Out of certain sum 1 3rd is interested at 3 1 6th at 6 and rest at 8 If the simple in...........

Quant (SSC) Simple Interest

Out of certain sum, 1/3^rd is interested at 3%, 1/6^th at 6% and rest at 8%. If the simple interest for 2 years from all these investments amounts to Rs. 600. Find the original sum.

4000

15000

5000

4975

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Explanation:

Rest Part = 1 - 1/3 - 1/6 = 1
= 1 - 1/2 = 1/2
let the sum be x.
600 = (x/3 ) × (3 ×2) /100 + (x/6) × 6 × 2 /100 + (x/2) × 8 × 2 /100
600 = 2x + 2x + 8x /100 = 12x /100 = 600
x = 5000