Advertisements
Advertisements
प्रश्न
Calculate the amount and the compound interest for the following:
Rs.40, 000 at `5 1/4` % p.a. in `1 1/3` years
Advertisements
उत्तर
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
संबंधित प्रश्न
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.
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 scooter depreciates by 12% of its value at the beginning of the year. Find the original value of the scooter if it depreciated by Rs 2,640 in the second year.
Simple interest on a sum of money for 2 years at 4% is Rs. 450. Find compound interest on the same sum and at the same rate for 1 year, if the interest is reckoned half yearly.
Anuj and Rajesh each lent the same sum of money for 2 years at 8% simple interest and compound interest respectively. Rajesh received Rs. 64 more than Anuj. Find the money lent by each and interest received.
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.
How much will Rs 14000 amounts to 2 years at compound interest, if the rates for the successive years be 5% and 8% respectively?
A man borrows Rs.20000 at 10% per annum compound interest payable annually. If he repays Rs.5000 at the end of the first year and Rs.10000 at the end of the second year; how much should he pay at the end of the third year in order to clear the account? Find the answer correct to the nearest rupee.
Ankita bought a gold ring worth Rs.x. The value of the ring increased at 10% per year compounded annually, on which the appreciation for the first year plus the appreciation for the second year amounts to Rs.6300. Find the value of the ring.
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.
