1)

Syam took a loan of Rs. 1400 with simple interest for as many years as the rate of interest. If he paid Rs. 864 as interest at the end of the loan period, what was the rate of interest ?


A) 6

B) 8

C) 9

D) 7

E) 10

Answer:

Option A

Explanation:

Let rate $=A%$ and time $=A$ years.

Then, $\left(\frac{(1400\times A\times A)}{100}\right)$ $=864$

$\Rightarrow 14A^{2}$ $=864$ $\Rightarrow A^{2}$ $=36$

$A$ = 6