A part of Rs. 9600 is invested at a 5% annual return, while the remainder is invested at a 3% annual return. If the annual income from both portions is the same, what is the total income from the two investments ?

A. Rs. 320

B. Rs. 380

C. Rs. 410

D. Rs. 440

E. None of these

Answer: Option E

Solution(By Examveda Team)

Let the sum invested at 5% be Rs. x and that invested at 3% be Rs. (9600 - x)
Then, 5% of x = 3% of (9600 - x)
⇒ 5x = 3 (9600 - x)
⇒ 8x = 28800
⇒ x = 3600
Hence, total income :
= 5% of x + 3% of (9600 - x)
= Rs. (5% of 3600 + 3% of 6000)
= Rs. (180 + 180)
= Rs. 360