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SOCIAL ARITHMETIC

SOCIAL ARITHMETIC. SMP NEGERI 2 PEKALONGAN. 2011. INTRODUCTION. a. Total Value. INTRODUCTION. b. Value per Unit. Exercise. a. Total Value. INTRODUCTION. To find out the total value, we must know the. value per unit first. Total Value = Number of units x value per unit.

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SOCIAL ARITHMETIC

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  1. SOCIAL ARITHMETIC SMP NEGERI 2 PEKALONGAN 2011

  2. INTRODUCTION a. Total Value INTRODUCTION b. Value per Unit Exercise

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

  4. a. Total Value Solution: INTRODUCTION Given: • Five bunches of spinachs is Rp2,500.00 So, a bunches of spinachs is Rp500.00 a. Total Value • Four bunches of green beans is Rp6,000.00 So, a bunches of green beans is Rp1,500.00 b. Value per Unit • 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 Exercise 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

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

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

  7. Exercise: Alif bought two shirts cost Rp100,000.00. What was the price for five shirts? Pia bought four plate and paid Rp12,000.00. What was the price of a dozen of plates? 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? INTRODUCTION a. Total Value b. Value per Unit Exercise

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

  26. Exercise: PROFIT AND LOSS 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. 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? a. Profit b. Loss c. Profit (%) d. Loss (%) Note Exercise

  27. Exercise: 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? 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. PROFIT AND LOSS a. Profit b. Loss c. Profit (%) d. Loss (%) Note Exercise

  28. DISCOUNT, GROSS, TARE AND NET DISCOUNT, GROSS, TARE, AND NET a. Discount b. Gross, Tare, Net Exercise

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

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

  31. b. Gross, Tare, and Net DISCOUNT, GROSS, TARE AND NET 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. a. Discount Tare = Gross – Net b. Gross, Tare, Net Example: Exercise A sack of potatoes weight 85 kg. If the net weight is 84.6 kg, then calculate gross, net, tare and % tare. Solution

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

  33. Exercise 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? 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? DISCOUNT, GROSS, TARE AND NET a. Discount b. Gross, Tare, Net Exercise

  34. Exercise 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. 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? DISCOUNT, GROSS, TARE AND NET a. Discount b. Gross, Tare, Net Exercise

  35. SAVING INTEREST AND TAX SAVING INTEREST AND TAX a. Saving Interest b. Tax Exercise

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

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

  38. b. Tax SAVING INTEREST AND 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. a. Saving Interest Example: Father has Rp1,200,000.00 as his salary and b. Tax Reduce 14% tax. Determine the father’s Exercise salary after imposed by tax. Solution

  39. b. Tax Solution: SAVING INTEREST AND TAX Given: • The salary = Rp1,200,000.00 • Tax (%) = 14% Tax = 14% X Rp1,200,000.00 a. Saving Interest = Rp168,000.00 b. Tax So, the salary after imposed by tax is: Exercise = Rp1,200,000.00 – Rp168,000.00 = Rp1,032,000.00

  40. Exercise: 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 Antonhave? 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? SAVING INTEREST AND TAX a. Saving Interest b. Tax Exercise

  41. Do the following exercise correctly 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 profit of Rp5,000.00 A loss of Rp5,000.00 A loss of Rp20,000.00 Neither a profit nor a loss EVALUATIONS 1 2 3 4 5 6 7

  42. Do the following exercise correctly 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 profit of 6.67% A loss of 6.67% A loss of 6.25% A profit of 6.25% EVALUATIONS 1 2 3 4 5 6 7

  43. Do the following exercise correctly 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 . . . . Rp8,800.00 Rp9,000.00 Rp10,000.00 Rp11,000.00 EVALUATIONS 1 2 3 4 5 6 7

  44. Do the following exercise correctly 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? Rp960,000.00 Rp1,000,000.00 Rp1,440,000.00 Rp1,500,000.00 EVALUATIONS 1 2 3 4 5 6 7

  45. Do the following exercise correctly 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? 25.00 kg 24.75 kg 24.50 kg 24.00 kg EVALUATIONS 1 2 3 4 5 6 7

  46. Do the following exercise correctly 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? Rp50,000.00 Rp49,500.00 Rp40,500.00 Rp40,000.00 EVALUATIONS 1 2 3 4 5 6 7

  47. Do the following exercise correctly 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? Rp2,550,000.00 Rp2,600.000.00 Rp2,800,000.00 Rp2,900,000.00 EVALUATIONS 1 2 3 4 5 6 7

  48. ...The End...

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