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Home By: Andang Prasetya SOCIALARITHMETIC SMP NEGERI 2 PEKALONGAN 2011.

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Presentation on theme: "Home By: Andang Prasetya SOCIALARITHMETIC SMP NEGERI 2 PEKALONGAN 2011."— Presentation transcript:

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2 Home By: Andang Prasetya SOCIALARITHMETIC SMP NEGERI 2 PEKALONGAN 2011

3 Home By: Andang Prasetya INTRODUCTION a. Total Value a. Total Value b. Value per Unit b. Value per UnitINTRODUCTION Exercise

4 Home By: Andang Prasetya INTRODUCTION a. Total Value To find out the total value, we must know the value per unit first. Total Value = Number of units x value per unit Example: Price list of kitchen needs are given as follows Five bunches of spinachs is Rp2,500.00 Five bunches of spinachs is Rp2,500.00 Four bunches of green beans is Rp6,000.00 Four bunches of green beans is Rp6,000.00 Five grains of eggs is Rp3,000.00 Five grains of eggs is Rp3,000.00 Momo bought three grains of eggs, seven bunches of green beans, and nine bunch of spinach. How much should Momo paid? a. Total Value a. Total Value b. Value per Unit b. Value per Unit Exercise Solution

5 Home By: Andang Prasetya INTRODUCTION a. Total Value a. Total Value a. Total Value b. Value per Unit b. Value per Unit Exercise Solution: Given: Five bunches of spinachs is Rp2,500.00 Five bunches of spinachs is Rp2,500.00 So, a bunches of spinachs is Rp500.00 Four bunches of green beans is Rp6,000.00 Four bunches of green beans is Rp6,000.00 So, a bunches of green beans is Rp1,500.00 Five grains of eggs is Rp3,000.00 Five grains of eggs is Rp3,000.00 So, a grains of eggs is Rp600.00 Thus Momo had to pay for three grains of egg seven bunches of green beans, and nine bunch of spinachs is 3 X Rp600.00 + 7 X Rp1,500.00 + 9 X Rp500.00 = Rp1,800.00 + Rp10,500.00 + Rp4,500.00 = Rp16,800.00

6 Home By: Andang Prasetya INTRODUCTION b. Value per Unit To find out the value per unit, we must know the total value first. Value per Unit = total value Number of Unit Example: Tangguh bought three pair of shoes at cost Rp225,000.00 totally. What was the price of a pair of shoes? a. Total Value a. Total Value b. Value per Unit b. Value per Unit Exercise Solution

7 Home By: Andang Prasetya INTRODUCTION b. Value per Unit a. Total Value a. Total Value b. Value per Unit b. Value per Unit Exercise Solution: Given: Three pair of shoes at cost Rp225,000.00 So, the one pair of shoes at cost = Rp225,000.00 3 = Rp75,000.00

8 Home By: Andang Prasetya INTRODUCTION Exercise: a. Total Value a. Total Value b. Value per Unit b. Value per Unit Exercise 1.Alif bought two shirts cost Rp100,000.00. What was the price for five shirts? 2.Pia bought four plate and paid Rp12,000.00. What was the price of a dozen of plates? 3.Dodo bought 100 kilograms of onions cost RP1,200,000.00. Then he sells it every one kilogram and add Rp500.00 per kilogram as a transport cost. What was the selling price of a kilogram of onion?

