# If 80% of A = 50% of B and B = x% of A, then the value of x is : = ? Please explain the following in Long way and short way.

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Let A be 100

80% of A = 80

∴ 80 = 50% of B

⇒(50/100)×B = 80

⇒B = 160

∴B = x% of A

⇒160 = (x/100)×100

⇒x = 160%

Hence, B is 160% of A

80% of A = 80

∴ 80 = 50% of B

⇒(50/100)×B = 80

⇒B = 160

∴B = x% of A

⇒160 = (x/100)×100

⇒x = 160%

Hence, B is 160% of A