A sum of 6400 was subdivided into two investments schemes in such a way that one part was lent at 6 ...........

Quant (SSC) Simple Interest

A sum of 6400 was subdivided into two investments schemes in such a way that one part was lent at 6% simple interest and the second part was lent at 9% simple interest. If the interest on the second part after 6 years is equal to interest on the first part after 3 years. What is the first part.

1400

1800

2300

4800

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Explanation:

Let the first part be X then second part would be (6400 – X)
Now, SI on first part after 3 years = SI on second part after 6 years
Using the formulae SI = P × R × T /100
We get,
X × 3 × 6 /100 = (640 – X) × 9 × 6 /100
On simplifying we get,
X = 6400 × 3 – 3X
4X = 6400 × 3
X = 4800