What is the height of a 12 year old boy

Asked by admin @ 22/11/2021 in Mathematics viewed by 297 People

The height of a 12-year-old boy increased by 17% last year and by 12% this year. What is the total increase in percent terms?

Answered by admin @ 22/11/2021

Answer:

Total increase in height is 31.04 %

Step-by-step explanation:Let initial height be x.

Height increased last year= 17% of x = 0.17x

so last year height = x +0.17x = 1.17x

Height increased this year = 12%

so increase in this year height = 12% of 1.17x = (0.12)(1.17x)

= 0.1404x

Height of this year = 0.1404x +1.17x = 1.3104x

total increase = 1.3104x - x = 0.3104x

% increase = $\frac{increase }{initial} (100)$

= $\frac{0.3104x}{x} (100)$

= 31.04

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