12000 is divided into two amounts such that the simple interest on the first amount for 3 years at t...........

Quant (SSC) Simple Interest

12000 is divided into two amounts such that the simple interest on the first amount for 3 years at the rate 4% is equal to the simple interest on the second amount for 4 year at the rate 1%. What are the amounts?

4000, 8000

6000, 6000

3000, 9000

5000, 7000

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Explanation:

Let the amounts be x and 12000 – x
Simple interest in 3 years at rate for 4% will be 12%
Similarly, at the rate of 1% it will be 4% in 4 years
Since the interests earned are equal, we can write the equation as:
12% of x = 4% of (12000 – x)
Solving the above equation we get, x = 3000
So, the amounts are 3000 and (12000 – 3000) = 9000