1)

A borrows Rs. 800 at the rate of 12% per annum simple interest and B borrows Rs. 910 at the rate of 10% per annum simple interest. In how many years will their amount of debt be equal ?


A) 18

B) 20

C) 22

D) 24

E) 15

Answer:

Option C

Explanation:

Let the period or time be $N$ years

Given, $800+\frac{800\times 12\times N}{100}$ $=910+\frac{910\times 10\times N}{100}$

$800+96N$ $=91N+910$ $\Rightarrow 5N = 110$ $\Rightarrow \frac{110}{5}$ = 22 years.