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.
Advertisements
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
Mr Kumar borrowed Rs. 15000 for two years. The rates of interest for two successive years are 8% and 10% respectively. If he repays Rs. 6200 at the end of the first year, find the outstanding amount at the end of the second year.
Alisha invested Rs 75000 for 4 years at 8 % p.a. compound interest,
Find the interest earned in the third 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 had he chosen tlle duration of the deposit to be 2 years.
Pooja borrowed Rs 15,000 from Sonali at 11% p.a. compound interest. If she repays Rs 7,550 at the end of first year and Rs 6,101 at the end of second year, find the amount Pooja needs to give to Sonali at the end of third year to clear her debt.
Find the sum invested at 8% p.a. compound interest on which the interest for the third year exceeds that of the first year by Rs 166.40.
Find the compound interest on Rs. 4,000 accrued in three years, when the rate of interest is 8% for the first year and 10% per year for the second and the third years.
Govind borrows Rs 18,000 at 10% simple interest. He immediately invests the money borrowed at 10% compound interest compounded half-yearly. How much money does Govind gain in one year?
A man borrows Rs. 5,000 at 12 percent compound interest payable every six months. He repays Rs. 1,800 at the end of every six months. Calculate the third payment he has to make at the end of 18 months in order to clear the entire loan.
A man invests ₹ 5,600 at 14% per annum compound interest for 2 years. Calculate:
- the interest for the first year.
- the amount at the end of the first year.
- the interest for the second year, correct to the nearest rupee.
A man saves Rs. 3,000 every year and invests it at the end of the year at 10% compound interest. Calculate the total amount of his savings at the end of the third years.
