Discussion of Question with ID = 076 under Simple-Interest

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Question

An amount of Rs. 2143 is split into two parts. The first part is invested @7% for 2 years, and the second @2% for 7 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

$1{1/14}$.

C

${13/14}$.

D

$1{1/7}$.

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 (2 × 7) : (7 × 2) = 14 : 14, or same as 1. Please note that the answer is independent of the value of the total amount.

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