Question
Which of the following statements is/are true? I. The total demand for Wheat in the given period is grater than the total supply. II. The total supply of rice in the given period is greater than the total demand. III. The total demand for wheat is about 90% of the total demand for rice.
Solution
Correct
option
is I, II
#file_1520337987784 For the given period of 8 years, Demand for wheat = 1852 thousand tonnes Supply of wheat = 1852 thousand tonnes Hence, $I$ is true. Demand for rice = 1687 thousand tonnes Supply of rice = 1718 thousand tonnes Hence, $II$ is true. $ \dfrac{\text{Demand for wheat}}{ \text{Demand for rice}} = \dfrac {1825}{1687} \cong 108 \%$( Infact, it is very evident from figures that the demand for wheat is more.) Hence, III is false.
#file_1520337987784 For the given period of 8 years, Demand for wheat = 1852 thousand tonnes Supply of wheat = 1852 thousand tonnes Hence, $I$ is true. Demand for rice = 1687 thousand tonnes Supply of rice = 1718 thousand tonnes Hence, $II$ is true. $ \dfrac{\text{Demand for wheat}}{ \text{Demand for rice}} = \dfrac {1825}{1687} \cong 108 \%$( Infact, it is very evident from figures that the demand for wheat is more.) Hence, III is false.
Question
What percent of the difference between the total demand and supply or rice forms the corresponding difference for wheat?
Solution
Correct
option
is 115%
#file_1520337999926 Difference between supply and demand of rice $ =31$ thousand tonnes. Similarly, difference between supply and demand of wheat = 27 thousand tonnes. $ \therefore$ Required percentage $ = \dfrac {31}{ 27} \times 100 = 115 \%$
#file_1520337999926 Difference between supply and demand of rice $ =31$ thousand tonnes. Similarly, difference between supply and demand of wheat = 27 thousand tonnes. $ \therefore$ Required percentage $ = \dfrac {31}{ 27} \times 100 = 115 \%$
Question
Whenever there was a deficit, food was imported from other countries. Similarly, whenever there was a surplus, a part of it was exported. If 25% of the wheat deficit was imported from US and 20% of the rice surplus was exported to Russia, what fraction of the imports from US was exported to Russia considering the trade for wheat and rice only?
Solution
Correct
option
is 0.75
#file_1520338027526 There was a deficit of wheat for first 5 years. Total wheat deficit = 97 thousand tonnes. $\therefore$ Wheat imports from Us $ = \dfrac {25}{100} \times 97$ $ = 24.25$ thousand tonnes. Similarly, there was a surplus of rice for last 5 consecutive years. Total rice surplus = 91 thousand tonnes. $\therefore$ Rice exports to Russia $ = \dfrac {20}{100} \times 91 = 18.2$ thousand tonnes. $\therefore$ Fraction of imports from US that was exported to Russia $ = \dfrac {18.2}{24.25} = 0.75$
#file_1520338027526 There was a deficit of wheat for first 5 years. Total wheat deficit = 97 thousand tonnes. $\therefore$ Wheat imports from Us $ = \dfrac {25}{100} \times 97$ $ = 24.25$ thousand tonnes. Similarly, there was a surplus of rice for last 5 consecutive years. Total rice surplus = 91 thousand tonnes. $\therefore$ Rice exports to Russia $ = \dfrac {20}{100} \times 91 = 18.2$ thousand tonnes. $\therefore$ Fraction of imports from US that was exported to Russia $ = \dfrac {18.2}{24.25} = 0.75$
Question
If I pay equal amounts for 1 kg of apples and 1 kg of bananas, I bought them in
Solution
Correct
option
is 1998
In 1998, 1 dozen bananas weight 1 kg and price = price of 1 kg of apples (point of intersection of the two line graphs).
In 1998, 1 dozen bananas weight 1 kg and price = price of 1 kg of apples (point of intersection of the two line graphs).
Question
What percent of the total demand from 1995 to 2000 for Rice forms is the supply of Wheat for the same period?
Solution
Correct
option
is 88%
#file_1520337975691 Total demand for Rice from 1995 -2000 = 1337 thousand tonnes Total supply of Wheat from 1995-2000 = 1515 thousand tonnes $\therefore$ Total demand for Rice as percentage of total Supply of Wheat $ = \dfrac {1337}{1515} \times 100$ $ = 88.25 \% \cong 88\% $
#file_1520337975691 Total demand for Rice from 1995 -2000 = 1337 thousand tonnes Total supply of Wheat from 1995-2000 = 1515 thousand tonnes $\therefore$ Total demand for Rice as percentage of total Supply of Wheat $ = \dfrac {1337}{1515} \times 100$ $ = 88.25 \% \cong 88\% $
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