To solve the given problem, let's follow these steps:
1. Determine the hire purchase price:
- The cash price of the laptop is Sh 60,000.
- The hire purchase price is 115% of the cash price.
- To find the hire purchase price, multiply the cash price by 115% (or 1.15 in decimal form):
[tex]\[
\text{Hire Purchase Price} = 60,000 \times 1.15 = 69,000
\][/tex]
2. Calculate the balance remaining after the deposit:
- Anne paid a deposit of Sh 29,000.
- To find the remaining balance, subtract the deposit from the hire purchase price:
[tex]\[
\text{Balance Remaining} = 69,000 - 29,000 = 40,000
\][/tex]
3. Determine the number of months needed to pay the balance:
- The monthly installment is Sh 5,000.
- To find the number of months needed to pay off the remaining balance, divide the balance by the monthly installment:
[tex]\[
\text{Months Needed} = \frac{40,000}{5,000} = 8
\][/tex]
Therefore, Anne needed 8 months to pay for the laptop.
