A washing machine was sold on hire purchase terms. A deposit of 6000 was paid followed by 12 monthly instalments of 4000. If the hire purchase price was 25% more than the cash price, determine the cash price

Let the cash price of the washing machine be denoted by \( x \).

### Step-by-step approach:
1. **Hire Purchase Price**:
   The hire purchase price is 25% more than the cash price, so it is given by:
   \[
   \text{Hire Purchase Price} = x + 0.25x = 1.25x
   \]

2. **Total Amount Paid in Hire Purchase**:
   A deposit of 6000 was paid, followed by 12 monthly instalments of 4000. Therefore, the total amount paid under the hire purchase is:
   \[
   \text{Total Paid} = 6000 + (12 \times 4000) = 6000 + 48000 = 54000
   \]

3. **Equating the Hire Purchase Price and Total Paid**:
   Since the total amount paid is equal to the hire purchase price:
   \[
   1.25x = 54000
   \]

4. **Solve for the Cash Price**:
   To find the cash price \( x \), divide both sides by 1.25:
   \[
   x = \frac{54000}{1.25} = 43200
   \]

Thus, the cash price of the washing machine is **43200**.

Would you like further details on any step or have any questions?

Here are 5 related questions you could explore:
1. How would the cash price change if the hire purchase price was 30% more than the cash price?
2. What would be the monthly instalment if the cash price was \( x = 50000 \)?
3. How does increasing the deposit affect the overall cost in a hire purchase scheme?
4. What is the difference between hire purchase and paying through loans?
5. If interest is applied to the instalments, how would you calculate the new monthly payments?

**Tip**: Always check the total amount paid in a hire purchase agreement to understand how much extra is being charged compared to the cash price.

A washing machine was sold on hire purchase terms. A deposit of 6000 was paid followed by 12 monthly instalments of 4000. If the hire purchase price was 25% more than the cash price, determine the cash price.

Learn how to calculate the cash price of a washing machine sold under hire purchase terms, with a deposit of 6000 and 12 monthly instalments of 4000. This problem involves basic algebraic calculations, including percentages and linear equations. Suitable for students in Grades 9-10.

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