SOCIAL ARITHMETIC

HomeHome

By: Andang Prasetya

SOCIAL ARITHMETIC

SMP NEGERI 2 PEKALONGAN2011

HomeHome

By: Andang Prasetya

INTRODUCTION

a. Total Value

b. Value per Unit

INTRODUCTIONExerci

se

HomeHome

By: Andang Prasetya

INTRODUCTION

a. Total ValueTo find out the total value, we must know thevalue 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• Four bunches of green beans is Rp6,000.00• Five grains of eggs is Rp3,000.00Momo bought three grains of eggs, sevenbunches of green beans, and nine bunch of spinach. How much should Momo paid?

a. Total Value

b. Value per Unit

Exercise

Solution

HomeHome

By: Andang Prasetya

INTRODUCTION

a. Total Value

a. Total Value

b. Value per Unit

Exercise

Solution:Given:• 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

So, a bunches of green beans is Rp1,500.00• Five grains of eggs is Rp3,000.00

So, a grains of eggs is Rp600.00Thus Momo had to pay for three grains of egg sevenbunches of green beans, and nine bunch of spinachs is3 X Rp600.00 + 7 X Rp1,500.00 + 9 X Rp500.00= Rp1,800.00 + Rp10,500.00 + Rp4,500.00= Rp16,800.00

HomeHome

By: Andang Prasetya

INTRODUCTION

b. Value per UnitTo find out the value per unit, we must knowthe total value first.

Value per Unit =total value

Number of Unit

Example:Tangguh bought three pair of shoes at costRp225,000.00 totally. What was the price ofa pair of shoes?

a. Total Value

b. Value per Unit

Exercise

Solution

HomeHome

By: Andang Prasetya

INTRODUCTION

b. Value per Unit

a. Total Value

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

HomeHome

By: Andang Prasetya

INTRODUCTION

Exercise:

a. Total Value

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?

HomeHome

By: Andang Prasetya

PROFIT AND LOSS

a. Profit

b. Loss

c. Profit (%)

d. Loss (%)

PROFIT AND LOSSIn a trade, there are two possible outcomes

a seller may face, i.e.:1. The seller earns a profit, or2. The seller suffers a loss

Note

Exercise

HomeHome

By: Andang Prasetya

PROFIT AND LOSS

a. ProfitIf Selling Price > Buying Price, it’s make profit.

Profit = Selling Price – Buying Price

Example:A tradesman has bought 90 kilogram rice fromfarmer 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 tradesmanearned?

a. Profit

b. Loss

c. Profit (%)

d. Loss (%)

Solution

Note

Exercise

HomeHome

By: Andang Prasetya

PROFIT AND LOSS

a. ProfitSolution:

a. Profit

b. Loss

c. Profit (%)

d. Loss (%)

Note

Exercise

Given:• 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.Total Selling Price = 90 X Rp6,750.00

= Rp607,500.00Selling 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

HomeHome

By: Andang Prasetya

PROFIT AND LOSS

b. Loss

a. Profit

b. Loss

c. Profit (%)

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 ofRp16,999,999.00. Then, he sells the motorcycleat the price of Rp15,750,000.00.What was the amount of loss he made?

Solution

Note

Exercise

HomeHome

By: Andang Prasetya

PROFIT AND LOSS

b. Loss

a. Profit

b. Loss

c. Profit (%)

d. Loss (%)

Solution:

Note

Exercise

Given:• Buying Price Rp16,999,999.00• 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

HomeHome

By: Andang Prasetya

PROFIT AND LOSS

c. Profit Percentages (Profit %)

a. Profit

b. Loss

c. Profit (%)

d. Loss (%)

Profit Percentages = ProfitBuying Price

X 100%

Example:Father bought a motorcycle for Rp5,000,000.00He sold the motorcycle to his friend. The sellingprice of the motorcycle was Rp8,000,000.00.What is the percentages of the profit he made?

Solution

Note

Exercise

HomeHome

By: Andang Prasetya

PROFIT AND LOSS

c. Profit Percentages (Profit %)

a. Profit

b. Loss

c. Profit (%)

d. Loss (%)

Solution:

Note

Exercise


Selling Price > Buying Price (Profit)

Profit = Selling Price – Buying Price= Rp8,000,000.00 – Rp5,000,000.00= Rp3,000,000.00

Profit Percentages = ProfitBuying Price

X 100%

= Rp3,000,000.00Rp5,000,000.00

X 100%

= 60%So, the profit percentage is 60%

HomeHome

By: Andang Prasetya

PROFIT AND LOSS

d. Loss Percentages (Loss %)

a. Profit

b. Loss

c. Profit (%)

d. Loss (%)

Loss Percentages = LossBuying Price

X 100%

Example:A farmer buys a house at the price of 25 millionrupiahs. Then he sells the house at the price of22.5 million rupiahs.What is the percentages of the loss he made?

