Topic 4. Relative Ratios

4.1. Fuel company sales volume within city limits is characterized by the following data:

Fuel	Sales volume (tons)
	April	May	June
Petrol	115	150	129
Diesel	189	219	240

The burning energy of petrol (conventional gasoline) is 44.4 GJ/t, diesel (automotive) fuel – 45.4 GJ/t. Recalculate the fuel sales volume into Tons of oil equivalent units (TOE), having the burning energy of 42 GJ. Analyze the changes occurred in the total fuel sales volume.

4.2.The following data characterize a soap factory output in April:

Soap	Output, tonnes
	By plan	By fact
Toilet soap, 80% fatness Laundry soap, 60% fatness Laundry soap, 40% fatness	800 3200 1560	890 2900 1480

Evaluatein per cent the plan fulfillment for the production output: 1) by total volume; 2) using 40% soap conventional units.

4.3. For the reporting period the paper factory has manufactured: 96-sheet copybooks – 15 th.units; 48-sheet copybooks – 45 th.units; 12-sheet copybooks – 90 th.units. Calculate the total output volume using 12-sheet copybooks as conventional units.

4.4. The following data characterize global paper manufacturing for 2007-2010 (1000 metric tons)*:

Paper types	2007	2008	2009	2010
Graphic paper	157 384	151 489	136 385	142 866
Packaging paper	199 224	193 501	190 208	204 469
Others	37 652	45 922	44 094	46 564

* actual data; Verband Deutscher Papierfabriken, August 2012

Choose a type of paper and calculate relative ratios of time with the fixed and the variable base of comparsion. Check calculations by using the connection between the two rows of ratios.

4.5. There are the following data on economy output characteristics in 2008*

Indicators	UK	France	Russia
Electricityconsumption, mln.MW*h/year	344,7	460,9	857,6
Chemical industry output, bln.USD	118,2	138,4	63,0
Crude steel production, mln. tonnes	13,5	17,9	68,5

* actual data; official OECD publications

Calculate the relative indicators of economy development, using the following annual average population data (mln.people): UK – 62.3; France – 65.4; Russia – 143.1.

4.6. The following data are available on manufacturing costs for Russia’s vehicle factories:

Manufacturing costs	Proportion in total expenses, %
Raw Materials	29
Fuel and Electricity	15
Salary	6
Depreciation	12
Other Expenses	38
Total:	100

Calculate the relative ratios of coordination.

4.7. The population size and public sector employed workers is characterized by the following data:

	Base year	Reporting year
Population, thousand people	1159	1215
Public sphere workers, total: (thousand people)	142,6	158,8
including
Health	26,2	38,4
Education	15,7	17,7
Libraries	5,5	6,4
Museums	11,2	11,3

Calculate the relative indicators of intensity, structure and coordination.

4.8. Using relative ratios of comparison, find the relations between securities held values for world’s major depositary banks:

Bank	Securities, bln. USD
State Street Bank	312
Euroclear	1910
Citibank	756
Chase Manhattan	480
Barclays	299
Midland	185