5. Country Omega grows and consumes only vegetables and fruits. It is known that in 2014, Country Omega produced 1200 tons of vegetables and 750 tons of fruits. In 2015, 900 tons of vegetables and 900 tons of fruits were produced. Over the year, the price of one ton of vegetables increased from 90 to 100 thousand rubles, and the price of one ton of fruits decreased from 75 to 70 thousand rubles. By what percentage did the real GDP of this country change in 2015, if the base year in Omega is 2014? Round the answer to the nearest hundredth. If the real GDP of the country decreased, put a minus sign in the answer, and if it increased, put a plus sign. (12 points).

#
# Solution:

$B B \Pi_{\text{no... } 2014}=1200 * 90+750 * 75=108000+56250=164250$

$B B \Pi_{\text{real. } 2015}=900 * 90+900 * 75=81000+67500=148500$

Then the real GDP of the country decreased by 100(1-148500/164250)=9.59\%.

Answer: $-9.59 \%$.

## Grading Criteria:

1) Correctly calculated nominal (real) GDP in 2014: 3 points. If there is an arithmetic error in calculating the nominal (real) GDP in 2014, 2 points are given.
2) Correctly calculated real GDP in 2015: 4 points. If there is an arithmetic error in calculating the real GDP in 2015, 3 points are given.
3) Correctly calculated the percentage change in real GDP: 5 points. If there is an error in rounding the final answer, 4 points are given.