Solution

Note

Exercise

HomeHome

By: Andang Prasetya

PROFIT AND LOSS

d. Loss Percentages (Loss %)

a. Profit

b. Loss

c. Profit (%)

d. Loss (%)

Solution:

Note

Exercise


Selling Price < Buying Price (Loss)

Loss = Buying Price – Selling Price= Rp25,000,000.00 – Rp22,500,000.00= Rp2,500,000.00

Loss Percentages = LossBuying Price

X 100%

= Rp2,500,000.00Rp25,000,000.00

X 100%

= 10%So, the loss percentage is 10%

HomeHome

By: Andang Prasetya

PROFIT AND LOSS

(i) Note: Selling Price > Buying Price (Profit)

a. Profit

b. Loss

c. Profit (%)

d. Loss (%)

Note

Exercise

Buying Price = 100100 + P

X Selling Price

Selling Price = 100 + P100

X Buying Price

(iI) Note: Selling Price < Buying Price (Loss)

Buying Price = 100100 – L

X Selling Price

Selling Price = 100 – L100

X Buying Price

Profit Percentages = P %Loss Percentages = L %

Example

HomeHome

By: Andang Prasetya

PROFIT AND LOSS

Example 1 :

a. Profit

b. Loss

c. Profit (%)

d. Loss (%)

Note

Exercise

Anita sells her ring at the price of Rp600,000.00.If Anita gets the profit of 20%, then how muchdoes Anita buy that ring?

Solution Example 1

HomeHome

By: Andang Prasetya

PROFIT AND LOSS

Example 1 :

a. Profit

b. Loss

c. Profit (%)

d. Loss (%)

Note

Exercise

Solution:Given:• Selling Price Rp600,000.00• Profit Percentage = 20%, so P = 20 Buying Price = 100

100 + PX Selling Price

= 100120

X Rp600,000.00

= Rp500,000.00So, the buying price is Rp500,000.00

HomeHome

By: Andang Prasetya

PROFIT AND LOSS

Example 2 :

a. Profit

b. Loss

c. Profit (%)

d. Loss (%)

Note

Exercise

Mr. Benny buys a car at the price of 40 millionrupiahs. Then he sells that car and gets the profitof 15%. How much does Mr. Benny sell the car?

Solution Example 2

HomeHome

By: Andang Prasetya

PROFIT AND LOSS

Example 2 :

a. Profit

b. Loss

c. Profit (%)

d. Loss (%)

Note

Exercise

Solution:Given:• Buying Price Rp40,000,000.00• Profit Percentage = 15%, so P = 15 Selling Price = 100 + P

100 X Buying Price

= 115100

X Rp40,000,000.00

= Rp46,000,000.00So, the selling price is Rp46,000,000.00

HomeHome

By: Andang Prasetya

PROFIT AND LOSS

Example 3 :

a. Profit

b. Loss

c. Profit (%)

d. Loss (%)

Note

Exercise

Mrs. Desi buys a TV at the price of Rp800,000.00When Mrs. Desi sells the TV, she suffers the lossof 25%. How much does Mrs. Desi sell the TV?

Solution Example 3

HomeHome

By: Andang Prasetya

PROFIT AND LOSS

Example 3 :

a. Profit

b. Loss

c. Profit (%)

d. Loss (%)

Note

Exercise

Solution:Given:• Buying Price Rp800,000.00• Loss Percentage = 25%, so L = 25 Selling Price = 100 – L

100 X Buying Price

= 75100

X Rp800,000.00

= Rp600,000.00So, the selling price is Rp600,000.00

HomeHome

By: Andang Prasetya

PROFIT AND LOSS

Example 4 :

a. Profit

b. Loss

c. Profit (%)

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

HomeHome

By: Andang Prasetya

PROFIT AND LOSS

Example 4 :

a. Profit

b. Loss

c. Profit (%)

d. Loss (%)

Note

Exercise

Solution:Given:• Selling Price Rp150,000.00• Loss Percentage = 25%, so L = 25 Buying Price = 100

100 – L X Selling Price

= 10075

X Rp150,000.00

= Rp200,000.00So, the buying price is Rp200,000.00

HomeHome

By: Andang Prasetya

PROFIT AND LOSS

Exercise:

a. Profit

b. Loss

c. Profit (%)

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?

HomeHome

By: Andang Prasetya

PROFIT AND LOSS

Exercise:

a. Profit

b. Loss

c. Profit (%)

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.

