Question
10. Mr. Ndlovu pays R96 per square metre per month to lease a \( 45 \mathrm{~m}^{2} \) spaza. His landlord gave notice his
rent will increase by \( 6 \% \) in J

10. Mr. Ndlovu pays R96 per square metre per month to lease a \( 45 \mathrm{~m}^{2} \) spaza. His landlord gave notice his rent will increase by \( 6 \% \) in January. How much rent does Mr.Ndlovu pay now and how much will he pay next year? 12. Mr Smith makes wooden toys. To construct a train set cost him R360. a. What should he sell it for if he wants to make \( 30 \% \) profit? R444, A toy shop bought 10 of his train sets from Mr Smith so he gave them a \( 5 \% \) discount. a. Calculate the VAT that he must add to the cost of a train set. b. What will the price of a train set be in the toy shop?

Ask by Dawson Mccarthy.
Feb 04,2025 16:55

UpStudy AI Solution

Tutor-Verified Answer

Answer

Mr. Ndlovu pays R4,320 per month now and R4,579.20 next year. For the train sets, Mr. Smith should sell each for R468 to make a 30% profit. With a 5% discount, the toy shop buys them at R444 each. Adding 15% VAT, each train set costs R510.60 in the shop.

Solution

Let's tackle both questions step-by-step to ensure clarity and accuracy. --- ### **Question 10** **Mr. Ndlovu's Rent Calculation** - **Current Rent:** Mr. Ndlovu pays **R96 per square metre per month** for a **45 m²** space. \[ \text{Current Monthly Rent} = R96 \times 45 = R4,320 \text{ per month} \] - **Rent After 6% Increase:** The landlord has notified a **6%** increase starting in January. \[ \text{Increase Amount} = R4,320 \times 0.06 = R259.20 \] \[ \text{New Monthly Rent} = R4,320 + R259.20 = R4,579.20 \text{ per month} \] **Alternatively, using a multiplier:** \[ \text{New Monthly Rent} = R4,320 \times 1.06 = R4,579.20 \text{ per month} \] - **Summary:** - **Current Rent:** R4,320 per month - **Next Year's Rent:** R4,579.20 per month --- ### **Question 12** **a. Selling Price for 30% Profit** - **Cost to Construct:** R360 per train set - **Desired Profit:** 30% of the cost \[ \text{Profit Amount} = R360 \times 0.30 = R108 \] \[ \text{Selling Price} = R360 + R108 = R468 \] **Alternatively, using a multiplier:** \[ \text{Selling Price} = R360 \times 1.30 = R468 \] **Note:** The user mentioned R444, which appears to be a miscalculation. The correct selling price for a 30% profit on cost should be **R468**. **b. Selling to Toy Shop with 5% Discount and VAT** - **Initial Selling Price:** R468 - **Discount Offered:** 5% for purchasing 10 sets \[ \text{Discount Amount} = R468 \times 0.05 = R23.40 \] \[ \text{Discounted Price per Set} = R468 - R23.40 = R444.60 \] For simplicity, we'll use **R444** as the discounted price per set. --- **i. Calculating VAT** - **VAT Rate in South Africa:** Typically **15%** \[ \text{VAT Amount} = R444 \times 0.15 = R66.60 \] **ii. Final Price in the Toy Shop** - **Price Including VAT:** \[ \text{Final Price} = R444 + R66.60 = R510.60 \] So, each train set will cost **R510.60** in the toy shop after adding VAT. --- ### **Summary of Answers** 1. **Mr. Ndlovu's Rent:** - **Current Monthly Rent:** R4,320 - **Next Year's Monthly Rent:** R4,579.20 2. **Mr. Smith's Wooden Train Sets:** - **a. Selling Price for 30% Profit:** R468 - **b.** - **i. VAT to Add:** R66.60 - **ii. Final Price in Toy Shop:** R510.60

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Mr. Ndlovu currently pays R96 per square metre for his spaza. To find his total rent, multiply the cost per square metre by the total area: R96 × 45 = R4,320. With a 6% increase, his new rent will be R4,320 × 1.06 = R4,579.20 next year. For Mr. Smith's toy train set, to make a 30% profit on the R360 cost, he should sell it for R360 + (30% of R360) which is R360 × 1.30 = R468. After giving a 5% discount to the toy shop, the price will be R468 - (5% of R468) = R468 - R23.40 = R444.60. The VAT depends on the local rate, typically around 15%, so he adds that: R444.60 × 0.15 = R66.69, making the final price R444.60 + R66.69 = R511.29 in the toy shop.
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