Rs 72,900. After how many years will the values of both be same, if the land appreciates at 10% p.a. and the building depreciates at 10% p.a.?
Advertisements
उत्तर
For the building:
`"V"_"n" = "V"_0 (1 - "r"/100)^"n"`
Vn = Rs 133100 `(1 - 10/100)^"n"`
Vn = Rs 133,100 x (0. 9)n
For the plot :
`"V"_"n" = "V"_0 (1 + "r"/100)^"n"`
Vn = Rs 72900 `(1 + 10/100)^"n"`
Vn = Rs 72900 × (1.1)n
Since, value becomes same:
1,33,100 x (0.9)n = 72, 900 x (1.1)n `lim_(x -> ∞)`
`(1.1)^"n"/(0.9)^"n" = 133100/72900`
`(1.1)^"n"/(0.9)^"n" = 1331 /729 = 11^3/9^3`
t = 3
Hence, after 3 years value of both will be same.
संबंधित प्रश्न
The simple interest and the compound interest on a certain sum of money for 2 years at the same rate of interest are Rs 8,000 and Rs 8,640 respectively. Calculate the rate of interest and the sum.
Find the difference between the compound interest and the simple interest in 3 years on Rs 15,000 at 8% p.a. compounded yearly.
Anand borrows Rs 20,000at 9 % p.a. simple interest for 3 years. He immediately gave it to Prakash at `8 1/2 %` p.a. compound interest compounded annually.
Find Anand's loss or gain.
Find the difference between the compound interest compounded yearly and half-yearly for the following:
Rs 20,000 for `1 1/2` years at 16 % p.a.
On what sum will the difference between compound interest and the simple interest for 3 years at 12% be Rs 1,123.20?
The population of a village increases at the rate of 50 per thousand. Its population after 2 years will be 22,050. Find the present population.
In a factory the production of scooters rose to 46,305 from 40,000 in 3 years. Find the annual rate of growth of the production of scooters.
The present population of a town is 1, 15200.If it increases at the rate of `6 2/3`% per annum , find
Its population after 2 years
A mango tree was planted 3 years ago. The rate of growth is 20% per annum. If at present, the height of the tree is 1 m 8 cm, how high was it when planted?
Find the Compound Interest on Rs. 2,000 for 3 years at 15% per annum Compounded annually.
