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Identify the cost price and profit.

Business/Management

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Answers

2 parts
a

sh. 1450\text{sh. } 1450

b

sh. 550\text{sh. } 550

80∘80^\circ

Step-by-step solution

8 steps

27.

Step 1: Identify the cost price and profit.
Cost Price (CP) = sh. 35000
Profit = sh. 7000

Step 2: Calculate the percentage profit.
The formula for percentage profit is:

Percentage Profit=ProfitCost Price×100%\text{Percentage Profit} = \frac{\text{Profit}}{\text{Cost Price}} \times 100\%

Substitute the given values:

Percentage Profit=700035000×100%\text{Percentage Profit} = \frac{7000}{35000} \times 100\%

Step 3: Simplify the fraction.

Percentage Profit=735×100%\text{Percentage Profit} = \frac{7}{35} \times 100\% Percentage Profit=15×100%\text{Percentage Profit} = \frac{1}{5} \times 100\% Percentage Profit=20%\text{Percentage Profit} = 20\%

The percentage profit made by Mutua is 20%\boxed{20\%}.

28.

Part a· 2 steps

How much did he pay for the items?

  1. Calculate the cost of each item.

    • Cost of sugar: 2 kg×sh. 140/kg=sh. 2802 \text{ kg} \times \text{sh. } 140/\text{kg} = \text{sh. } 280
    • Cost of wheat flour: 1 packet×sh. 170/packet=sh. 1701 \text{ packet} \times \text{sh. } 170/\text{packet} = \text{sh. } 170 (assuming 2.2 kg packet is one unit)
    • Cost of cooking oil: 2 litres×sh. 320/litre=sh. 6402 \text{ litres} \times \text{sh. } 320/\text{litre} = \text{sh. } 640
    • Cost of soap: 3 bars×sh. 120/bar=sh. 3603 \text{ bars} \times \text{sh. } 120/\text{bar} = \text{sh. } 360
  2. Calculate the total cost of all items.

    Total Cost=280+170+640+360\text{Total Cost} = 280 + 170 + 640 + 360 Total Cost=450+640+360\text{Total Cost} = 450 + 640 + 360 Total Cost=1090+360\text{Total Cost} = 1090 + 360 Total Cost=sh. 1450\text{Total Cost} = \text{sh. } 1450

    He paid sh. 1450\boxed{\text{sh. } 1450} for the items.

Part b

sh. 550\text{sh. } 550

If he paid using a two sh. 1000 note. How much balance did he receive?

  1. Calculate the total amount paid.

    Amount Paid = 2×sh. 1000=sh. 20002 \times \text{sh. } 1000 = \text{sh. } 2000

  2. Calculate the balance received.

    Balance = Amount Paid - Total Cost

    Balance=2000−1450\text{Balance} = 2000 - 1450 Balance=sh. 550\text{Balance} = \text{sh. } 550

    He received a balance of sh. 550\boxed{\text{sh. } 550}.

    29.

  3. Identify the relationship between the angles.

    The angles 20∘20^\circ, 80∘80^\circ, and mm are adjacent angles on a straight line.
    The sum of angles on a straight line is 180∘180^\circ.

  4. Set up the equation.

    20∘+80∘+m=180∘20^\circ + 80^\circ + m = 180^\circ
  5. Combine the known angles.

    100∘+m=180∘100^\circ + m = 180^\circ
  6. Solve for mm.

    m=180∘−100∘m = 180^\circ - 100^\circ m=80∘m = 80^\circ

    The value of angle mm is 80∘\boxed{80^\circ}.

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