The difference between simple interest on a certain sum at the annual rate of 11 percent for 8 years and 9 years is Rs. 132. What is the sum?
Show answer & explanation
Correct answer: D
Explanation
The correct answer is option 4 i.e. Rs. 1200.
Simple Interest = P × R × T / 100
( P ) is the principal,
( R ) is the annual rate of interest,
( T) is the time in years.
Simple interest for 8 years =
Simple Interest for 9 years =
The difference in simple interest for 9 years and 8 years is Rs. 132.
⇒ 99P / 100 - 88P / 100 = 132
⇒( 99P - 88P) / (100) = 132
⇒(11P) / (100) = 132
⇒ 11P = 13200
⇒ P = (13200) / (11) = 1200
The principal sum is Rs. 1200.