A shop's annual income rose by 20% in one year and then fell by x% in the next, leaving it 8% above where it started. The value of x is:

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Accepted Answer

10. The two changes multiply: 1.20 × (1 − x/100) = 1.08 → 1 − x/100 = 0.90 → x = 10. (Subtracting 20 − 8 to get 12 treats the fall as though it were measured on the original income, but it is taken on the raised income of 120.)

A shop's annual income rose by 20% in one year and then fell by $x$ % in the next, leaving it 8% above where it started. The value of $x$ is:

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