Advertisements
Advertisements
प्रश्न
The population of a town decreased by 12% during 1998 and then increased by 8% during 1999. Find the population of the town, at the beginning of 1998, if at the end of 1999 its population was 2,85,120.
उत्तर
Let the population in the beginning of 1998 = P
The population at the end of 1999 = 2,85,120(A)
r1 = - 12% and r2 = + 8%
∴ A = P`( 1 - r_1/100 )( 1 + r_2/100 )`
⇒ 2,85,120 = P`( 1 - 12/100 )( 1 + 8/100 )`
⇒ 2,85,120 = P`( 22/25 )( 27/25 )`
⇒ P = `[ 2,85,120 xx 25 xx 25 ]/[ 22 xx 27 ]` = 3,00,000.
APPEARS IN
संबंधित प्रश्न
The cost of a machine is supposed to depreciate each year at 12% of its value at the beginning of the year. If the machine is valued at Rs. 44,000 at the beginning of 2008, find its value :
(i) at the end of 2009.
(ii) at the beginning of 2007.
The value of an article decreases for two years at the rate of 10% per year and then in the third year it increases by 10%. Find the original value of the article, if its value at the end of 3 years is Rs. 40,095.
Mr. Sharma borrowed a certain sum of money at 10% per annum compounded annually. If by paying Rs.19,360 at the end of the second year and Rs. 31,944 at the end of the third year he clears the debt; find the sum borrowed by him.
The difference between compound interest for a year payable half-yearly and simple interest on a certain sum of money lent out at 10% for a year is Rs. 15. Find the sum of money lent out.
Samidha borrowed Rs.7500 from Shreya at 30% per annum compounded interest. After 2 years, Samidha gave Rs.10000 and a juicer to Shreya to clear the debt. Find the cost of the juicer.
Find the amount and compounded interest on Rs.15000 in 2`(1)/(2)` years at 10% p.a. compounded annually.
Find the amount on Rs 36000 in 2 years 15% p.a. compounded annually.
Calculate the rate percent when Rs 28000 amount to Rs 30870 in 2 years at compounded annually.
In what time will Rs 15625 amount to Rs 17576 at 4% p.a. compound interest?
A sum of Rs.16820 is to be divided between two girls A and B, 27 and 25 years old respectively, in such a way that, if their portions be invested at 5% per annum compound interest payable annually, they will receive equal amounts on reaching 40 years of age. What is the share of each in the original sum of money?
