Advertisements
Advertisements
प्रश्न
In how many years will ₹ 3375 become ₹ 4096 at `13 1/3` p.a if the interest is compounded half-yearly?
Advertisements
उत्तर
Principal = ₹ 3375
Amount = ₹ 4096
r = `13 1/3% "p.a"`
= `40/3% "p.a"`
Compounded half-yearly r = `(40/3)/2 = 20/3%` half-yearly
Let no. of years be n
For compounding half-yearly, formula is
A = `"P"(1 + "r"/100)^(2"n")`
∴ 4096 = `3375 + (1 + (20/3)/100)^(2"n")`
∴ `4096/3375 = (1 + 20/(3 xx 100))^(2"n")`
= `(1 + 1/15)^(2"n")`
`((15 + 1)/15)^(2"n") = (16/15)^(2"n")`
⇒ `4096/3375 = (16/15)^(2"n")`
Taking cubic root on both sides,
`(16/15)^((2"n")/3) = root(3)(4096)/(root(3)(3375)) = 16/15`
∴ `(2"n")/3` = 1
∴ n = `3/2` = 1.5 years
APPEARS IN
संबंधित प्रश्न
Find the difference between the compound interest and simple interest. On a sum of Rs 50,000 at 10% per annum for 2 years.
The present population of a town is 28000. If it increases at the rate of 5% per annum, what will be its population after 2 years?
A man borrows Rs.10,000 at 10% compound interest compounded yearly. At the end of each year, he pays back 30% of the sum borrowed. How much money is left unpaid just after the second year ?
A man borrows Rs.10,000 at 10% compound interest compounded yearly. At the end of each year, he pays back 20% of the amount for that year. How much money is left unpaid just after the second year ?
Rachna borrows Rs. 12,000 at 10 percent per annum interest compounded half-yearly. She repays Rs. 4,000 at the end of every six months. Calculate the third payment she has to make at end of 18 months in order to clear the entire loan.
Find the amount and the compound interest payable annually on the following :
Rs.25000 for 1`(1)/(2)` years at 10% per annum.
The compound interest payable annually on a certain sum for 2 years is Rs 40.80 and the simple interest is Rs 40. Find the sum and the rate percent.
The difference between the C.I and S.I for 2 years for a principal of ₹ 5000 at the rate of interest 8% p.a is ___________
The present value of a machine is ₹ 16800. It depreciates at 25% p.a. Its worth after 2 years is ₹ 9450
Find the rate of compound interest at which a principal becomes 1.69 times itself in 2 years
