<u>Given:</u>
Real GDP of US = 32000
Growth rate of US = 2%
Real GDP of China = 4000
Growth rate of China = 7%
<u>To find:</u>
Number of years taken for China's real GDP per capita to be larger than real GDP per capita in the United States.
<u>Solution:</u>
The formula to calculate the years is,
![GDP_{US}\times[1+growth_{US}]^n](https://tex.z-dn.net/?f=GDP_%7BUS%7D%5Ctimes%5B1%2Bgrowth_%7BUS%7D%5D%5En%3CGDP_%7BChina%7D%5Ctimes%5B1%2Bgrowth_%7BChina%7D%5D%5En)
On plugging-in the values,

On solving the values we get,

Therefore, we can clearly identify that number of years is greater than 40 and less than 45.
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