Question
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Commission-money that one is paid for every goods sold. 1. Dineo has an account af woolworths. Her account balance is \( R 693 H \) and she needs to pay if off in equal she heeds to pay it off in equal instalnchds. over 8 months. Calculate the cost of each repayment. 2. Buhle sells cops and earns \( 25 \% \) commission on each cap sold. How many caps must she sells to make R800, If the cost of each cap is R80?

Ask by Wang Burgess. in South Africa
Jan 23,2025

Real Tutor Solution

Tutor-Verified Answer

Answer

Dineo needs to pay **R86.63** each month for 8 months to pay off her account. Buhle must sell **40 caps** to earn a commission of R800.

Solution

Sure, let's tackle each problem step by step. --- ### **1. Calculating Dineo's Repayment Installments** **Given:** - **Total Amount to Repay:** R693 - **Number of Installments:** 8 months **Objective:** Determine the amount Dineo needs to pay each month to clear her balance in 8 equal installments. **Calculation:** To find the monthly repayment amount, divide the total amount by the number of installments: \[ \text{Monthly Repayment} = \frac{\text{Total Amount}}{\text{Number of Installments}} = \frac{693}{8} \] \[ \text{Monthly Repayment} = 86.625 \] **Rounded to two decimal places:** \[ \text{Monthly Repayment} = R86.63 \] **Answer:** Dineo needs to pay **R86.63** each month for 8 months to pay off her account. --- ### **2. Determining the Number of Caps Buhle Needs to Sell** **Given:** - **Commission per Cap:** 25% - **Selling Price per Cap:** R80 - **Total Commission Desired:** R800 **Objective:** Find out how many caps Buhle must sell to earn a total commission of R800. **Calculations:** 1. **Calculate Commission per Cap:** \[ \text{Commission per Cap} = 25\% \times \text{Selling Price} = 0.25 \times 80 = R20 \] 2. **Determine Number of Caps to Sell:** \[ \text{Number of Caps} = \frac{\text{Total Commission Desired}}{\text{Commission per Cap}} = \frac{800}{20} = 40 \] **Answer:** Buhle needs to sell **40 caps** to earn a commission of R800. --- Feel free to reach out if you have any more questions!

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To find the cost of each repayment for Dineo, you simply divide her account balance of R693 by the 8 months she plans to pay it off in. So, \( R693 ÷ 8 = R86.625 \). This means Dineo would need to pay approximately R86.63 each month for 8 months to clear her account. For Buhle, she earns 25% commission on each cap sold. The selling price of each cap (R80) means her commission per cap is \( 0.25 × R80 = R20 \). To earn R800 in commission, she must sell \( R800 ÷ R20 = 40 \) caps. That’s quite a hustle, but with those caps flying off the shelves, she’ll reach her goal in no time!

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