A certain sum of money amounts to Rs. 12144 at simple interest in 4 years and to Rs.13984 in 6 years. The rate of interest is:
Show answer & explanation
Correct answer: B
Explanation
The correct answer is option 2 i.e. 8%
Given:
A certain sum of money amounts to Rs. 12144 at simple interest in 4 years and to Rs.13984 in 6 years
Formula used:
Simple interest = PRT/100 where ----- (1)
P = Principle, R = rate and T = time
Calculations:
Simple interest for 2.5 years = 13984 - 12144 = 1840
Interest for 1 year = 1840/2.5 = 736
Principle = 12144 - (736 × 4) = 9200
Using equation (1), we get
⇒ 736 = (9200 × 1 × R)/100
⇒ R = 736/92 = 8%