Advertisements
Advertisements
प्रश्न
Simple interest on a sum of money for 2 years at 4% is Rs. 450. Find compound interest on the same sum and at the same rate for 1 year, if the interest is reckoned half yearly.
Advertisements
उत्तर
1st case
Given: S.I. = Rs. 450; Time = 2 years and Rate = 4%
∴ Principle = `[ "I" xx 100 ]/[ "R" xx "T"]`
= `[ 450 xx 100 ]/[ 4 xx 2 ]`
= Rs. 5625
2nd case (compounded half-yearly)
P = Rs. 5,625; n = 1 year and r = 4%
∴ A = P`(1 + r/[ 2 xx 100 ])^( n xx 2)`
= `5625(1 + 4/[ 2 xx 100 ])^(1 xx 2)`
= `5625(51/50)^2`
= Rs. 5852.25
∴ C.I. = 5852.25 - 5625
= Rs. 227.25
APPEARS IN
संबंधित प्रश्न
The compound interest, calculated yearly, on a certain sum of money for the second year is Rs. 1320 and for the third year is Rs. 1452. Calculate the rate of interest and the original sum of money
Calculate the amount and the compound interest for the following:
Rs. 76, 000 at 10 °/o p.a. in `2 1/2` years
The value of a machine, purchased two years ago, depreciates at the annual rate of 10%. If its present value is Rs.97,200, find:
- Its value after 2 years.
- Its value when it was purchased.
Anuj and Rajesh each lent the same sum of money for 2 years at 8% simple interest and compound interest respectively. Rajesh received Rs. 64 more than Anuj. Find the money lent by each and interest received.
The simple interest on a certain sum of money for 3 years at 5% per annum is Rs.1,200. Find the amount and the compound interest due on this sum of money at the same rate and after 2 years. Interest is reckoned annually.
Find the amount and the compound interest payable annually on:
Rs.17500 for 3 years at 8%, 10% and 12% for the successive years.
Compute the compound interest for the third year on Rs. 5000 invested for 5 years at 10% per annum, the interest being payable annually.
A man invests Rs 24000 for two years at compound interest, If his money amounts to Rs 27600 after one year, find the amount at the end of second year.
Find the amount and the compound interest on Rs 17500 for 3 years, if the rates for successive years is 4%, 5% and 6% respectively, the interest is payable annually.
Priyanka lends Rs.15,500 at 10% for the first year, at 15% for the second year and at 20% for the third year. If the rates of interest are compounded yearly, find the difference between the compound interest of the second year and the third year.
