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5.4.2. Calculate the percentages. Round answer off to one decimal place. a) 15 mm as a percentage of 60 cm . b) 640 ml as a percentage of 2,3 litres. Round answer to 2 decimal places. 5.4.3. To buy a motor car of R375000, Thabo must pay a deposit of R25 250. What percentage of the price is the deposit? Round off the answer to one decimal place. Worksheet 6 6.1. If \( 35 \% \) of a group of 120 learners take mathematics. How many of these learners take mathematics? 6.2. the government is giving a \( 5,4 \% \) salary increase. A teacher's monthly salary is R21 500. Calculate by how much will the teacher's salary increase. 6.3. A salesman gets a commission of \( 3,5 \% \) on the price. of every fridge he sells. What commission will he get if he sells a fridge for R3 599. 6.4. A play station costs R3 500. If you buy it for cash, a \( 10 \% \) discount is offered. How much discount will you receive? 6.5. In the Argus cycle tour, bicycle riders are informed before the race that \( 35 \% \) of the 400 km route is hilly. Calculate how long the hilly route is.

Ask by Boyd Bolton. in South Africa
Feb 11,2025

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5.4.2a) 2.5% 5.4.2b) 27.8% 5.4.3) 6.7% Worksheet 6 6.1) 42 learners 6.2) R1,161 6.3) R126 6.4) R350 discount 6.5) 140 km

Solution

Below are the step‐by‐step solutions: ───────────────────────────── 5.4.2. Calculate the percentages a) Find 15 mm as a percentage of 60 cm.  • First, convert 60 cm to mm (since 1 cm = 10 mm):   60 cm = 60 × 10 = 600 mm.  • Now, calculate the percentage:   (15 mm / 600 mm) × 100 = 2.5%  • Rounded to one decimal place: 2.5% b) Find 640 ml as a percentage of 2.3 litres.  • Convert 2.3 litres to ml (since 1 litre = 1000 ml):   2.3 L = 2.3 × 1000 = 2300 ml  • Now, calculate the percentage:   (640 ml / 2300 ml) × 100 ≈ 27.8261%  • Rounded to two decimal places: 27.83% ───────────────────────────── 5.4.3. