Intellectual greetings. Well this time I post material on Arithmetic Mathematics social and comparison. Obviously you want to know what is the purpose of the social arithmetic and comparisons. Well the answer is here, please read and understand the following explanation:
A bookstore owner to sell at a price Rp.8.400,00 pencil box. Apparently, in the box there are 12 pieces of a pencil. Someone buys a pencil and shop owners sell to Rp.700,00. In this case, the price of a box of pencils = Rp.8.400,00 called overall value, while the price of fruit = pencils Rp.700,00 called value per unit.
Problems example :
A fruit trader bought 10 apples. He paid with a hundred thousand pieces of money and got my change of Rp. 60,000.00.
A. Determining the purchase price!
b. Determines the purchase of every fruit!
c. If the trader simply bought 8 apples, how much he has to pay?
Completion:
A. The purchase price = 1 x Rp. 100.000,00  Rp. 60,000.00 = Rp. 100.000,00  Rp. 60,000.00 = Rp. 40.000,00
Thus, the entire purchase price is Rp. 40.000,00
b. Apples Price per piece =
= Rp. 4000.00 Thus, the price of each fruit Ape is Rp. 4.000,00
c. Price 8 pieces = 8 x Rp. 4000.000 = Rp. 32000.00 Thus, the price of apples is $ 8. 32000.00
Pak Iman buy a refrigerator with a price of Rp. 1,250,000.00. A month later refrigerators were sold at a price of Rp. 1,400,000.00. In this case, Mr. Faith suffered a profit of Rp. 150.000,00. If Mr. Iman only able to sell at a price of Rp. 1,050,000.00, says Mr Faith suffered a loss of Rp. 200,000.00. From the description above can be summarized as follows:
A. The purchase price is barabg factory price, wholesale, or other place. The purchase price is often called the capital.
b. The selling price is the price set by traders of goods to the buyer. Profit or gain is the difference between the selling price and the purchase price if the sale price is more than the purchase price.
Profit = selling price  purchase price
c. Loss is the difference between the selling price and the purchase price if the sale price is less than the purchase price.
Loss = purchase price  selling price
Example question: A trader bought oranges as much as 40 kg at a price of Rp. 8000.00 per kg. then 30 kg is sold is sold at Rp. 10,000.00 per kg. and the rest is sold for Rp. 6000.00 per kg.
Calculate:
A. The purchase price
b. Sale price
c. The amount of gain or loss from the sale.
Completion:
A. The purchase price = 40 x Rp. 8000.00 = Rp. 320,000.00
Thus, the purchase price of oranges is Rp. 320,000.00
b. Sale price
= (30 x Rp. 10.000,00) + (10 x Rp. 6000.00)
= Rp. 300,000.00 + Rp. 60,000.00
= Rp 360,000.00
c. Because the sales price is more than the purchase price.
Fortunately = Rp. 360,000.00  Rp. 320,000.00 = Rp. 40.000,00
Thus, the amount of profit earned Yag merchant is Rp. 40.000,00
A. Determining the percentage of income
Percent means per hundred. Percent written in% p real numbers form p.
In trading, gains or losses on the purchase price is usually expressed as a percent.
Percentage profit = x 100%
Percentage loss = x 100%
Problems example :
A goods purchased at a price of Rp. 2000.00 and is sold Rp. 2500.00. Fortunately stated as a percentage of:
Completion:
Profit of Rp. 2500.00  Rp. 2,000.00 = Rp. 500.00
A. Profit as a percentage of the purchase price = = 25%
b. Profit as a percentage of the selling price = = 20%
b. Determine the selling price and the purchase price if the percentage gain or loss is unknown
Given the percentage of increase or decrease is known, we can calculate the purchase price or selling price.
You already know that penjulan profit = price  the purchase price, then
1) The selling price = purchase price + profit
2) purchase price = sales price  earnings
You also know that a loss = the purchase price  selling price, then
1) The selling price = purchase price  loss
2) The purchase price = price penjulan + losses.
Problems example :
A trader sells goods at a price of Rp. 220,000.00 and profits of 10% of the purchase price. Determining the purchase price of goods.
Completion:
The selling price = purchase price + profit
Rp. 220,000.00 = purchase price + 10% = 100% of the purchase price of the purchase price of the purchase price + 5% = (100% + 10%) purchase price = purchase price x
Purchase price = USD. 220,000.00: = Rp. 220,000.00 x = Rp. 200,000.00
B. RABAT (discount), DIRTY, TARA AND OPEN
1. Rabat (Sale)
Rabat mean discounts or better known as discount. There is a difference between the terms used rebates and discounts. Rabat term used by manufacturers to wholesalers, agents or retailers. Whereas the prices used by the wholesaler, dealer or retailer to consumer.
A buy clothes in Ramayana Rp. 120,000.00. In the Ramayana gives a 25% discount for every purchase. How much money you have to pay?
Completion:
Purchase price = USD. 120,000.00
25% discount = x Rp. 120,000.00 = Rp. 30.000,00
The money must be paid = Rp. 120.000,00  Rp. 30.000,00 = Rp. 90.000,00
So, the money he had to pay Rp. 90.000,00
From the description above can be summarized as follows
Clean price = dirty price  rebate (discount)
Where: * the gross price is the price of goods before being cut rebate (discount)
* Net price is the price of goods after the cut rebate (discount)
2. Broto, Tara, and Neto
Term gross, tare, and net weight problems often encountered in goods. In real life  the gross weight is defined as gross, net is the net weight, and tare is the difference between gross and net.
Gross = net + tare
Net = gross  tare
Tara = nruto  net
If known percent tare and gross, tare you can search by the following formula
Tara tara x = percent gross
To determine the net price after receiving piece weight (tare) can be formulated as follows.
X net price = net price / unit weight
Problems example :
Sister buy 8 cans of milk. In any written 1 kg tin. Has weighed it turns the whole weight of 10 kg of milk cans. what is gross and tare each tin?
Completion:
Gross any cans = 10 kg: 8 = 1.25 kg
Tara every tin = 1.25 kg  1 kg = 0.25 kg
If we keep money in the bank, then we would get extra money called interest. The saving rate is calculated based on the value per cent. The saving rate is often calculated. There are two types of savings interest, namely a single interest and compound interest. Single flower is a flower that is calculated based only on the amount of capital only, whereas mejemuk interest is the interest calculated based on the amount of capital and interest.
Problems example :
Heny keep money in the bank amounting to Rp. 4,000,000.00 with interest rate of 18% per year with a single flower. Set:
A. The amount of interest at the end of the first month
b. The amount of interest at the end of the sixth month
c.Jumlah money after two years
Completion:
Capital = Rp. 4,000,000.00; rate = 18% per year.
A. Flower end of the first month
= X x Rp.4.000.000,00
= Rp. 60,000.00
b. Flower end of the sixth month
= X x Rp. 4,000,000.00
= Rp. 360,000.00
c. Flowers 2 years = 2 x x Rp 4,000,000.00
= Rp. The amount of money entirely 1,440,000.00
\ = Rp. 4,000,000.00 + Rp. 1440000.00 = Rp. 5,440,000.00
Thus, the amount of money after two years is Rp. 5,440,000.00
2. Tax
Tax is an obligation imposed on the people to give some of the wealth to the state in accordance with the rules  rules that have been set by the government. So taxes are binding and force.
Type  the type of tax, among other things, land and building tax (PBB), Value Added Tax (VAT), and Penghasialn Tax (VAT).
Problems example :
Pak Udin paid Rp. 1,550,000.00 months without taxable income of Rp. 580,000.00. If the income tax (VAT) of 10% is unknown. What is the salary received by Mr Udin per month?
Completion:
Salary = Rp. 1,550,000.00
Taxable income = Rp. 580,000.00
Income Tax = 10%
Large taxable income
= Rp. 1,550,000.00  Rp. 580,000.00
= Rp. 970,000.00
Income tax charge = 10% x Rp. Pengasilan taxable = x Rp. 970,000.00 = Rp. 97000.00
Salary received = Rp. 1,550,000.00  Rp.97.000,00 = Rp. 1,453,000.00
So a big salary received Mr. Udin per month is Rp. 1,453,000.00
D. COMPARISON
1. Definition Comparison
Cascade weight 24 kg, while the Yoga 30 kg weight. Yoga weight ratio cascade and can be expressed in two ways:
A. Riam weight less than the weight of Yoga. In this case, comparison of the difference in weight.
b. Cascade weight: weight loss Yoga = 24: 30 = 4: 5. In this case, the comparison is the result for weight loss and weight cascade of Yoga.
Based on these descriptions can be summarized as follows.
There are two ways to compare two quantities as follows.
A. By looking for differences
b. By searching quotient
2. Simplify
Consider the following description.
A table measuring 150 cm and a width of 100cm. Comparison of length and width of the table can be done in two ways, namely by finding the difference between 150 cm  100 cm = 50 cm, or can seek its results, namely 150: 100 = 3: 2.
