Advertisements
Advertisements
प्रश्न
On a certain sum of money, the difference between the compound interest for a year, payable half-yearly, and the simple interest for a year is Rs. 180/- Find the sum lent out, if the rate of interest in both the cases is 10% per annum.
Advertisements
उत्तर
Let principal p = Rs. 100; R = 10%; T = 1 year
SI = `[100 xx 10 xx 1]/100` = Rs. 10.
CI payable at every 6 months
So, R = `10/2` = 5%
I = `[100 xx 5 xx 1]/100`= Rs. 5
A = 100 + 5 = Rs. 105
For second year
P = Rs. 105
I = `[ 105 xx 5 xx 1]/100` = Rs. 5.25
Total compound interest = 5 + 5.25 = Rs. 10.25
Difference of CI and SI = 10.25 - 10 = Rs. 0.25
When difference in interest is Rs. 0.25, sum = Rs. 100.
If the difference is Rs. 1 then
sum = `100/0.25`
If the difference is Rs. = 180 then
sum = `100/0.25 xx 180` = Rs. 72,000.
APPEARS IN
संबंधित प्रश्न
If a, b, c are in continued proportion, prove that (a + b + c) (a – b + c) = a2 + b2 + c2
Calculate the amount and the compound interest for the following:
Rs.25, 000 at `8 2/5 %` p.a. in `1 1/3` years
A sum of Rs. 65000 is invested for 3 years at 8 % p.a. compound interest.
Find the compound interest earned in the first two years.
Harijyot deposited Rs 27500 in a deposite scheme paying 12 % p.a. compound interest . If the duration of the deposite is 3 years , calculate :
The amount received by him had he chosen tlle duration of the deposit to be 2 years.
Natasha gave Rs.6O,OOO to Nimish for 3 years at 15%,p.a. compound interest.
Calculate to the nearest rupee :
The Compound Interest paid by Nimish
Rajan borrowed Rs 90,000 at 15% p.a. compound interest. If he repays Rs 35,000 at the end of each year, find the amount of loan outstanding at the beginning of the fourth year.
Mohan invested a certain sum at compound interest, compounded annually. If the interests for two successive years were Rs 600 and Rs 648, calculate the rate of interest and the sum invested.
Calculate the amount and the compound interest on:
Rs. 8,000 in `2 1/2` years at 15% per year.
Calculate the amount and the compound interest on :
₹ 4,600 in 2 years when the rates of interest of successive years are 10%and 12% respectively.
6000 workers were employed to construct a river bridge in four years. At the end of first year, 20% workers were retrenched; At the end of second year 5% of the workers at that time were retrenched. However, to complete the project in time, the number of workers was increased by 15% at the end of third year. How many workers were working during the fourth year?