9 Home By: Andang Prasetya PROFIT AND LOSS a. Profit a. Profit b. Loss b. Loss c. Profit (%) c. Profit (%) d. Loss (%) d. Loss (%) PROFIT AND LOSS In a trade, there are two possible outcomes a seller may face, i.e.: 1. The seller earns a profit, or 2. The seller suffers a loss Note Exercise

10 Home By: Andang Prasetya PROFIT AND LOSS a. Profit If Selling Price > Buying Price, it’s make profit. Profit = Selling Price – Buying Price Example: A tradesman has bought 90 kilogram rice from farmer in Rp6,500.00 for each kilogram. Then, he sold it in Rp6,750.00 for each kilogram. What was the amount of profit the tradesman earned? a. Profit a. Profit b. Loss b. Loss c. Profit (%) c. Profit (%) d. Loss (%) d. Loss (%) Solution Note Exercise

11 Home By: Andang Prasetya PROFIT AND LOSS a. Profit Solution: a. Profit a. Profit b. Loss b. Loss c. Profit (%) c. Profit (%) d. Loss (%) d. Loss (%) Note Exercise Given: Buying Price Rp6,500.00 for each kilogram. Buying Price Rp6,500.00 for each kilogram. Total Buying Price = 90 X Rp6,500.00 = Rp585,000.00 Selling Price Rp6,750.00 for each kilogram. Selling Price Rp6,750.00 for each kilogram. Total Selling Price = 90 X Rp6,750.00 = Rp607,500.00 Selling Price > Buying Price (Profit) Profit = Selling Price – Buying Price = Rp607,500.00 – Rp585,000.00 = Rp22,500.00 So, the profit is Rp22,500.00

12 Home By: Andang Prasetya PROFIT AND LOSS b. Loss a. Profit a. Profit b. Loss b. Loss c. Profit (%) c. Profit (%) d. Loss (%) d. Loss (%) If Selling Price < Buying Price, it’s make loss. Loss = Buying Price – Selling Price Example: Mr. Raden buys a motorcycle at the price of Rp16,999,999.00. Then, he sells the motorcycle at the price of Rp15,750,000.00. What was the amount of loss he made? Solution Note Exercise

13 Home By: Andang Prasetya PROFIT AND LOSS b. Loss a. Profit a. Profit b. Loss b. Loss c. Profit (%) c. Profit (%) d. Loss (%) d. Loss (%)Solution: Note Exercise Given: Buying Price Rp16,999,999.00 Buying Price Rp16,999,999.00 Selling Price Rp15,750,000.00. Selling Price Rp15,750,000.00. Selling Price < Buying Price (Loss) Loss = Buying Price – Selling Price = Rp16,999,999.00 – Rp15,750,000.00 = Rp1,249,999.00 So, the loss is Rp1,249,999.00

14 Home By: Andang Prasetya PROFIT AND LOSS c. Profit Percentages (Profit %) a. Profit a. Profit b. Loss b. Loss c. Profit (%) c. Profit (%) d. Loss (%) d. Loss (%) Profit Percentages = Profit Buying Price X 100% Example: Father bought a motorcycle for Rp5,000,000.00 He sold the motorcycle to his friend. The selling price of the motorcycle was Rp8,000,000.00. What is the percentages of the profit he made? Solution Note Exercise

15 Home By: Andang Prasetya PROFIT AND LOSS c. Profit Percentages (Profit %) a. Profit a. Profit b. Loss b. Loss c. Profit (%) c. Profit (%) d. Loss (%) d. Loss (%)Solution: Note Exercise Given: Buying Price Rp5,000,000.00 Buying Price Rp5,000,000.00 Selling Price Rp8,000,000.00. Selling Price Rp8,000,000.00. Selling Price > Buying Price (Profit) Profit = Selling Price – Buying Price = Rp8,000,000.00 – Rp5,000,000.00 = Rp3,000,000.00 Profit Percentages = Profit Buying Price X 100% = Rp3,000,000.00 Rp5,000,000.00 = 60% So, the profit percentage is 60%

16 Home By: Andang Prasetya PROFIT AND LOSS d. Loss Percentages (Loss %) a. Profit a. Profit b. Loss b. Loss c. Profit (%) c. Profit (%) d. Loss (%) d. Loss (%) Loss Percentages = Loss Buying Price X 100% Example: A farmer buys a house at the price of 25 million rupiahs. Then he sells the house at the price of 22.5 million rupiahs. What is the percentages of the loss he made? Solution Note Exercise

17 Home By: Andang Prasetya PROFIT AND LOSS d. Loss Percentages (Loss %) a. Profit a. Profit b. Loss b. Loss c. Profit (%) c. Profit (%) d. Loss (%) d. Loss (%)Solution: Note Exercise Given: Buying Price Rp25,000,000.00 Buying Price Rp25,000,000.00 Selling Price Rp22,500,000.00. Selling Price Rp22,500,000.00. Selling Price < Buying Price (Loss) Loss = Buying Price – Selling Price = Rp25,000,000.00 – Rp22,500,000.00 = Rp2,500,000.00 Loss Percentages = Loss Buying Price X 100% = Rp2,500,000.00 Rp25,000,000.00 = 10% So, the loss percentage is 10%

18 Home By: Andang Prasetya PROFIT AND LOSS (i) Note: Selling Price > Buying Price (Profit) a. Profit a. Profit b. Loss b. Loss c. Profit (%) c. Profit (%) d. Loss (%) d. Loss (%) Note Exercise Buying Price = 100 100 + P X Selling Price Selling Price = 100 + P 100 X Buying Price (iI) Note: Selling Price < Buying Price (Loss) Buying Price = 100 100 – L X Selling Price Selling Price = 100 – L 100 X Buying Price Profit Percentages = P % Loss Percentages = L % Example

19 Home By: Andang Prasetya PROFIT AND LOSS Example 1 : a. Profit a. Profit b. Loss b. Loss c. Profit (%) c. Profit (%) d. Loss (%) d. Loss (%) Note Exercise Anita sells her ring at the price of Rp600,000.00. If Anita gets the profit of 20%, then how much does Anita buy that ring? Solution Example 1 Solution Example 1 Solution Example 1 Solution Example 1

20 Home By: Andang Prasetya PROFIT AND LOSS Example 1 : a. Profit a. Profit b. Loss b. Loss c. Profit (%) c. Profit (%) d. Loss (%) d. Loss (%) Note Exercise Solution: Given: Selling Price Rp600,000.00 Selling Price Rp600,000.00 Profit Percentage = 20%, so P = 20 Profit Percentage = 20%, so P = 20 Buying Price = 100 100 + P X Selling Price = 100 120 X Rp600,000.00 = Rp500,000.00 So, the buying price is Rp500,000.00

21 Home By: Andang Prasetya PROFIT AND LOSS Example 2 : a. Profit a. Profit b. Loss b. Loss c. Profit (%) c. Profit (%) d. Loss (%) d. Loss (%) Note Exercise Mr. Benny buys a car at the price of 40 million rupiahs. Then he sells that car and gets the profit of 15%. How much does Mr. Benny sell the car? Solution Example 2 Solution Example 2 Solution Example 2 Solution Example 2

22 Home By: Andang Prasetya PROFIT AND LOSS Example 2 : a. Profit a. Profit b. Loss b. Loss c. Profit (%) c. Profit (%) d. Loss (%) d. Loss (%) Note Exercise Solution: Given: Buying Price Rp40,000,000.00 Buying Price Rp40,000,000.00 Profit Percentage = 15%, so P = 15 Profit Percentage = 15%, so P = 15 Selling Price = 100 + P 100 X Buying Price = 115 100 X Rp40,000,000.00 = Rp46,000,000.00 So, the selling price is Rp46,000,000.00

23 Home By: Andang Prasetya PROFIT AND LOSS Example 3 : a. Profit a. Profit b. Loss b. Loss c. Profit (%) c. Profit (%) d. Loss (%) d. Loss (%) Note Exercise Mrs. Desi buys a TV at the price of Rp800,000.00 When Mrs. Desi sells the TV, she suffers the loss of 25%. How much does Mrs. Desi sell the TV? Solution Example 3 Solution Example 3 Solution Example 3 Solution Example 3

