For the last 1∕2 year rate of interest =5% 10% of 12 months So, 5% for 6 months According to the question, 18422.25=x(1+10∕100)2×(1+5∕100) ⇒18422.25=x(1+1∕10)2×(1+1∕20) ⇒18422.25=x(11∕10)2×(21∕20) ⇒18422.25=x×(121∕100)×(21∕20) ⇒18422.25=2541x∕2000 ⇒x=18422.25×2000∕2541 ⇒x=14500 ∴ The value of x is 14500