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
Alisha invested Rs 75000 for 4 years at 8 % p.a. compound interest ,
Find the amount at the end of the second year.
Ameesha loaned Rs. 24,000 to a friend for `2 1/2` at 10 % p.a. compound interest.
Calculate the interest earned by Ameesha.
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
Mohan borrowed Rs 25,000 at 10% p.a. compound interest. If he pays back Rs 7,500 every 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.
Prakash borrowed Rs 10,000 from Rajesh for 2 years at 6% and 8% p.a. compound interest for successive years. If Prakash returns Rs 5,600 at the end of the first year, how much does he have to give to Rajesh at the end of the second year to clear the loan?
Ramesh saves Rs 4,000 every year and invests it at 10% p.a. compound interest. Calculate his savings at the end of the third year.
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 manufacturer estimates that his machine depreciates by 15% of its value at the beginning of the year. Find the original value (cost) of the machine, if it depreciates by Rs. 5,355 during the second year.
The compound interest, calculated yearly, on a certain sum of money for the second year is Rs. 1320 and for the third year is Rs. 1452. Calculate the rate of interest and the original sum of money.
