Unknown number 10

The number first increased by 30%, then by 1/5. What percentage we've increased the original number?

Correct answer:

p =  56 %

Step-by-step explanation:

r1​=100%+30%=1+10030​=1.3 r2​=1+1/5=56​=1.2  r=r1​⋅ r2​=1.3⋅ 1.2=2539​=1.56  b = a ⋅  r  p = 100 ⋅  ab−a​ p = 100 ⋅  aa⋅ r−a​ p = 100 ⋅  1r−1​ p=100⋅ (r−1)=100⋅ (1.56−1)=56%

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