If the compound interest on a certain sum at `16 2/3`% for 3 years is Rs. 1270. Find the simple interest on the same sum at the same rate and for the same period :
Let the sum be Rs. `x`. Then
C.I. = `[x xx (1 + (50)/(3 xx 100)^3 - x] = ((343x)/(216) - x) = (127x)/(216)`
`:.` ` (127x)/(216) = 1270`
or `x = (1270 xx 216)/(127)`
or `x = 2160`
Thus , he sum is Rs. 2160.
`:.` S.I. = Rs.`(2160 xx 50/3 xx 3 xx 1/100)` = Rs. 1080
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