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
Calculate the amount and the compound interest for the following:
Rs.10,000 at 8°/o p.a. in `2 1/4` years
The value of a car depreciated by 10% in the first 2 years and by 8% in the third year. Express the total depreciation of the car as a single per cent during the three years.
The value of a scooter depreciates by 12% of its value at the beginning of the year. Find the original value of the scooter if it depreciated by Rs 2,640 in the second year.
Find the compound interest to the nearest rupee on Rs. 10,800 for `2 1/2` years at 10% per annum.
Calculate the sum of money on which the compound interest (payable annually) for 2 years be four times the simple interest on Rs. 4,715 for 5 years, both at the rate of 5% per annum.
Rakesh invests Rs.25600 at 5% per annum compound interest payable annually for 3 years. Find the amount standing to his credit at the end of the second year.
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 difference between the compound interest and simple interest on Rs 20,000 at 12% per annum for 3 years, the compound interest being payable annually.
Ankita bought a gold ring worth Rs.x. The value of the ring increased at 10% per year compounded annually, on which the appreciation for the first year plus the appreciation for the second year amounts to Rs.6300. Find the value of the ring.
What principal will amount to Rs.15729 in two years, if the rate of interest for successive years are 5% and 7% respectively, the interest is being compounded annually.
