Advertisements
Advertisements
प्रश्न
Kamala borrowed Rs 26400 from a Bank to buy a scooter at a rate of 15% p.a. compounded yearly. What amount will she pay at the end of 2 years and 4 months to clear the loan?
(Hint: Find A for 2 years with interest is compounded yearly and then find SI on the 2nd year amount for `4/12` years.)
Advertisements
उत्तर
Principal (P) = Rs 26,400
Rate (R) = 15% per annum
Number of years (n) = `2 4/12` year
The amount for 2 years and 4 months can be calculated by first calculating the amount for 2 years using the compound interest formula, and then calculating the simple interest for 4 months on the amount obtained at the end of 2 years.
Firstly, the amount for 2 years has to be calculated.
`A = Rs [26400(1 + 15/100)^2] = Rs [26400 (1 + 3/20)^2]`
= `Rs (26400 xx23/20 xx23/20)` = Rs 34914
By taking Rs 34,914 as principal, the S.I. for the next `1/3` years will be calulated
S.I. Rs `((34914 xx 1/3 xx 15)/100)` = Rs . 1745.70
Interest for the first two years = Rs (34914 − 26400) = Rs 8,514
And interest for the next `1/3` year = Rs 1,745.70
Total C.I. = Rs (8514 + Rs 1745.70) = Rs 10,259.70
Amount = P + C.I. = Rs 26400 + Rs 10259.70 = Rs 36,659.70
संबंधित प्रश्न
Arif took a loan of Rs 80,000 from a bank. If the rate of interest is 10% per annum, find the difference in amounts he would be paying after `1 1/2` years if the interest is
(1) Compounded annually
(2) Compounded half yearly
Maria invested Rs 8,000 in a business. She would be paid interest at 5% per annum compounded annually. Find.
1) The amount credited against her name at the end of the second year
2) The interest for the 3rd year.
Find the amount and the compound interest on Rs 10,000 for `1 1/2` years at 10% per annum, compounded half yearly. Would this interest be more than the interest he would get if it was compounded annually?
Swati took a loan of Rs 16000 against her insurance policy at the rate of \[12\frac{1}{2} %\] per annum. Calculate the total compound interest payable by Swati after 3 years.
Find the compound interest on Rs 8000 for 9 months at 20% per annum compounded quarterly.
Anil borrowed a sum of Rs 9600 to install a handpump in his dairy. If the rate of interest is \[5\frac{1}{2} %\] per annum compounded annually, determine the compound interest which Anil will have to pay after 3 years.
Ramu borrowed Rs 15625 from a finance company to buy a scooter. If the rate of interest be 16% per annum compounded annually, what payment will he have to make after \[2\frac{1}{4}\] years?
Find the principal if the interest compounded annually at the rate of 10% for two years is Rs 210.
For calculation of interest compounded half yearly, keeping the principal same, which one of the following is true?
If principal = Rs 1,00,000, rate of interest = 10% compounded half yearly. Find
- Interest for 6 months.
- Amount after 6 months.
- Interest for next 6 months.
- Amount after one year.
