Advertisements
Advertisements
प्रश्न
Mr Lalit invested Rs. 5000 at a certain rate of interest, compounded annually for two years. At the end of the first year, it amounts to Rs. 5325. Calculate
1) The rate of interest
2) The amount at the end of the second year, to the nearest rupee.
Advertisements
उत्तर
1) P = Rs. 5000, T = 1 year, A =Rs. 5325
I = A - P
⇒ I = 5325 - 5000
⇒ I = 325
So, the interest at the end of first year is Rs. 325.
`I = (PRT)/100`
`=> R = (I xx100)/(PxxT)`
`=> R = (325 xx 100)/(5000 xx 1)`
`=> R = 32500/5000 = 6.5%`
So,the rate of interest at the end of the first year is 6.5 %
2) The amount at the end of the first year will be the principal for the second year.
P = Rs. 5325, T = 1 year, R = 6.5%
`I = (PRT)/100`
`=> I = (5325 xx 6.5 × 1)/100`
`=> I = 346.125`
A = P + I
⇒ A =5325 + 346.125
⇒ A =5671.125
⇒ A ≈ Rs 5671
So, the amount at the end of the second year is Rs. 5671.
APPEARS IN
संबंधित प्रश्न
The present population of the town is 2,00,000. The population is increased by 10% in the first year and 15% in the second year. Find the population of the town at the end of two years.
Ranbir borrows Rs. 20,000 at 12% per annum compound interest. If he repays Rs. 8400 at the end of the first year and Rs. 9680 at the end of the second year, find the amount of loan outstanding at the beginning of the third year.
Calculate the amount and the compound interest for the following:
Rs.30,000 at 8°/o p.a. in `2 1/2` years
A sum of money was invested for 3 years, interest being compounded annually. The rates for successive years were 10%, 15% and 18% respectively. If the compound interest for the second year amounted to Rs. 4,950, find the sum invested.
The simple interest on a certain sum of money for 3 years at 5% per annum is Rs.1,200. Find the amount and the compound interest due on this sum of money at the same rate and after 2 years. Interest is reckoned annually.
Find the amount and the compound interest payable annually on:
Rs.17500 for 3 years at 8%, 10% and 12% for the successive years.
Compute the compound interest for the third year on Rs. 5000 invested for 5 years at 10% per annum, the interest being payable annually.
Find the difference between the compound interest and simple interest on Rs 20,000 at 12% per annum for 3 years, the compound interest being payable annually.
What sum will amount to Rs.10120 in 2 years at C.I. payable annually, if the rates are 10% and 15% for the successive years?
What principal will amount to Rs.15729 in two years, if the rate of interest for successive years are 5% and 7% respectively, the interest is being compounded annually.
