Advertisements
Advertisements
प्रश्न
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.
Advertisements
उत्तर
For 1st half year : P = Rs.2000, R = 10% and T = 1 year
Interest = Rs.`(20000 xx 10 xx 1)/(100)`
=Rs.2000
Amount
= Rs.20000 + Rs.2000
= Rs.22000
Money paid at the end of 1st half year = Rs.5000
Balance money for 2nd half year
=Rs.22000 - Rs.5000
= Rs.17000
For 2nd half year : P = Rs.17000; R = 10% and T = 1 year
Interest = Rs.`(17000 xx 10 xx 1)/(100)`
= Rs.1700
Amount
= Rs.17000 + Rs.1700
= Rs.18700
Money paid at the end of 2nd half year = Rs.10000
Balance money for 3rd half year
= Rs.18700 - Rs.10000
=Rs.8700
For 3rd half year : P = Rs.8700; R = 10% and T = 1 year
Interest = Rs.`(8700 xx 10 xx 1)/(100)`
= Rs.870
Amount
= Rs.8700 + Rs.870
=Rs.9570
A man should pay Rs.9570 at the end of 3rd year to clear the account.
APPEARS IN
संबंधित प्रश्न
Nikita invests Rs. 6000 for two years at a certain rate of interest compounded annually. At the end of the first year, it amounts to Rs. 6720. Calculate:
- the rate of interest.
- the amount at the end of the second year.
Calculate the amount and the compound interest for the following:
Rs.10,000 at 8°/o p.a. in `2 1/4` 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 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.
A certain sum of money invested at compound interest compounded annually amounted to Rs 26,450 in 2 years and to Rs 30,417.50 in 3 years. Calculate the rate of interest and the sum invested.
A sum of money is invested at 10% per annum compounded half yearly. If the difference of amounts at the end of 6 months and 12 months is Rs.189, find the sum of money invested.
Rohit borrows Rs. 86,000 from Arun for two years at 5% per annum simple interest. He immediately lends out this money to Akshay at 5% compound interest compounded annually for the same period. Calculate Rohit's profit in the transaction at the end of two years.
Nikita invests Rs.6,000 for two years at a certain rate of interest compounded annually. At the end of first year it amounts to Rs.6,720. Calculate:
(a) The rate of interest.
(b) The amount at the end of the second year.
What principal will amount to Rs.15729 in two years, if the rate of interest for successive years are 5% and 7% respectively, the interest is being compounded annually.