24 Home By: Andang Prasetya PROFIT AND LOSS Example 3 : a. Profit a. Profit b. Loss b. Loss c. Profit (%) c. Profit (%) d. Loss (%) d. Loss (%) Note Exercise Solution: Given: Buying Price Rp800,000.00 Buying Price Rp800,000.00 Loss Percentage = 25%, so L = 25 Loss Percentage = 25%, so L = 25 Selling Price = 100 – L 100 X Buying Price = 75 100 X Rp800,000.00 = Rp600,000.00 So, the selling price is Rp600,000.00

25 Home By: Andang Prasetya PROFIT AND LOSS Example 4 : a. Profit a. Profit b. Loss b. Loss c. Profit (%) c. Profit (%) d. Loss (%) d. Loss (%) Note Exercise When Neti sells her shoes at the price of Rp150,000.00, she suffers the loss of 25%. How much does Neti buy her shoes? Solution Example 4 Solution Example 4 Solution Example 4 Solution Example 4

26 Home By: Andang Prasetya PROFIT AND LOSS Example 4 : a. Profit a. Profit b. Loss b. Loss c. Profit (%) c. Profit (%) d. Loss (%) d. Loss (%) Note Exercise Solution: Given: Selling Price Rp150,000.00 Selling Price Rp150,000.00 Loss Percentage = 25%, so L = 25 Loss Percentage = 25%, so L = 25 Buying Price = 100 100 – L X Selling Price = 100 75 X Rp150,000.00 = Rp200,000.00 So, the buying price is Rp200,000.00

27 Home By: Andang Prasetya PROFIT AND LOSS Exercise: a. Profit a. Profit b. Loss b. Loss c. Profit (%) c. Profit (%) d. Loss (%) d. Loss (%) Note Exercise 1.Mrs. Ani buys 10 scissors at the price of Rp6,000.00 each. Seven scissors are sold at the price of Rp6,500.00 each and the rests are sold at the price of Rp5,500.00 each. Determine the percentage of profit or loss of Mrs. Ani. 2.Mrs. Nunung buys a house at the price of Rp60,000,000.00. When se sells her house, she suffers the loss of 7%. How much does Mrs. Nunung sell her house?

28 Home By: Andang Prasetya PROFIT AND LOSS Exercise: a. Profit a. Profit b. Loss b. Loss c. Profit (%) c. Profit (%) d. Loss (%) d. Loss (%) Note Exercise 3.When Rudi sells his watch at the price of Rp195,000.00, he suffers the loss of 40%. How much does Rudi buy his watch? 4.Hasan buys a house at the price Rp37,000,000.00. Then he spends Rp13,000,000.00 to renovate the house. Find the percentage of profit or loss, if Hasan sells the house at the price of Rp60,000,000.00.

29 Home By: Andang Prasetya DISCOUNT, GROSS, TARE AND NET a. Discount a. Discount b. Gross, Tare, Net b. Gross, Tare, Net DISCOUNT, GROSS, TARE, AND NET Exercise

30 Home By: Andang Prasetya DISCOUNT, GROSS, TARE AND NET a. Discount a. Discount a. Discount b. Gross, Tare, Net b. Gross, Tare, Net Exercise Discount is the cut of selling price by some amount. Discount is usually given to buyers by some wholesalers or stores. Example: When a supermarket gives a discount of 15%, Budi buys a rice cooker at the price of Rp420,000.00. How much does Budi pay the rice cooker at the cashier? Solution

31 Home By: Andang Prasetya DISCOUNT, GROSS, TARE AND NET a. Discount a. Discount a. Discount b. Gross, Tare, Net b. Gross, Tare, Net Exercise Solution: Given: The price before discount Rp420,000.00 The price before discount Rp420,000.00 The discount = 15% X Rp420,000.00 The discount = 15% X Rp420,000.00 = Rp63,000.00 The price after discount = Rp420,000.0 – Rp63,000.00 The price after discount = Rp420,000.0 – Rp63,000.00 = Rp357,000.00 So, the price after discount is Rp357,000.00

