Profit and loss, % profit and loss worksheet - Free Printable

Problem Analysis:

The task involves calculating the Profit, Loss, % Profit, and % Loss for a series of transactions based on their Cost Price and Sale Price. The formulas to calculate these values are as follows:

1. Profit = Sale Price - Cost Price
2. Loss = Cost Price - Sale Price
3. % Profit = (Profit / Cost Price) × 100
4. % Loss = (Loss / Cost Price) × 100

If the Sale Price is greater than the Cost Price, it results in a Profit. Otherwise, it results in a Loss.

Solution Approach:

We will calculate each value step by step for all the given transactions.

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#### Section A: Transactions A1 to A5

| Q. | Cost Price | Sale Price | Profit | Loss | % Profit | % Loss |
|----|------------|------------|--------|------|----------|--------|
| A1 | £ 2,000 | £ 2,300 | | | | |
| A2 | £ 2,000 | £ 1,700 | | | | |
| A3 | £ 20,000 | £ 20,300 | | | | |
| A4 | £ 20,000 | £ 17,000 | | | | |
| A5 | £ 1,500 | £ 1,625 | | | | |

##### A1:
- Cost Price = £ 2,000
- Sale Price = £ 2,300
- Profit = £ 2,300 - £ 2,000 = £ 300
- Loss = 0 (since there is no loss)
- % Profit = (Profit / Cost Price) × 100 = (300 / 2,000) × 100 = 15%
- % Loss = 0%

##### A2:
- Cost Price = £ 2,000
- Sale Price = £ 1,700
- Profit = 0 (since there is no profit)
- Loss = £ 2,000 - £ 1,700 = £ 300
- % Profit = 0%
- % Loss = (Loss / Cost Price) × 100 = (300 / 2,000) × 100 = 15%

##### A3:
- Cost Price = £ 20,000
- Sale Price = £ 20,300
- Profit = £ 20,300 - £ 20,000 = £ 300
- Loss = 0 (since there is no loss)
- % Profit = (Profit / Cost Price) × 100 = (300 / 20,000) × 100 = 1.5%
- % Loss = 0%

##### A4:
- Cost Price = £ 20,000
- Sale Price = £ 17,000
- Profit = 0 (since there is no profit)
- Loss = £ 20,000 - £ 17,000 = £ 3,000
- % Profit = 0%
- % Loss = (Loss / Cost Price) × 100 = (3,000 / 20,000) × 100 = 15%

##### A5:
- Cost Price = £ 1,500
- Sale Price = £ 1,625
- Profit = £ 1,625 - £ 1,500 = £ 125
- Loss = 0 (since there is no loss)
- % Profit = (Profit / Cost Price) × 100 = (125 / 1,500) × 100 ≈ 8.33%
- % Loss = 0%

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#### Section B: Transactions B1 to B4

| Q. | Cost Price | Sale Price | Profit | Loss | % Profit | % Loss |
|----|------------|------------|--------|------|----------|--------|
| B1 | £ 1,000 | | £ 50 | | | |
| B2 | £ 1,000 | | | | 15% | |
| B3 | £ 1,000 | | | | 11.37% | |
| B4 | £ 1,000 | | | | | 15% |

##### B1:
- Cost Price = £ 1,000
- Profit = £ 50
- Loss = 0 (since there is no loss)
- Sale Price = Cost Price + Profit = £ 1,000 + £ 50 = £ 1,050
- % Profit = (Profit / Cost Price) × 100 = (50 / 1,000) × 100 = 5%
- % Loss = 0%

##### B2:
- Cost Price = £ 1,000
- % Profit = 15%
- Profit = (Cost Price × % Profit) / 100 = (1,000 × 15) / 100 = £ 150
- Loss = 0 (since there is no loss)
- Sale Price = Cost Price + Profit = £ 1,000 + £ 150 = £ 1,150
- % Loss = 0%

##### B3:
- Cost Price = £ 1,000
- % Profit = 11.37%
- Profit = (Cost Price × % Profit) / 100 = (1,000 × 11.37) / 100 = £ 113.70
- Loss = 0 (since there is no loss)
- Sale Price = Cost Price + Profit = £ 1,000 + £ 113.70 = £ 1,113.70
- % Loss = 0%

##### B4:
- Cost Price = £ 1,000
- % Loss = 15%
- Loss = (Cost Price × % Loss) / 100 = (1,000 × 15) / 100 = £ 150
- Profit = 0 (since there is no profit)
- Sale Price = Cost Price - Loss = £ 1,000 - £ 150 = £ 850
- % Profit = 0%

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Final Answer:

#### Section A:
| Q. | Cost Price | Sale Price | Profit | Loss | % Profit | % Loss |
|----|------------|------------|--------|------|----------|--------|
| A1 | £ 2,000 | £ 2,300 | £ 300 | 0 | 15% | 0% |
| A2 | £ 2,000 | £ 1,700 | 0 | £ 300 | 0% | 15% |
| A3 | £ 20,000 | £ 20,300 | £ 300 | 0 | 1.5% | 0% |
| A4 | £ 20,000 | £ 17,000 | 0 | £ 3,000 | 0% | 15% |
| A5 | £ 1,500 | £ 1,625 | £ 125 | 0 | 8.33% | 0% |

#### Section B:
| Q. | Cost Price | Sale Price | Profit | Loss | % Profit | % Loss |
|----|------------|------------|--------|------|----------|--------|
| B1 | £ 1,000 | £ 1,050 | £ 50 | 0 | 5% | 0% |
| B2 | £ 1,000 | £ 1,150 | £ 150 | 0 | 15% | 0% |
| B3 | £ 1,000 | £ 1,113.70 | £ 113.70 | 0 | 11.37% | 0% |
| B4 | £ 1,000 | £ 850 | 0 | £ 150 | 0% | 15% |

Final Answer:
\boxed{
\begin{array}{|c|c|c|c|c|c|c|}
\hline
\text{Q.} & \text{Cost Price} & \text{Sale Price} & \text{Profit} & \text{Loss} & \text{% Profit} & \text{% Loss} \\
\hline
\text{A1} & £ 2,000 & £ 2,300 & £ 300 & 0 & 15\% & 0\% \\
\text{A2} & £ 2,000 & £ 1,700 & 0 & £ 300 & 0\% & 15\% \\
\text{A3} & £ 20,000 & £ 20,300 & £ 300 & 0 & 1.5\% & 0\% \\
\text{A4} & £ 20,000 & £ 17,000 & 0 & £ 3,000 & 0\% & 15\% \\
\text{A5} & £ 1,500 & £ 1,625 & £ 125 & 0 & 8.33\% & 0\% \\
\hline
\text{B1} & £ 1,000 & £ 1,050 & £ 50 & 0 & 5\% & 0\% \\
\text{B2} & £ 1,000 & £ 1,150 & £ 150 & 0 & 15\% & 0\% \\
\text{B3} & £ 1,000 & £ 1,113.70 & £ 113.70 & 0 & 11.37\% & 0\% \\
\text{B4} & £ 1,000 & £ 850 & 0 & £ 150 & 0\% & 15\% \\
\hline
\end{array}
}