Out of a certain sum, 1/3rd is invested at 3%, 1/6th at 6% and the rest at 8%. It the simple interest for 2 yr from all these investments amounts to ₹ 600 , find the original sum.?

₹ 5000
₹ 6000
₹ 5500
₹ 6500

Correct Answer: ₹ 5000

Explanation:

Rest part = 1 - (1/3 + 1/6) = 1/2
Average rate per cent annum on the total sum
= [(1/3) x 3] + [(1/6) x 6] + [(1/2) x 8] = 6%
∴ P = (100 x SI)/(R x T) = (100 x 600)/(6 x 2) = ₹ 5000

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