Advertisements
Advertisements
Question
A machine was purchased 2 years ago. Its value decreases by 10% every year. Its present value is Rs 19,083.60. For how much money was the machine purchased?
Advertisements
Solution
Vn =Rs 19,083.60; V0 = ? ; r = 10 % ; t = 2 years
`"V"_"n" = "V"_0 (1 + "r"/100)^"n"`
Rs 19,083.60 =`"V"_0 (1 - 10/100)^2`
V0 = Rs `19083.60 xx 10/9 xx 10/9`
V0 = Rs 23560
The machine was purchased for Rs 23,560 i.e. Rs (23,560 - 19083.60) = Rs 4,476.40 more than the present value.
RELATED QUESTIONS
The simple interest on a certain sum in 2 years is Rs 1,300, whereas the compound interest on the same sum at the same rate and for the same time is Rs 1,365. Find the rate per cent and the sum.
Find the difference between the compound interest and the simple interest in 2 years on Rs 5,000 at 8% p.a. compounded annually.
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.
Calculate the Amount and Cornpound Interest for the Following, when Cornpounded Annually:
Rs 12,000 for 3 years at 15 % p.a.
Calculate the amount and the compouncl interest of the following:
Rs 9,125 for 2 years if tl1e rates of interest are 12% and 14 % for the successive years.
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,
0/o per annum 1, 15,200. If it increases at the rate of `6 2/3` % per annum find
Its population 2 years ago.
The value of a property decreases every year at the rate of 5%. If its value at the end of 3 years be Rs 44,540, what was the original value at the beginning of these 3 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?
