Advertisements
Advertisements
प्रश्न
The difference between C.I. and S.I. on Rs. 7,500 for two years is Rs. 12 at the same rate of interest per annum. Find the rate of interest.,
Advertisements
उत्तर
Given: P = Rs. 7,500 and Time (n) = 2 years
Let rate of interest = y%
∴ S.I. = `[ "P" xx "R" xx "T" ]/100`
= `[7500 xx y xx 2]/100`
= Rs. 150y
∴ C.I. = P`(1 + r/100)^n - "P"`
= `"Rs". 7,500( 1 + y/100 )^2 - "Rs." 7,500`
Given: C.I. : S.I. = Rs. 12
⇒ `7,500[ 1 + y/100 ]^2 - 7,500 - 150y = 12`
⇒ `7,500[ 1 + y^2/10000 + (2y)/100 ] - 7,500 - 150y = 12`
⇒ `7,500 + [7500y^2]/[10000] + 150y - 7,500 - 150y = 12`
⇒ `(3y^2)/4 = 12`
⇒ y2 = 16
⇒ y = 4%
APPEARS IN
संबंधित 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.
A sum of money, invested at compound interest, amounts to Rs. 16,500 in 1 year and to Rs. 19,965 in 3 years. Find the rate per cent and the original sum of money invested.
A sum of money lent out at C.I. at a certain rate per annum becomes three times of itself in 10 years. Find in how many years will the money become twenty-seven times of itself at the same rate of interest p.a.
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 ages of Pramod and Rohit are 16 years and 18 years respectively. In what ratio must they invest money at 5% p.a. compounded yearly so that both get the same sum on attaining the age of 25 years?
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 the compound interest on the following :
Rs.12000 for 1`(1)/(2)` years at 5% per annum compounded annually.
Find the amount and compounded interest on Rs.15000 in 2`(1)/(2)` years at 10% p.a. compounded annually.
Calculate the rate percent when Rs 28000 amount to Rs 30870 in 2 years at compounded annually.
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?
