Advertisements
Advertisements
प्रश्न
A sum of money is lent at 8% per annum compound interest. If the interest for the second year exceeds that for the first year by Rs. 96, find the sum of money.
उत्तर
Let money be Rs100
For 1st year
P = Rs. 100; R = 8% and T = 1 year.
Interest for the first year = Rs. `[ 100 xx 8 xx 1]/100` = Rs. 8
Amount = Rs. 100 + Rs. 8 = Rs. 108
For 2nd year
P = Rs.108; R = 8% and T= 1year.
Interest for the second year= Rs. `[ 108 xx 8 xx 1]/100` = Rs. 8.64
Difference between the interests for the second and first year = Rs. 8.64 - Rs. 8 = Rs. 0.64
Given that interest for the second year exceeds the first year by Rs. 96.
When the difference between the interests is Rs. 0.64, principal is Rs. 100
When the difference between the interests is Rs96, principal = Rs. `[96 xx 100]/0.64` = Rs. 15,000.
APPEARS IN
संबंधित प्रश्न
At what rate % p.a. will a sum of Rs. 4000 yield Rs. 1324 as compound interest in 3 years?
Calculate the amount and the compound interest for the following:
Rs.20, 000 at9°/o p.a. in `2 1/3` years
Alisha invested Rs 75000 for 4 years at 8 % p.a. compound interest ,
Find the amount at the end of the second year.
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 at the end of three years.
Calculate the arnount and the cornpound interest for the following:
Rs 20,000 for 3 years at `7 1/2 %` for the first year, 8% for the second year and 10% for the third year.
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.
Archana borrowed Rs 18,000 from Ritu at 12% p.a. compound interest. If at the end of the 1st, 2nd, and 3rd years, Archana returned Rs 5,250, Rs 5,875 and Rs 6,875 respectively, find the amount Archana has to pay Ritu at the end of the 4th year to clear her debt.
Find the sum invested at `12 1/2` p.a. compound interest on which the interest for the third year exceeds that of the first year by Rs 531.25.
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.
Calculate the amount and the compound interest on:
Rs. 16,000 in 3 years, when the rates of the interest for successive years are 10%, 14% and 15% respectively.
