If simple interest on ₹2 000 increases by ₹40when the time increases b...
Solution:
Given, principal amount (P) = ₹2 000 and increase in simple interest (I) = ₹40
Let the rate percent per annum (R) be x% and the time period (T) be y years.
According to the question, we have
(I) = PRT/100
⇒ 40 = (2000)(x)(4)/100
⇒ x = 1%
Therefore, the rate percent per annum is 1%. Hence, the correct option is (a).
Explanation:
To solve this question, we need to use the formula for simple interest which is given by I = PRT/100, where I is the interest, P is the principal amount, R is the rate percent per annum and T is the time period.
We are given that when the time period increases by 4 years, the increase in simple interest is ₹40. Using this information, we can form the equation 40 = P(x)(4)/100, where P is the principal amount and x is the rate percent per annum.
Solving this equation for x, we get x = 1%. Therefore, the rate percent per annum is 1%.
Hence, option (a) is the correct answer.