A certain sum is lent at x% p.a. simple interest for x/3 years. The simple interest on the sum is equal to one-third of the sum. The value of x is:

10

ATQ,

Simple interest = \(\frac{Principal }{3 }\)

We know ,

Simple Interest = \(\frac{Principal ×Rate × Time }{100}\)

\(\frac{Principal }{3 }\) = \(\frac{Principal × x × x }{100 × 3}\)

( x )² = 100

x = 10%