The sum of Rs.27,000 is divided into two persons A and B such that the simple interest by A and B at the rate of 15% p.a. after two years and four years, respectively, is equal. The total interest (in Rs.) received together by A and B is:
Show answer & explanation
Correct answer: D
Explanation
The correct answer is option 4 i.e. 10,800.
Let the shares of A and B be P1 and P2 respectively,
Now since interest obtained by both of them is same,
⇒ P1 × r × t1/100 = P2 × r × t2/100
⇒ P1 × 15 × 2/100 = P2 × 15 × 4/100
⇒ P1/P2 = 2/1
Thus, share of A = 2x and share of B = x
According to question, P1 + P2 = 27,000
⇒ 3x = 27,000
⇒ x = 9,000
Thus share of A = 2x = 18,000 , share of B x = = 9,000
Since both obtain equal interest, Total Simple Interest obtained by both of them = 2 × Simple Interest obtained by A
⇒ (2 × 18000 × 15 × 2)/100 = Rs.10,800