Advertisements
Advertisements
प्रश्न
A man borrows Rs. 10,000 at 5% per annum compound interest. He repays 35% of the sum borrowed at the end of the first year and 42% of the sum borrowed at the end of the second year. How much must he pay at the end of the third year in order to clear the debt ?
Advertisements
उत्तर
For the first year,
P1 = 10,000, R = 5%
I1 = `(10,000 xx 5 xx 1)/100`
I1 = 500
A1 = 10,000 + 500 = Rs. 10,500.
At the end of the first year, he repays 35% of the sum borrowed so he repays the amount
`= 10,500 - 35%` of 10,000
= 10,500 - `35/100 xx 10,000`
= 10,500 - 3,500
= Rs. 7,000.
For the second year,
P2 = Rs. 7000, R = 5%
I2 = `(7,000 xx 5 xx 1)/100` = 350
A2 = 7000 + 350 = Rs. 7,350
At the end of the second year, he repays 42% of the sum borrowed so he repays the amount =
= 7,350 - `42/100 xx 10,000`
= 7350 - 4200
= Rs. 3150
For the Third year
P3 = Rs. 3150, R = 5%
I3 =`(3150 xx 5 xx 1)/100` = 157.5
A3 = 3150 + 157.5 = Rs. 3307.50
Hence he pays Rs. 3307.50 at the end of the third year in order to clear the debt.
APPEARS IN
संबंधित प्रश्न
Calculate the amount and the compound interest for the following:
Rs.20, 000 at9°/o p.a. in `2 1/3` years
A sum of Rs. 65000 is invested for 3 years at 8 % p.a. compound interest.
Find the compound interest earned in the last year.
Aryan borrowed a sum or Rs. 36,000 for `1 1/2` years at 10 % p.a. compound interest.
Find the amount he needs to return to clear the debt.
Archana borrowed Rs 18,000 from Ritu at 12% p.a. compound interest. If at the end of the 1st, 2nd, and 3rd years, Archana returned Rs 5,250, Rs 5,875 and Rs 6,875 respectively, find the amount Archana has to pay Ritu at the end of the 4th year to clear her debt.
Prakash borrowed Rs 10,000 from Rajesh for 2 years at 6% and 8% p.a. compound interest for successive years. If Prakash returns Rs 5,600 at the end of the first year, how much does he have to give to Rajesh at the end of the second year to clear the loan?
Rs.16,000 is invested at 5% compound interest compounded per annum. Use the table, given below, to find the amount in 4 years.
| Year ↓ |
Initial amount (Rs.) |
Interest (Rs.) |
Final amount (Rs.) |
| 1st | 16,000 | 800 | 16,800 |
| 2nd | ........... | ........... | ........... |
| 3rd | ........... | ........... | ........... |
| 4th | ........... | ........... | ........... |
| 5th | ........... | ........... | ........... |
Calculate the amount and the compound interest on:
Rs. 8,000 in `2 1/2` years at 15% per year.
Calculate the compound interest for the second year on ₹ 8,000/- invested for 3 years at 10% per annum.
Find the compound interest on Rs. 4,000 accrued in three years, when the rate of interest is 8% for the first year and 10% per year for the second and the third years.
Mr. Kumar borrowed Rs. 15,000 for two years. The rate of interest for the two successive years are 8% and 10% respectively. If he repays Rs. 6,200 at the end of the first year, find the outstanding amount at the end of the second year.
