The cash price of a cupboard is $3 000. An interest of 25% is charged if the cupboard is bought on hire purchase terms. Amina bought the cupboard on hire purchase terms. She paid a deposit and twelve equal installments. Each installment was $ 262.50. How much deposit did she pay?

3,000 * 1.25 = 3,750

262.5 * 12 = 3,150

3,750 - 3,150 = $_________ deposit

To find out how much deposit Amina paid, we need to calculate the total cost of the cupboard on hire purchase terms and subtract the total of the twelve equal installments.

The cash price of the cupboard is $3,000. A 25% interest is charged for buying on hire purchase terms, so the total cost of the cupboard on hire purchase will be:

Total cost = Cash price + (Cash price * Interest rate)
Total cost = $3,000 + ($3,000 * 25/100)
Total cost = $3,000 + $750
Total cost = $3,750

Now, we need to calculate the total of the twelve equal installments that Amina paid:

Total installments = Installment amount * Number of installments
Total installments = $262.50 * 12
Total installments = $3,150

Finally, we can find the deposit Amina paid by subtracting the total installments from the total cost of the cupboard:

Deposit = Total cost - Total installments
Deposit = $3,750 - $3,150
Deposit = $600

Therefore, Amina paid a deposit of $600.