Advertisements
Advertisements
प्रश्न
Calculate the amount and compound interest on Rs 18000 for `2 1/2` years at 10% per annum compounded annually.
Advertisements
उत्तर
Principal (P) = Rs 18,000
Rate (R) = 10% annual
Number of years (n) = `2 1/2` year
The amount for 2 years and 6 months can be calculated by first calculating the amount for 2 years using the compound interest formula, and then calculating the simple interest for 6 months on the amount obtained at the end of 2 years.
Firstly, the amount for 2 years has to be calculated.
`A = Rs[18000(1 + 1/10)^2] = Rs (18000xx11/10xx11/10)` = Rs 21780
By taking Rs 21780 as principal, the S.I. for the next `1/2` year will be calculated.
S.I = Rs `((21780 xx 1/2 xx 10)/100)` = Rs 1089
∴ Interest for the first 2 years = Rs (21780 − 18000) = Rs 3780
And interest for the next `1/2` year = Rs 1089
∴ Total C.I. = Rs 3780 + Rs 1089 = Rs 4,869
A = P + C.I. = Rs 18000 + Rs 4869 = Rs 22,869
संबंधित प्रश्न
Find the compound interest at the rate of 5% for three years on that principal which in three years at the rate of 5% per annum gives Rs 12000 as simple interest.
Rachana borrowed a certain sum at the rate of 15% per annum. If she paid at the end of two years Rs 1290 as interest compounded annually, find the sum she borrowed.
The present population of a town is 28000. If it increases at the rate of 5% per annum, what will be its population after 2 years?
The compound interest, calculated yearly, on a certain sum of money for the second year is Rs. 1,089 and for the third year it is Rs. 1,197.90. Calculate the rate of interest and the sum of money.
What sum will amount of Rs. 6,593.40 in 2 years at C.I. , if the rates are 10 per cent and 11 per cent for the two successive years ?
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.
The compound interest on ₹ 5000 at 12% p.a for 2 years, compounded annually is ___________
If the present population of a city is P and it increases at the rate of r% p.a, then the population n years ago would be `"P"(1 + "r"/100)^"n"`
Find the compound interest on ₹ 3200 at 2.5% p.a for 2 years, compounded annually
Compound interest is the interest calculated on the previous year’s amount.
