A certain sum is lent at x% p.a. simple interest for $$\frac{x}{3}$$ years. The simple interest on the sum is equal to one-third of the sum. The value of x is:
P =Â principal amount
R = rate of interest
T = time
The simple interest on the sum is equal to one-third of the sum.
Let's assume the initial sum is 'y'.
simple interest =Â $$\frac{y}{3}$$
simple interest =Â $$\frac{P\times\ R\times\ T}{100}$$
$$\frac{y}{3}=\frac{y\times\ x\times\ x}{100\times\ 3}$$
$$\frac{1}{3}=\frac{\ x\times\ x}{100\times\ 3}$$
$$1=\frac{\ x\times\ x}{100}$$
$$x^2=10^2$$
value of x = 10
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