Advertisements
Advertisements
प्रश्न
Calculate the amount and compound interest on Rs 8000 for 1 year at 9% per annum compound half yearly. (You could use the year by year calculation using SI formula to verify)
Advertisements
उत्तर
Principal (P) = Rs 8000
Rate of interest = 9% per annum or `9/2` % per half year
Number of years = 1 year
There will be 2 half years in 1 year.
`A = P(1 + R/100)^n`
= `Rs [8000(1 + 9/200)^2]`
= Rs `[8000(209/200)^2] = Rs 8736.20`
C.I. = A − P = Rs 8736.20 − Rs 8000 = Rs 736.20
संबंधित प्रश्न
Kamala borrowed from Ratan a certain sum at a certain rate for two years simple interest. She lent this sum at the same rate to Hari for two years compound interest. At the end of two years she received Rs 210 as compound interest, but paid Rs 200 only as simple interest. Find the sum and the rate of interest.
At what rate percent per annum will a sum of Rs 4000 yield compound interest of Rs 410 in 2 years?
A certain sum of money is put at compound interest, compounded half-yearly. If the interest for two successive half-years are Rs. 650 and Rs. 760.50; find the rate of interest.
Geeta borrowed Rs. 15,000 for 18 months at a certain rate of interest compounded semi-annually. If at the end of six months it amounted to Rs. 15,600; calculate :
(i) the rate of interest per annum.
(ii) the total amount of money that Geeta must pay at the end of 18 months in order to clear the account.
Rachna borrows Rs. 12,000 at 10 percent per annum interest compounded half-yearly. She repays Rs. 4,000 at the end of every six months. Calculate the third payment she has to make at end of 18 months in order to clear the entire loan.
A sum of Rs. 8,000 is invested for 2 years at 10% per annum compound interest. Calculate:
(i) interest for the first year.
(ii) principal for the second year.
(iii) interest for the second year.
(iv) the final amount at the end of the second year
(v) compound interest earned in 2 years.
Calculate the amount and the compound interest on Rs. 10,000 in 3 years at 8% per annum.
If the compound interest is calculated quarterly, the amount is found using the formula __________
A principal becomes ₹ 2028 in 2 years at 4% p.a compound interest. Find the principal
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