The length and width of the table are two equal, because it has the same units, namely cm. However, the length of the table and a large table are two values are not the same, because they have different units so it can not be compared. In this case we will compare the two as great as looking quotient.
Problems example:
Perbandinagan stated as follows in its simplest form.
A. 2: 4
b. 400 cm3 1 l
Completion:
A. 2: 4 =: = = 10: 5 = 2: 1
b. 400 cm3: 1 l = 400 cm3 (1 x 1,000) = 400 cm3: 1000 = 4: 10 = 2: 5
E. DRAWING SCALE
Scale 1: 100
Scale is the ratio between the size of the house in the picture to the size of the actual house. Look at the picture.
Image shows a home with a scale of 1: 100 Scale 1: 100, meaning that every distance of 1 cm on the image (model) representing the actual distance of 100 cm. If the width of the house in Figure 7 cm, then the width of the actual house is 7 x 100 cm = 700 cm = 7 m.
From the above description dpat summarized as follows.
Scale is the ratio between the distance on the image with the actual distance.
Scale =
In general, scale 1: p means any distance of 1 cm on the image (model) representing the actual distance p cm.
Problems example :
Map of known scale of 1: 1,200,000. city to Z distance C on the map 9 cm, determine the actual distance of the town C to town Z.
Completion:
Scale = 1: 1,200,000
The distance on the map = 9 cm
Scale =
=
The actual distance = 9 cm x 1.2 million = 10.8 million cm = 108 km
Thus, the actual distance from town A to town B is 108 km.
The scale of the map that you often encounter shows the scale of downsizing. That is, the size of the map is smaller than actual size. It is called the scale factor. Scale factors can be enlarged and downsizing. Photos of the object instance. In the picture looks similar form between the photo and the real object. Photos can be enlarged or reduced. In the picture beskala always apply.
A. Changing the size but does not change the shape
b. The size can be enlarged or reduced
Problems example :
A photograph measuring 3 cm wide and 5 cm in height will be made frame with a width of 9 cm. determine the scale factor and high picture frame.
Completion:
The scale factor = 3 cm: 9 = 1: 2
Action in accordance with the size of the photo frame, so it can be written the following comparison.
=
⟺ =
⟺ x =
⟺ x = 24 cm
Frame so high = 24 cm
In general there are two comparison, the ratio of valued and turned the comparison value.
1. Comparison Worth (Worth)
Have you ever bought a book in a bookstore?
You can buy a number of books in accordance with the amount of money you have. If the price of 1 book Rp. 6500.00 then the price of 4 books = 4 x Rp. 6500.00 = Rp. 26000.00
More and more books are purchased, the price paid. Comparisons like this are called comparative worth. In a decent comparison, the value of goods will rise / fall in line with the value of the goods being compared.
Example question: A car requires 4 liters of petrol for a distance of 36 km. What if the distance cars spend 34 liters of petrol?
Completion:
4 liters of gasoline menepuh distance of 36 km, so that 1 liter of petrol distance = km
= 9 km. Money The distance can be achieved with 34 liters of gasoline = 36 x 9 km = 324 km. Thus, the distance that can be reached with 34 liters of petrol is 324 km From comtoh above, if the amount of gasoline improve mileage also increased and the settlements called the comparison calculation valued by calculating the value of the unit.
2. Comparison Turned Value (Price Change)
You have learned that the value of the comparison, the value of goods will rise / fall in line with the value of the goods being compared. At the turn ratio value, it works in reverse.
A farmer has a supply of food for 50 cows for 9 days. If farmers sell 5 cows, how many days it will run out of food supplies?
Completion: 45 cows for 9 days and (505) = 45
Many Cows (Tail
Many Today
Banyak Sapi (Ekor

Banyak Hari

50

9

45

x

X = x9 = 10
So, for 45 head of cattle, food supplies will run out for 10 days
Based on the above example, the fewer the number of cattle, the longer the food supply will run out. Comparison between many cows with long days depleted food supply is turned on value comparison.
Thus, the ratio of the value behind the case are valid, if the value of a good increases, the value of the goods being compared will be down, and vice versa.
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