Let the rate be R% p.a. Then,
`[18000(1 + R/100)^2 - 18000] - ((18000 xx R xx 2)/(100)) = 405`
`hArr 18000[((100 +R)^2)/(10000) - 1 - (2R)/(100)] = 405`
`hArr 18000[((100 +R)^2 - 10000 - 200R)/(10000)] = 405`
`hArr 9/5 R^2 = 405`
`hArr R^2 = ((405 xx 5)/(9))`
`hArr R^2 = 225`
`hArr R= 15`
`:.` Rate = 15%
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