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The cash price of a bike is 220 USD. The hire purchase price is 300 USD. If the deposit is 10% followed by 10 equal monthly installments, find the amount payable each month.

Sagot :

Sure! Let's break this down step by step.

1. Hire Purchase Price and Deposit Calculation:
- The hire purchase price of the bike is [tex]$300. - The deposit is 10% of the hire purchase price. To find the deposit: \[ \text{Deposit} = 10\% \times 300 = \frac{10}{100} \times 300 = 30 \, \text{USD} \] 2. Remaining Amount to be Paid: - After making the deposit of $[/tex]30, the remaining amount to be paid is:
[tex]\[ \text{Remaining Amount} = \text{Hire Purchase Price} - \text{Deposit} \][/tex]
[tex]\[ \text{Remaining Amount} = 300 \, \text{USD} - 30 \, \text{USD} = 270 \, \text{USD} \][/tex]

3. Monthly Installments:
- The remaining amount is to be paid in 10 equal monthly installments.

To find the monthly installment amount:
[tex]\[ \text{Monthly Installment} = \frac{\text{Remaining Amount}}{10} \][/tex]
[tex]\[ \text{Monthly Installment} = \frac{270 \, \text{USD}}{10} = 27 \, \text{USD} \][/tex]

Therefore, the deposit is [tex]$30, the remaining amount to be paid in installments is $[/tex]270, and the amount payable each month for 10 months is $27.