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Arjun invests ₹ 20,000 in two parts, one part at 8% per annum and the other at 12% per annum interest. His yearly average interest rate comes out to be 9% per annum . Then which of the following are true ?

A. He invests ₹ 15,000 @ 8% interest

B. He invests ₹ 10,000 @ 12% interest

C. He invests ₹ 6000 @ 8% interest

D. He invests ₹ 5,000 @ 12% interest

Choose the correct answer from the options given below:

Solution

✅ Correct Option: 3

By alligation, the ratio of amounts at 8% and 12% is (12−9):(9−8)=3:1(12-9):(9-8)=3:1.

So ₹ 15,000 is invested at 8% and ₹ 5,000 at 12%.

Hence A and D are true.

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