Advertisements
Advertisements
Question
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.
Advertisements
Solution
P = Rs 20,000 ; t = 2 years ; r = `12 1/4 %` and `5 1/2 %` successively = `49/4`% and `11/2` % successively.
`"A" = "P" (1 + "r"/100)^"n"`
A = Rs 20000 `(1 + 49/(4 xx 100)) (1+ 11/(2 xx 100))`
= Rs 20, 000 x 1. 1225 x 1. 055
=Rs 23,684.75
C.l. = A - P
= Rs (23,684.75 - 20, 000)
=Rs 3,684.75
Hence, Amount= Rs 23,684.75 and C.I. =Rs 3,684.75.
APPEARS IN
RELATED QUESTIONS
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.
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 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.
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?
The population of a city is 24,000. In the next 3 years it will be 27,783. Find the rate of growth of the population.
Under the electrification programme of villages, the number of villages with electricity rose to 27,040 from 25,000 in 2 years. Find the rate of growth in the number of villages with electricity.
The value of the refrigerator which was purchased 2 years ago, depreciates at 12% per annum. If its present value is Rs 9,680. For how much was it purchased?
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.?
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.
