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### Question

An amount of Rs. 2143 is split into two parts. The first part is invested @10% for 4 years, and the second @4% for 10 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.

**B**

$1{1/40}$.

**C**

${39/40}$.

**D**

$1{1/20}$.

**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 (4 × 10) : (10 × 4) = 40 : 40, or same as 1. *Please note that the answer is independent of the value of the total amount.*