A refrigerator can be bought on hire purchase by paying a deposit of 3200 and 5 monthly installments of 1200. The hire purchase price is 15% more than the cash price. What is the cash price of the ref

The monthly installment is $1200 for 5 months.

$$\text{Total installments} = \text{Monthly installment} \times \text{Number of months}$$ $$\text{Total installments} = 1200 \times 5 = 6000$$

The hire purchase price is the sum of the deposit and the total installments.

$$\text{Hire purchase price} = \text{Deposit} + \text{Total installments}$$ $$\text{Hire purchase price} = 3200 + 6000 = 9200$$

The hire purchase price is 15% more than the cash price. This means the hire purchase price is 100% + 15% = 115% of the cash price.
Let $C$ be the cash price.

$$\text{Hire purchase price} = 1.15 \times C$$ $$9200 = 1.15 \times C$$

Divide the hire purchase price by 1.15 to find the cash price.

$$C = \frac{9200}{1.15}$$ $$C = 8000$$

The amount one can pay in cash is $\text{8000}$.