The given chart shows the average growth in the height of both boys and girls

Anjali is 10 years old and 130 cm tall, then what will be Anjali's heignt at the end of the growth period? 

A) 154.76cm
B) 153.86 cm
C) 160.76 cm
D) 161. 86 cm

Dear Student,

Please find below the solution to the asked query:

From the given table we get :

At the age of 10 average height of  girls = 84 cm 

And

At the end of growth period ( age 18 years ) average height of  girls = 100 cm 

Then ,

Percentage in change of height of girls in above period of time = $\frac{100 - 84}{84}\times 100 = \frac{{\displaystyle 16}}{{\displaystyle 84}}\times 100= \frac{{\displaystyle 1600}}{{\displaystyle 84}}= 19.0476\approx \mathbf{19}\mathbf{.}\mathbf{05}\mathbf{\%}$

Given : If Anjali is 10 years old and 130 cm tall , Then

Anjali's height at the end of growth period =  130 + 19.05% of 130 = 130 + $\frac{190.5\times 130}{100}=130+\frac{{\displaystyle 2476.5}}{100}=130+ 24.765=154.765\approx \mathbf{154}\mathbf{.}\mathbf{76}\mathbf{ }\mathbf{cm}$
Therefore,

Option ( A )                                                                     ( Ans )

Hope this information will clear your doubts about topic.

If you have any more doubts just ask here on the forum and our experts will try to help you out as soon as possible.

Regards