*If the compound interest *on a *certain sum *at 16 (2/3)% *to *3 *years is Rs.1270, find the simple interest *on *the same sum *at *the same *rate and *f or the *same period.

1080

1089

2345

1908

A. 1080

Let the sum be Rs. x. Then,

C.I. = [ x * (1 + (( 50/(3*100))^{3} - x ] = ((343x / 216) - x) = 127x / 216

127x /216 = 1270 or x = (1270 * 216) / 127 = 2160.

Thus, the sum is Rs. 2160