Discussion of Question with ID = 056 under Simple-Interest

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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 × r1 × t1 = y × r2 × t2. We can see that x : y is same as r2t2 : r1t1. 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.


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