Advertisements
Advertisements
प्रश्न
A man borrows Rs. 5,000 at 12 percent compound interest payable every six months. He repays Rs. 1,800 at the end of every six months. Calculate the third payment he has to make at the end of 18 months in order to clear the entire loan.
उत्तर
For 1st six months :
P = Rs. 5,000, R = 12% and T = 6 months = `1/2` year
∴ Interest = `[ 5,000 xx 12 xx 1]/[ 2 xx 100 ]` = Rs. 300.
And, Amount = Rs. 5,000 + Rs. 300 = Rs. 5,300
Since, money repaid = Rs. 1,800
Balance = Rs. 5,300 - Rs. 1,800 = Rs. 3,500
For 2nd six months :
P = Rs. 3,500, R = 12% and T = 6 months = `1/2` year
∴ Interest = `[ 3,500 xx 12 xx 1 ]/[ 2 xx 100 ]` = Rs. 210.
And, Amount = Rs. 3,500 + Rs. 210 = Rs. 3,710.
Again money repaid = Rs. 1,800
Balance = Rs. 3,710 - Rs. 1,800 = Rs. 1,910.
For 3rd six months :
P = Rs. 1,910, R = 12% and T = 6 months = `1/2` year
∴ Interest = `[ 1,910 xx 12 xx 1 ]/[ 2 xx 100 ]` = Rs. 114.60.
And, Amount = Rs. 1,910 + Rs. 114.60 = Rs. 2,024.60
Thus, the 3rd payment to be made to clear the entire loan is 2,024.60.
APPEARS IN
संबंधित प्रश्न
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. 12500 for 2 years at 8% for the first year and 10% for the second year.
Mohan invested a certain sum at compound interest, compounded annually. If the interests for two successive years were Rs 600 and Rs 648, calculate the rate of interest and the sum invested.
A borrowed Rs. 2,500 from B at 12% per annum compound interest. After 2 years, A gave Rs. 2,936 and a watch to B to clear the account. Find the cost of the watch.
Meenal lends Rs. 75,000 at C.I. for 3 years. If the rate of interest for the first two years is 15% per year and for the third year it is 16%, calculate the sum Meenal will get at the end of the third year.
Calculate the difference between the simple interest and the compound interest on Rs. 4,000 in 2 years at 8% per annum compounded yearly.
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.
There is a continuous growth in population of a village at the rate of 5% per annum. If its present population is 9,261, what population was 3 years ago?
The total number of industries in a particular portion of the country is approximately 1,600. If the government has decided to increase the number of industries in the area by 20% every year; find the approximate number of industries after 2 years.
The compound interest, calculated yearly, on a certain sum of money for the second year is Rs. 1320 and for the third year is Rs. 1452. Calculate the rate of interest and the original sum of money.
