मराठी

What Sum Will Amount to Rs 4913 in 18 Months, If the Rate of Interest is 12 1 2 % per Annum, Compounded Half-yearly?

Advertisements
Advertisements

प्रश्न

What sum will amount to Rs 4913 in 18 months, if the rate of interest is \[12\frac{1}{2} \%\] per annum, compounded half-yearly?

बेरीज
Advertisements

उत्तर

Let the sum be Rs x.
Given: 
A = Rs 4913
R = 12 . 5 % 
n = 18 months = 1 . 5 years
We know that: 
\[A = P \left( 1 + \frac{R}{200} \right)^{2n} \]
\[4, 913 = P \left( 1 + \frac{R}{200} \right)^{2n} \]
\[4, 913 = x \left( 1 + \frac{12 . 5}{200} \right)^3 \]
\[4, 913 = x\left[ \left( 1 . 0625 \right)^3 \right]\]
\[x = \frac{4, 913}{1 . 1995}\]
\[ = 4, 096\]
Thus, the required sum is Rs 4, 096 .

shaalaa.com
  या प्रश्नात किंवा उत्तरात काही त्रुटी आहे का?

व्हिडिओ ट्यूटोरियलVIEW ALL [1]

संबंधित प्रश्‍न

Find the amount and the compound interest on Rs 10,000 for `1 1/2` years at 10% per annum, compounded half yearly. Would this interest be more than the interest he would get if it was compounded annually?


Find the compound interest at the rate of 10% per annum for two years on that principal which in two years at the rate of 10% per annum gives Rs 200 as simple interest.


Ramesh deposited Rs 7500 in a bank which pays him 12% interest per annum compounded quarterly. What is the amount which he receives after 9 months.


Find the compound interest on Rs 15625 for 9 months, at 16% per annum, compounded quarterly.


Rekha deposited Rs 16000 in a foreign bank which pays interest at the rate of 20% per annum compounded quarterly, find the interest received by Rekha after one year.


At what rate percent compound interest per annum will Rs 640 amount to Rs 774.40 in 2 years?


A sum of money deposited at 2% per annum compounded annually becomes Rs 10404 at the end of 2 years. Find the sum deposited.


Ashima took a loan of Rs 1,00,000 at 12% p.a. compounded half-yearly. She paid Rs 1,12,360. If (1.06)2 is equal to 1.1236, then the period for which she took the loan is ______.


The compound interest on a sum of Rs P for T years at R% per annum compounded annually is given by the formula `P(1 + R/100)`.


Rahim borrowed Rs 10,24,000 from a bank for one year. If the bank charges interest of 5% per annum, compounded half-yearly, what amount will he have to pay after the given time period. Also, find the interest paid by him.


Share
Notifications

Englishहिंदीमराठी


      Forgot password?
Use app×