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Bogdan [553]
3 years ago
7

What single percentage change is equivalent to a 13% increase followed by a 21% increase?

Mathematics
1 answer:
Tema [17]3 years ago
6 0

Answer:

36.73%

Step-by-step explanation:

Let x = 100

13% increase = 100(1 + 0.13) = 100 + 13 = 113

21% increase = 113(1 + 0.21) = 113 + 23.73 = 136.73

Hence, a single percentage to arrive at 136.73 will be :

x

100(1 + x) = 136.73

100 + 100x = 136.73

100x = 136.73 - 100

100x = 36.73

x = 36.73 / 100

x = 0.3673

0.3673 * 100% = 36.73%

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