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### Question

An amount of Rs. 1000 is split into two parts. The first part is invested @5% for 6 years, and the second @7% for 8 years. What is the ratio of the first part is to the second part if they yield the same amount of simple interest?

**A**

$1{13/15}$.

**B**

$1{9/10}$.

**C**

$1{5/6}$.

**D**

$1{14/15}$.

**Soln.**

**Ans: a**

Let the amounts be x and y. We have x × r_{1} × t_{1} = y × r_{2} × t_{2}. We can see that x : y is same as r_{2}t_{2} : r_{1}t_{1}. The ratio is (7 × 8) : (5 × 6) = 56 : 30, or same as $1{13/15}$. *Please note that the answer is independent of the value of the total amount.*