Advertisements
Advertisements
प्रश्न
At what rate percent compound interest per annum will Rs 640 amount to Rs 774.40 in 2 years?
Advertisements
उत्तर
Let the rate of interest be R % .
Then,
\[A = P \left( 1 + \frac{R}{100} \right)^n \]
\[774 . 40 = 640 \left( 1 + \frac{R}{100} \right)^2 \]
\[ \left( 1 + \frac{R}{100} \right)^2 = \frac{774 . 40}{640}\]
\[ \left( 1 + \frac{R}{100} \right)^2 = 1 . 21\]
\[ \left( 1 + \frac{R}{100} \right)^2 = \left( 1 . 1 \right)^2 \]
\[\left( 1 + \frac{R}{100} \right) = 1 . 1\]
\[\frac{R}{100} = 0 . 1\]
R = 10
Thus, the required rate of interest is 10 % per annum.
संबंधित प्रश्न
Kamala borrowed Rs 26400 from a Bank to buy a scooter at a rate of 15% p.a. compounded yearly. What amount will she pay at the end of 2 years and 4 months to clear the loan?
(Hint: Find A for 2 years with interest is compounded yearly and then find SI on the 2nd year amount for `4/12` years.)
Fabina borrows Rs 12,500 at 12% per annum for 3 years at simple interest and Radha borrows the same amount for the same time period at 10% per annum, compounded annually. Who pays more interest and by how much?
I borrowed Rs 12000 from Jamshed at 6% per annum simple interest for 2 years. Had I borrowed this sum at 6% per annum compound interest, what extra amount would I have to pay?
Mewa Lal borrowed Rs 20000 from his friend Rooplal at 18% per annum simple interest. He lent it to Rampal at the same rate but compounded annually. Find his gain after 2 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?
Romesh borrowed a sum of Rs 245760 at 12.5% per annum, compounded annually. On the same day, he lent out his money to Ramu at the same rate of interest, but compounded semi-annually. Find his gain after 2 years
Find the compound interest on Rs 15625 for 9 months, at 16% per annum, compounded quarterly.
Ramu borrowed Rs 15625 from a finance company to buy a scooter. If the rate of interest be 16% per annum compounded annually, what payment will he have to make after \[2\frac{1}{4}\] years?
Find the principal if the interest compounded annually at the rate of 10% for two years is Rs 210.
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.
