Advertisements
Advertisements
Question
Calculate the amount and the compound interest for the following:
Rs.40, 000 at `5 1/4` % p.a. in `1 1/3` years
Solution
Here, P = Rs.40, 000; r = `5 1/4`% p.a. = `21/4` % ; t = `1 1/3` years
For the first year: t = 1 year
S.I. = `("P" xx "r" xx "t")/100`
S.I. `("Rs" 40000 xx 21 xx 1)/(100 xx 4)`
S.I. = Rs2, 100
A=P+S.I.
=Rs ( 40,000 + 2, 100) = Rs 42, 100 = new principal
For the second year: t = 1/3 year; P=Rs 42, 100
S.I. = `("P" xx "r" xx "t")/100`
S.I. `("Rs" 42100 xx 21 xx 1)/(100 xx 4 xx 3)`
S.I. = Rs736. 75
A=P+S.I.
A=Rs ( 42, 100 + 736.75) =Rs 42,836.75
C.I. = Interest in first year +interest in second year
C.I.= Rs (2, 100 + 736.75) =Rs 2,836.75
APPEARS IN
RELATED QUESTIONS
Ranbir borrows Rs. 20,000 at 12% per annum compound interest. If he repays Rs. 8400 at the end of the first year and Rs. 9680 at the end of the second year, find the amount of loan outstanding at the beginning of the third year.
Calculate the amount and the compound interest for the following:
Rs.16, 000 at 15 °/o p.a. in `2 2/3` years
The value of a car depreciated by 10% in the first 2 years and by 8% in the third year. Express the total depreciation of the car as a single per cent during the three years.
The value of a machine depreciates by 10%, 12% and 15% in the first 3 years. Express the total depreciation of the machine as a single per cent during the three years.
The value of a refrigerator depreciates by 8% of its value at the beginning of the year. Find the original value of the refrigerator if it depreciated by Rs 2,392 in the second year.
The value of a machine, purchased two years ago, depreciates at the annual rate of 10%. If its present value is Rs.97,200, find:
- Its value after 2 years.
- Its value when it was purchased.
A sum of money was invested for 3 years, interest being compounded annually. The rates for successive years were 10%, 15% and 18% respectively. If the compound interest for the second year amounted to Rs. 4,950, find the sum invested.
Calculate the amount and compound interest on Rs 20000 for 3 years at 10% per annum, interest being payable annually.
A man invests Rs 24000 for two years at compound interest, If his money amounts to Rs 27600 after one year, find the amount at the end of second year.
Find compound interest on Rs 31250 for 3 years, if the rates of interest for 1st,2nd and 3rd years be 8%, 10% and 12% respectively.
