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 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
The value of a machine depreciates by 10%, 12% and 15% in the first 3 years. Express the total depreciation of the machine as a single per cent during the three years.
A certain sum of money invested at compound interest compounded annually amounted to Rs 26,450 in 2 years and to Rs 30,417.50 in 3 years. Calculate the rate of interest and the sum invested.
The value of a machine, purchased two years ago, depreciates at the annual rate of 10%. If its present value is Rs.97,200, find:
- Its value after 2 years.
- Its value when it was purchased.
Rohit borrows Rs. 86,000 from Arun for two years at 5% per annum simple interest. He immediately lends out this money to Akshay at 5% compound interest compounded annually for the same period. Calculate Rohit's profit in the transaction at the end of two years.
Nikita invests Rs.6,000 for two years at a certain rate of interest compounded annually. At the end of first year it amounts to Rs.6,720. Calculate:
(a) The rate of interest.
(b) The amount at the end of the second year.
Rakesh invests Rs.25600 at 5% per annum compound interest payable annually for 3 years. Find the amount standing to his credit at the end of the second year.
A man borrows Rs.20000 at 10% per annum compound interest payable annually. If he repays Rs.5000 at the end of the first year and Rs.10000 at the end of the second year; how much should he pay at the end of the third year in order to clear the account? Find the answer correct to the nearest rupee.
Find the amount and the compound interest on the following :
Rs.16000 for 3 years at 10%, 8% and 6% for 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.
