Advertisements
Advertisements
Question
On what sum of money will the difference between the compound interest and simple interest for 2 years be equal to Rs. 25 if the rate of interest charged for both is 5% p.a.?
Advertisements
Solution
C.I = `P[(1 + r/100)^2 - 1] = P[(1 + 5/100)^2 - 1] = "41P"/400`
`S.I = (P xx 5 xx 2)/100 = P/100`
Given, C.I. - S.I. Rs. 25
`=> "41P"/400 - P/10 = 25`
`=> (41P - 40P)/400 = 25`
`=> P = 10000`
∴ Required sum = Rs. 10,000
APPEARS IN
RELATED QUESTIONS
Mr Kumar borrowed Rs. 15000 for two years. The rates of interest for two successive years are 8% and 10% respectively. If he repays Rs. 6200 at the end of the first year, find the outstanding amount at the end of the second year.
Calculate the amount and the compound interest for the following:
Rs.20, 000 at9°/o p.a. in `2 1/3` years
A sum of Rs. 65000 is invested for 3 years at 8 % p.a. compound interest.
Find the compound interest earned in the last year.
Alisha invested Rs 75000 for 4 years at 8 % p.a. compound interest ,
Find the amount at the end of third year.
Alisha invested Rs 75000 for 4 years at 8 % p.a. compound interest,
Find the interest earned in the third year.
Aryan borrowed a sum or Rs. 36,000 for `1 1/2` years at 10 % p.a. compound interesL
Find he tol interest paid by him.
Prerna borrowed Rs.16000 from a friend at 15 % p.a. compound interest. Find the amount , to the nearest rupees, that she needs to return at the end of 2.4 years to clear the debt.
Pooja borrowed Rs 15,000 from Sonali at 11% p.a. compound interest. If she repays Rs 7,550 at the end of first year and Rs 6,101 at the end of second year, find the amount Pooja needs to give to Sonali at the end of third year to clear her debt.
Meera borrowed Rs 12,500 on compound interest from Rajeev for 2 years when the rates of interest for successive years were 8% and 10%. If Meera returned Rs 7,500 at the end of the first year, find the amount she has to return at the end of the second year.
Mr. Kumar borrowed Rs. 15,000 for two years. The rate of interest for the two successive years are 8% and 10% respectively. If he repays Rs. 6,200 at the end of the first year, find the outstanding amount at the end of the second year.
