A bicycle has a cash price of Ksh 18,000. Peter buys it on hire purchase by paying a deposit of Ksh 4,000 and 10 monthly installments of Ksh 1,600 each. How much more did he pay for the bicycle on hir

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14. A bicycle has a cash price of Ksh 18,000. Peter buys it on hire purchase by paying a deposit of Ksh 4,000 and 10 monthly installments of Ksh 1,600 each. How much more did he pay for the bicycle on hire purchase than its cash price?

Step 1: Calculate the total cost of the bicycle on hire purchase.
The deposit is Ksh 4,000.
The total amount paid in installments is the number of installments multiplied by the amount per installment.

$$\text{Total installments} = 10 \times \text{Ksh } 1,600 = \text{Ksh } 16,000$$

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

$$\text{Total hire purchase cost} = \text{Ksh } 4,000 + \text{Ksh } 16,000 = \text{Ksh } 20,000$$

Step 2: Calculate the difference between the hire purchase cost and the cash price.
The cash price is Ksh 18,000.

$$\text{Difference} = \text{Total hire purchase cost} - \text{Cash price}$$ $$\text{Difference} = \text{Ksh } 20,000 - \text{Ksh } 18,000 = \text{Ksh } 2,000$$

Peter paid Ksh 2,000 more for the bicycle on hire purchase.

$$\boxed{\text{Ksh } 2,000}$$

15. Peter is twice as old as his sister, Jane. Let Jane's age be $j$.