1/5 part of an amount was given at 3% simple interest, 1/3 part was given at 5% simpleinterest, 2/5 parts at 9% simple interest and remaining part at 11% simple interest. The totalinterest received was Rs.297. How much amount was originally given?
A)4500
B)5500
C)3950
D)4200

Question

Quizplus · Accepted Answer

To find the original amount, let the total amount be x. The interest from each part is calculated as follows:  1/5 of x at 3% for 1 year = (1/5)x * 3/100 = 0.006x  1/3 of x at 5% for 1 year = (1/3)x * 5/100 = 0.0167x  2/5 of x at 9% for 1 year = (2/5)x * 9/100 = 0.036x  Remaining part (1 - 1/5 - 1/3 - 2/5 = 1/15 of x) at 11% for 1 year = (1/15)x * 11/100 = 0.0073x  Total interest = 0.006x + 0.0167x + 0.036x + 0.0073x = 0.066x  Given total interest = Rs.297  0.066x = 297  x = 297 / 0.066 = 4500  Thus, the original amount was Rs.4500.

1/5 Part of an Amount Was Given at 3% Simple