What rate of simple interest is equal to 40% p.a compound interest, compounded every quarter?

TITA type i.e. Type In The Answer type

46.41%

Let the principal be Rs. 100

Rate = 40%p.a.

If the rate of interest is quarterly, then

rate= 40/4 = 10%

Time = 4

A= $100(1+\frac{10}{100})^4$

A=146.41

CI= 146.41-100 =46.41

Simple interest= 46.41/100 *100 = 46.41%