Advertisements
Advertisements
Question
Calculate the amount and the compound interest for the following:
Rs.25, 000 at `8 2/5 %` p.a. in `1 1/3` years
Advertisements
Solution
Here, P = Rs.25, 000; r = `8 2/5` % p.a. =42/5 % ;
t = `1 1/3` years
For the first year: t = 1 year
S.I. = `("P" xx "r" xx "t")/100`
S.I. = `("Rs" 25000 xx 42 xx 1)/(100 xx 5)`
S.I. = Rs2, 100
A=P+S.I.
=Rs (25,000 + 2, 100) = Rs 27, 100 = new principal
For the second year: t = 1/3 year; P=Rs 27,100
S.I. = `("P" xx "r" xx "t")/100`
S.I. = `("Rs" 27100 xx 42 xx 1)/(100 xx 5 xx 3)`
S.I. = Rs758.80
A=P+S.I.
A=Rs (27, 100 + 758.80) =Rs 27,858.80
C.I. = Interest in first year +interest in second year
C.I.= Rs (2, 100 + 758.80) =Rs 2,858.80
APPEARS IN
RELATED QUESTIONS
Ameeha loaned Rs. 24,000 to a friend for `2 1/2` at 10 % p.a. compond interest.
Calculate the amount received by her at the end of time period.
Natasha gave Rs.6O,OOO to Nimish for 3 years at 15%,p.a. compound interest.
Calculate to the nearest rupee :
The amount Natasha receives at the end of 3 years.
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.
Calculate the arnount and the cornpound interest for the following:
Rs 12,500 for 3 years at 12% for the first year, 15% for the second year and 17% for the third year.
Calculate the arnount and the cornpound interest for the following:
Rs 20,000 for 3 years at `7 1/2 %` for the first year, 8% for the second year and 10% for the third year.
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.
A man's savings increases by Rs 50 every year. If he saves Rs 500 in the first year and puts it at 10% compound interest, find his savings at the end of the third year.
Govind borrows Rs 18,000 at 10% simple interest. He immediately invests the money borrowed at 10% compound interest compounded half-yearly. How much money does Govind gain in one year?
A sum of money is lent at 8% per annum compound interest. If the interest for the second year exceeds that for the first year by Rs. 96, find the sum of money.
A man invests ₹ 5,600 at 14% per annum compound interest for 2 years. Calculate:
- the interest for the first year.
- the amount at the end of the first year.
- the interest for the second year, correct to the nearest rupee.
