A person invested a total of Rs. 9,000 in three parts at 3%, 4% and 6% per annum on simple interest. At the end of a year, he received equal interest

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A person invested a total of Rs. 9,000 in three parts at 3%, 4% and 6% per annum on simple interest. At the end of a year, he received equal interest in all the three cases. The amount invested at 6% is:
1. Rs. 2,000
2. Rs. 4,000
3. Rs. 5,000
4. Rs. 3,000

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Correct Answer - Option 1 : Rs. 2,000

Given -

principal = Rs. 9,000

Invested in three parts at 3%, 4% and 6% on simple interest

Formula used -

S.I = (principal × rate × time)/100

Solution -

Let the amount be x, y and z respectively.

⇒ s.i = (x × 3 × 1/100) = (y × 4 × 1/100) = (z × 6 × 1/100)

⇒ x : y : z = (1/3) : (1/4) : (1/6)

⇒ x : y : z = 4 : 3 : 2

⇒ the amount invested at 6% = (2 × 9000/9) = Rs. 2000

∴ amount invested at 6% is Rs, 2.000.

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