Advertisements
Advertisements
प्रश्न
A certain sum of money invested for 5 years at 8% p.a. simple interest earns an interest of ₹ 12,000. Find:
(i) the sum of money.
(ii) the compound interest earned by this money in two years and at 10% p.a. compound interest.
Advertisements
उत्तर
Rate (R) = 8% p.a.
Period (T) = 5 years
Interest (I) = ₹12000
(i) ∴ Sum = `("I"xx100)/("R"xx"T")`
`=₹(12000xx100)/(8xx5)`
= ₹30000
(ii) Rate (R) = 10% p.a.
Time (T) = 2 years
Principal (P) = ₹30000
Interest for the first year = `"PRT"/100`
`=₹(30000xx10xx1)/100`
= ₹3000
∴ Amount after one year = ₹30000 + 3000
= ₹33000
Principal for the second year = ₹33000
Interest for the second year =`(33000xx10xx1)/100`
= ₹3300
∴ Compound Interest for two years
= ₹3000 + 3300
= ₹6300
APPEARS IN
संबंधित प्रश्न
Find the difference between the compound interest and simple interest. On a sum of Rs 50,000 at 10% per annum for 2 years.
The difference between the S.I. and C.I. on a certain sum of money for 2 years at 4% per annum is Rs 20. Find the sum.
Find the amount and the compound interest.
| No. | Principal (₹) | Rate (p.c.p.a.) | Duration (Years) |
| 1 | 2000 | 5 | 2 |
| 2 | 5000 | 8 | 3 |
| 3 | 4000 | 7.5 | 2 |
On a certain sum of money, invested at the rate of 10 percent per annum compounded annually, the interest for the first year plus the interest for the third year is Rs. 2,652. Find the sum.
A sum of Rs. 13,500 is invested at 16% per annum compound interest for 5years. Calculate :
(i) the interest for the first year.
(ii) the amount at the end of first year.
(iii) the interest for the second year, correct to the nearest rupee.
Calculate the compound interest for the second year on Rs. 15000 invested for 5 years at 6% per annum.
Peter borrows ₹ 12,000 for 2 years at 10% p.a. compound interest. He repays ₹ 8,000 at the end of the first year. Find:
- the amount at the end of the first year, before making the repayment.
- the amount at the end of the first year, after making the repayment.
- the principal for the second year.
- the amount to be paid at the end of the second year, to clear the account.
The simple interest on a certain sum for 3 years at 4% is Rs 600. Find the compound interest for the same sum at the same percent and in the same time.
Find the compound interest on ₹ 3200 at 2.5% p.a for 2 years, compounded annually
Suppose for the principal P, rate R% and time T, the simple interest is S and compound interest is C. Consider the possibilities.
- C > S
- C = S
- C < S
Then