32 Home By: Andang Prasetya DISCOUNT, GROSS, TARE AND NET b. Gross, Tare, and Net a. Discount a. Discount b. Gross, Tare, Net b. Gross, Tare, Net Exercise Net weight is the weight of content without pack Gross weight is the weight of the pack and its contents. The difference between gross and net weight is called tare. Tare = Gross – Net Example: A sack of potatoes weight 85 kg. If the net weight is 84.6 kg, then calculate gross, net, tare and % tare. Solution

33 Home By: Andang Prasetya DISCOUNT, GROSS, TARE AND NET b. Gross, Tare, and Net a. Discount a. Discount b. Gross, Tare, Net b. Gross, Tare, Net Exercise Solution: Given: A sack of potatoes weight 85 kg A sack of potatoes weight 85 kg The net weight is 84.6 kg The net weight is 84.6 kg Gross = 85 kg Net = 84.6 kg Tare = Gross – Net = 85 kg – 84.6 kg = 0.4 kg % Tare = Tare Gross X 100% = 0.4 kg 85 kg X 100% = 0.47%

34 Home By: Andang Prasetya DISCOUNT, GROSS, TARE AND NET Exercise a. Discount a. Discount b. Gross, Tare, Net b. Gross, Tare, Net Exercise 1.When a shopping centre gives a discount of 18%. Elvy buys a hair dryer at the price Rp80,000.00. How much does Elvy pay the hair dryer at the cashier? 2.Cachi had a can of biscuit which is written on the can, net for 640 gr. After view time, the can of biscuit was empty. Weight of the empty can is 160 gr. How much the percentage of tare for that can of biscuit?

35 Home By: Andang Prasetya DISCOUNT, GROSS, TARE AND NET Exercise a. Discount a. Discount b. Gross, Tare, Net b. Gross, Tare, Net Exercise 3.The price of 1 box of orange is Rp90,000.00 with a 10% discount. The overall weight is 20 kg with a 2 kg tare. If the seller wants a 20% profit, how much the selling price of the oranges per kg. 4.The price of two sacks of hulled rice is Rp400,000.00. The weight of each sack is 100 kg with tare 2%. The a trader sells the hulled rice with the price of Rp2,500.00 each kg. What does the trader make? Profit or loss? How much does the trader make?

36 Home By: Andang Prasetya SAVING INTEREST AND TAX a. Saving Interest a. Saving Interest b. Tax b. Tax SAVING INTEREST AND TAX Exercise

37 Home By: Andang Prasetya SAVING INTEREST AND TAX a. Saving Interest a. Saving Interest a. Saving Interest b. Tax b. Tax Amount of interest after 1 year = interest rate X capital Amount of interest after n months = n 12 X interest rate X capital Example: Pandu invested Rp10,000,000.00 to the bank at 1.2% interest per year. How much money due at the end of 10 months does Pandu have? Solution Exercise

38 Home By: Andang Prasetya SAVING INTEREST AND TAX a. Saving Interest a. Saving Interest a. Saving Interest b. Tax b. TaxSolution: Exercise Given: Capital = Rp10,000,000.00 Capital = Rp10,000,000.00 Interest = 1.2% per year Interest = 1.2% per year 10 months, so n = 10 10 months, so n = 10 The interest for 10 months = 10 12 X 1.2% X Rp10,000,000.00 = Rp100,000.00 The amount of saving after Pandu saves for 10 months = Rp10,000,000.00 + Rp100,000.00 = Rp10,100,000.00

39 Home By: Andang Prasetya SAVING INTEREST AND TAX b. Tax a. Saving Interest a. Saving Interest b. Tax b. Tax Tax is obligatory cutting for citizen by the country. Everything that you can buy in the stores is imposed by tax. Tax is expressed in percentage, for exmple 10% from the price. Example: Father has Rp1,200,000.00 as his salary and Reduce 14% tax. Determine the father’s salary after imposed by tax. Solution Exercise

