Advertisements
Advertisements
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.
Advertisements
उत्तर
Given:
Compound Interest for second year = ₹ 1320
Compound Interest for third year = ₹ 1452
r = ?, P = ?
For third year: P = ₹ 1320,
I = 1452 – 1320 = ₹ 132
T = 1 year
∴ I = `("P" xx "R" xx "T")/(100)`
132 = `(1320 xx "R" xx 1)/(100)`
R = `(132 xx 100)/(1320)`
R = 10% p.a.
Now, let the principal for first year be x.
Then I = `("P" xx "R" xx "T")/(100)`
= `(10x)/(100)`
= `x/(100)`
Amount for first year = x + `x/(100) = (11x)/(100)`
For second year:
P = `(11 x)/(10)`, R = 10% p.a., T = 1 year
I = `((11x)/(10) xx 10 xx 1)/(100)`
I = `(11x)/(100)`
From question,
`(11x)/(100)` = 1320
⇒ `x = (1320 xx 100)/(11)`
= 12000
Thus the original sum of money is ₹ 12,000.
APPEARS IN
संबंधित प्रश्न
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.
Calculate the amount and the compound interest for the following:
Rs.25, 000 at `8 2/5 %` p.a. in `1 1/3` years
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.
Natasha gave Rs.6O,OOO to Nimish for 3 years at 15%,p.a. compound interest.
Calculate to the nearest rupee :
The amount Natasha receives at the end of 3 years.
Prerna borrowed Rs.16000 from a friend at 15 % p.a. compound interest. Find the amount , to the nearest rupees, that she needs to return at the end of 2.4 years to clear the debt.
Calculate the amount and cornpound interest for the following, when cornpounded annually:
Rs 25,000 for 3 years at 8 % p.a.
Rs.16,000 is invested at 5% compound interest compounded per annum. Use the table, given below, to find the amount in 4 years.
| Year ↓ |
Initial amount (Rs.) |
Interest (Rs.) |
Final amount (Rs.) |
| 1st | 16,000 | 800 | 16,800 |
| 2nd | ........... | ........... | ........... |
| 3rd | ........... | ........... | ........... |
| 4th | ........... | ........... | ........... |
| 5th | ........... | ........... | ........... |
Find the compound interest, correct to the nearest rupee, on Rs. 2,400 for `2 1/2` years at 5 per cent per annum.
Meenal lends Rs. 75,000 at C.I. for 3 years. If the rate of interest for the first two years is 15% per year and for the third year it is 16%, calculate the sum Meenal will get at the end of the third year.
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.
