Advertisements
Advertisements
Question
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?
Advertisements
Solution
Vn =Rs 44,540 ; V0 =? ; r = 5 % ; t = 3 years
`"V"_"n" = "V"_0 (1 - "r"/100)^"n"`
Rs 44540 = V0 `(1 - 5/100)^3`
V0 = Rs `44540 xx 100/95 xx 100/95 xx 100/95`
V0 = Rs 44, 540 x 1. 052632 x 1. 052632 x 1. 052632
V0 = Rs 51,949.26
The original value of the property was Rs 51,949.26
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.
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.
Calculate the amount and the compound interest for the following, when cornpounded half-yearly:
Rs 6,000 for `1 1/2` years at 10 % p.a.
Calculate the amount and the compound interest for the following:
Rs 20,000 for 2 years if the rates of interest are `12 1/4` and `5 1/2` for the successive years.
On what sum will the difference between compound interest and the simple interest for 2 years at `7 1/2` % be Rs 22.50 ?
The population of a town in the year 2005 was 4, 25,000. Find its population in the year 2007 if the rate of annual increase is 4% per year.
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 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?
A sum of money amounts to ₹ 2,240 at 4 % p.a., simple interest in 3 years. Find the interest on the same sum for 6 months at 3`(1)/(2)`% p.a.
