Advertisements
Advertisements
प्रश्न
On what sum will the compound interest at 5% per annum for 2 years compounded annually be Rs 164?
Advertisements
उत्तर
Let the sum be Rs x.
We know that:
CI = A - P
\[ = P \left( 1 + \frac{R}{100} \right)^n - P\]
\[ = P\left[ \left( 1 + \frac{R}{100} \right)^n - 1 \right]\]
\[164 = x\left[ \left( 1 + \frac{5}{100} \right)^2 - 1 \right]\]
\[164 = x\left[ \left( 1 . 05 \right)^2 - 1 \right]\]
\[x = \frac{164}{0 . 1025}\]
\[ = 1, 600\]
Thus, the required sum is Rs 1, 600.
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 amount which Ram will get on Rs 4,096, he gave it for 18 months at `12 1/2` %per annum, interest being compounded half yearly.
Surabhi borrowed a sum of Rs 12000 from a finance company to purchase a refrigerator. If the rate of interest is 5% per annum compounded annually, calculate the compound interest that Surabhi has to pay to the company after 3 years.
Amit borrowed Rs 16000 at \[17\frac{1}{2} \%\] per annum simple interest. On the same day, he lent it to Ashu at the same rate but compounded annually. What does he gain at the end of 2 years?
Kamal borrowed Rs 57600 from LIC against her policy at \[12\frac{1}{2} \%\] per annum to build a house. Find the amount that she pays to the LIC after \[1\frac{1}{2}\] years if the interest is calculated half-yearly.
Abha purchased a house from Avas Parishad on credit. If the cost of the house is Rs 64000 and the rate of interest is 5% per annum compounded half-yearly, find the interest paid by Abha after one year and a half.
Find the amount that David would receive if he invests Rs 8192 for 18 months at \[12\frac{1}{2} \%\] per annum, the interest being compounded half-yearly.
A sum of money was lent for 2 years at 20% compounded annually. If the interest is payable half-yearly instead of yearly, then the interest is Rs 482 more. Find the sum.
Find the rate percent per annum, if Rs 2000 amount to Rs 2315.25 in an year and a half, interest being compounded six monthly.
Sum of money amounts to Rs 453690 in 2 years at 6.5% per annum compounded annually. Find the sum.