40 Home By: Andang Prasetya SAVING INTEREST AND TAX b. Tax a. Saving Interest a. Saving Interest b. Tax b. TaxSolution: Exercise Given: The salary = Rp1,200,000.00 The salary = Rp1,200,000.00 Tax (%) = 14% Tax (%) = 14% Tax = 14% X Rp1,200,000.00 = Rp168,000.00 So, the salary after imposed by tax is: = Rp1,200,000.00 – Rp168,000.00 = Rp1,032,000.00

41 Home By: Andang Prasetya SAVING INTEREST AND TAX Exercise: a. Saving Interest a. Saving Interest b. Tax b. Tax Exercise 1.Anton save Rp2,000,000.00 in a bank at 12% interest per year. How much money due at the end of 20 months does Anton have? 2.Bonbon bought a TV set for Rp3,800,000.00 and he was charged a 10% value added tax (VAT). Since the purchase was made in cash, he got a 5% discount. Determine the amount of money Bonbon must pay?

42 Home By: Andang Prasetya EVALUATIONS Do the following exercise correctly 1111 2222 3333 4444 5555 6666 7777 1.A trader bought 2 boxes of books for Rp45,000.00. Each box contains 10 books. If the selling price of each book is Rp2,500.00, trader makes.... a.A profit of Rp5,000.00 b.A loss of Rp5,000.00 c.A loss of Rp20,000.00 d.Neither a profit nor a loss

43 Home By: Andang Prasetya EVALUATIONS Do the following exercise correctly 2.Father bought a motorcycle for Rp7,500,00.00. He sold the motorcycle to his friend. The selling price of the motorcycle was Rp8,000,000.00. What is the percentage of the profit or loss he made? a.A profit of 6.67% b.A loss of 6.67% c.A loss of 6.25% d.A profit of 6.25% 1111 2222 3333 4444 5555 6666 7777

44 Home By: Andang Prasetya EVALUATIONS Do the following exercise correctly 3.Miss Vivi bought 25 kg of oranges for Rp200,000.00. However, during the selling activity, she found 5 kg of the oranges damage. She wants to make a profit of 10%. So, the selling price of the oranges per kg will be.... a.Rp8,800.00 b.Rp9,000.00 c.Rp10,000.00 d.Rp11,000.00 1111 2222 3333 4444 5555 6666 7777

45 Home By: Andang Prasetya EVALUATIONS Do the following exercise correctly 4.A television was sold for Rp1,200,000.00. If the trader made a loss of 20%, what was the buying price of the television? a.Rp960,000.00 b.Rp1,000,000.00 c.Rp1,440,000.00 d.Rp1,500,000.00 1111 2222 3333 4444 5555 6666 7777

46 Home By: Andang Prasetya EVALUATIONS Do the following exercise correctly 5.The gross weight of 8 boxes of sugar is 200 kg and its tare is 2%. What is the net weight of each box of sugar? a.25.00 kg b.24.75 kg c.24.50 kg d.24.00 kg 1111 2222 3333 4444 5555 6666 7777

47 Home By: Andang Prasetya EVALUATIONS Do the following exercise correctly 6.A shop gives a discount 10%. After the discount, the price of a T-shirt is Rp45,000.00. What is the price of T-shirt before the discount? a.Rp50,000.00 b.Rp49,500.00 c.Rp40,500.00 d.Rp40,000.00 1111 2222 3333 4444 5555 6666 7777

48 Home By: Andang Prasetya EVALUATIONS Do the following exercise correctly 7.Mr. Jhon saves Rp2,500,000.00 at a bank. The bank gives an interest rate of 16% per year. After 3 months, how much money does Mr. Jhon save? a.Rp2,550,000.00 b.Rp2,600.000.00 c.Rp2,800,000.00 d.Rp2,900,000.00 1111 2222 3333 4444 5555 6666 7777

49 Home...The End...


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