A sum of ₹ 1521 lent out two parts in such a way that

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A sum of ₹ 1521 lent out two parts in such a way that the interest on one part at 10% for 5 yr is equal to that of another part at 8% for 10 yr. What will be the two parts of sum ?

1. ₹ 926 and ₹ 595
2. ₹ 906 and ₹ 615
3. ₹ 916 and ₹ 605
4. ₹ 936 ₹ 585
5. None of the above

Correct Option: D

Given, T₁ = 5 yr, R₁ = 10% and
T₂ = 10 yr, R₂ = 8%
Let the first part = P
Then, second part = (1521 - P)

Now, according to the question.
[(P x 5 x 10)/100] = [{(1521 - P) x 10 x 8}/100]
⇒ 5P = 12168 - 8P
⇒ 13P = 12168
⇒ P = ₹ 936

So second part = 1521 - 936 = ₹ 585