HomeHome

By: Andang Prasetya

DISCOUNT, GROSS, TARE

AND NET

a. Discount

b. Gross, Tare, Net

DISCOUNT, GROSS, TARE,

AND NETExercise

HomeHome

By: Andang Prasetya


AND NET

a. Discount

a. Discount

b. Gross, Tare, Net

Exercise

Discount is the cut of selling price by someamount. Discount is usually given to buyersby some wholesalers or stores.Example:When a supermarket gives a discount of 15%,Budi buys a rice cooker at the price ofRp420,000.00. How much does Budi pay therice cooker at the cashier?

Solution

HomeHome

By: Andang Prasetya


AND NET

a. Discount

a. Discount

b. Gross, Tare, Net

Exercise

Solution:Given:• The price before discount Rp420,000.00• The discount = 15% X Rp420,000.00

= 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

HomeHome

By: Andang Prasetya


AND NET

b. Gross, Tare, and Net

a. Discount

b. Gross, Tare, Net

Exercise

Net weight is the weight of content without packGross weight is the weight of the pack and itscontents. The difference between gross and net weight is called tare.

Tare = Gross – Net

Example:A sack of potatoes weight 85 kg. If the netweight is 84.6 kg, then calculate gross, net, tareand % tare.

Solution

HomeHome

By: Andang Prasetya


AND NET

b. Gross, Tare, and Net

a. Discount

b. Gross, Tare, Net

Exercise

Solution:Given:• A sack of potatoes weight 85 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 = TareGross

X 100%

= 0.4 kg85 kg

X 100%

= 0.47%

HomeHome

By: Andang Prasetya


AND NET

Exercise

a. Discount

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?

HomeHome

By: Andang Prasetya


AND NET

Exercise

a. Discount

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?

HomeHome

By: Andang Prasetya

SAVING INTEREST AND TAX

a. Saving Interest

b. Tax

SAVING INTEREST AND

TAXExercise

HomeHome

By: Andang Prasetya


a. Saving Interest

a. Saving Interest

b. Tax

Amount of interest after 1 year = interest rate X capital

Amount of interest after n months

= n12

X interest rate X capital

Example:Pandu invested Rp10,000,000.00 to the bank at1.2% interest per year. How much money dueat the end of 10 months does Pandu have?

Solution

Exercise

HomeHome

By: Andang Prasetya


a. Saving Interest

a. Saving Interest

b. Tax

Solution:

Exercise

Given:• Capital = Rp10,000,000.00• Interest = 1.2% per year

• 10 months, so n = 10

The interest for 10 months

= 1012

X 1.2% X Rp10,000,000.00

= Rp100,000.00The amount of saving after Pandu saves for 10 months = Rp10,000,000.00 + Rp100,000.00= Rp10,100,000.00

HomeHome

By: Andang Prasetya


b. Tax

a. Saving Interest

b. Tax

Tax is obligatory cutting for citizen by thecountry. Everything that you can buy in thestores 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 andReduce 14% tax. Determine the father’ssalary after imposed by tax.

Solution

Exercise

HomeHome

By: Andang Prasetya


b. Tax

a. Saving Interest

b. Tax

Solution:

Exercise

Given:• The salary = Rp1,200,000.00• 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

HomeHome

By: Andang Prasetya


Exercise:

a. Saving Interest

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?

HomeHome

By: Andang Prasetya

EVALUATIONSDo the following exercise correctly

1

2

3

4

5

6

7

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 Rp5,000.00b. A loss of Rp5,000.00c. A loss of Rp20,000.00d. Neither a profit nor a loss

HomeHome

By: Andang Prasetya

EVALUATIONSDo the following exercise correctly2. 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%

1

2

3

4

5

6

7

HomeHome

By: Andang Prasetya

EVALUATIONSDo the following exercise correctly3. 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. Rp8,800.00b. Rp9,000.00c. Rp10,000.00d. Rp11,000.00

1

2

3

4

5

6

7

HomeHome

By: Andang Prasetya

EVALUATIONSDo the following exercise correctly4. 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. Rp960,000.00b. Rp1,000,000.00c. Rp1,440,000.00d. Rp1,500,000.00

1

2

3

4

5

6

7

HomeHome

By: Andang Prasetya

EVALUATIONSDo the following exercise correctly5. 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 kgb. 24.75 kgc. 24.50 kgd. 24.00 kg

1

2

3

4

5

6

7

HomeHome

By: Andang Prasetya

EVALUATIONSDo the following exercise correctly6. 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. Rp50,000.00b. Rp49,500.00c. Rp40,500.00d. Rp40,000.00

1

2

3

4

5

6

7

HomeHome

By: Andang Prasetya

EVALUATIONSDo the following exercise correctly7. 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. Rp2,550,000.00b. Rp2,600.000.00c. Rp2,800,000.00d. Rp2,900,000.00

1

2

3

4

5

6

7

Home

...The End...

Documents

SOCIAL ARITHMETIC