The amount received at 10% per annum compound interest after 3 yrs is Rs. 10,648. What was the principal (in Rs.)?
8000
Using \(A = P\left(1 + \tfrac{R}{100}\right)^n\) with \(R = 10\%\), \(n = 3\):
\[10648 = P \times (1.1)^3 = P \times 1.331\]
\[P = \frac{10648}{1.331} = \mathbf{8000}\]
Similar Questions
If interest be compounded half-yearly, then find the compound interest on ₹8,000 at the rate of 20% per annum for 1 year.
What is the compound interest on a sum of ₹25,000 after three years at a rate of 12 per cent per annum interest compounded yearly?
Find the amount (integral value only) if a sum of ₹6,500 is being borrowed at 10% interest per annum for 2 years if interest is compounded half-yearly
A sum invested at compound interest amounts to Rs. 7,800 in 3 years and Rs. 11,232 in 5 years. What is the rate per cent?
What is the amount (in ₹) of a sum of ₹32,000 at 20% per annum for 9 months, compounded quarterly?
The compound interest on a certain sum of money at 21% p.a. for 2 years is Rs. 11,138.40 (interest compounded yearly). The total amount received (in Rs) after 2 years is:
Divide Rs. 66,300 between A and B in such a way that the amount that A receives after 8 years is equal to the amount that B receives after 10 years; with compound interest being compounded annually at a rate of 10% per annum.
Vipul and Manish invested the sum of Rs. 15000 and Rs. 20000 at the rate of 20 percent p.a and 30 percent p.a. respectively on compound interest (compounding annually). If time period is 3 years for both, then what will be the total compound interest earned by Vipul and Manish ?
What is the compound interest (in Rs.) on a sum of Rs. 8192 for \(1 \frac{1}{4}\) years at 15% per annum, if interest is compounded 5-monthly ?
A sum of Rs. 3125 amounts to Rs. 3515.20 in 3 years at x% p.a., interest being compounded yearly. What will be the simple interest (in Rs.) on the same sum and for the same time at (x + 2)% p.a.?
Important Questions from Compound Interest
The certain sum amounts to Rs. 9,982.50 in \(2\frac{1}{2}\) years at 12% p.a., interest compounded 10-monthly. The sum (in Rs.) is:
The difference between the simple interest and the compound interest compounded annually on a certain sum of money for 2 years at a rate of 8% per annum is Rs. 16.80. Find the principle amount.
If a sum of ₹ 2000 is lent at 10% p.a. compound interest, what is the interest for the second year?
A sum becomes 5 times of itself in 3 years. at compound interest (interest is compounded annually). In how many years. will the sum becomes 125 times of itself?
If the compound interest on a certain sum of money for two years at 9% p.a. is Rs. 3,762, then the sum is:
