Advertisements
Advertisements
प्रश्न
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.
Advertisements
उत्तर
Given : Principal = Rs.4,715; time = 5 years and rate= 5% p.a.
∴ S.I. = `[ "P" xx "R" xx "T" ]/100 = [ 4715 xx 5 xx 5 ]/100 = Rs. 1,178.75`
Then C.I. = Rs.1,178.75 x 4 = Rs. 4,715
Time = 2 years and rate = 5%
∴ C.I. = P`[( 1 + r/100)^n - 1 ]`
⇒ 4,715 = P`[( 1 + 5/100)^2 - 1 ]`
⇒ 4,715 = P`[41/400]`
⇒ P = Rs. `[ 4,715 xx 400 ]/41` = Rs. 46,000.
APPEARS IN
संबंधित प्रश्न
In what time will Rs. 1500 yield Rs. 496.50 as compound interest at 10% per annum compounded annually?
Calculate the amount and the compound interest for the following:
Rs.22, 500 at 12 °/o p.a. in `1 3/4` years
Calculate the amount and the compound interest for the following:
Rs.16, 000 at 15 °/o p.a. in `2 2/3` 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 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.
Rohit borrows Rs. 86,000 from Arun for two years at 5% per annum simple interest. He immediately lends out this money to Akshay at 5% compound interest compounded annually for the same period. Calculate Rohit's profit in the transaction at the end of two years.
Calculate the amount and compound interest on Rs 20000 for 3 years at 10% per annum, 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.
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.
