If the compound interest (compounding annually) for the first and second years on a sum of Rs. 800 and Rs. 880 respectively. find the rate of interest per annum.
Show answer & explanation
Correct answer: B
Explanation
The correct answer is option 2 i.e. 10%.
When the compound interest of two consecutive years is given then the difference between the interest for two years is taken as D and the rate of interest R can be calculated as follows,
Rate =
where P is the interest of first year and T is 1.
According to the given question,
Difference between the compound interest of two consecutive years = 880 - 800 = 80
⇒ Rate =
⇒ 10%
Hence the rate of interest per annum is 10%.