2/3 part of my sum is lent out at 3%, 1/6 part is Lent out at 6% and remaining part is lent out 12% All the three parts are lent out at simple interest. If the annual income is ₹ 25, what is the sum?

₹ 500
₹ 650
₹ 600
₹ 450

Correct Answer: ₹ 500

Explanation:

Let entire sum = P
According to the question,
[(2P/3) x 3%] + [(P/6) x 6%] + [1 - ( 2/3 + 1/6 )] P x 12% = 25
⇒ [(2P/3) x (3/100)] + [(P/6) x (6/100)] + [1 - 4 + 1/6] x (12P/100) = 25
⇒ 2P/100 + P/100 + 2P/100 = 25
⇒ 5P = 2500,
∴ P = 500

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