Discussion of Question with ID = 032 under Simple-Interest

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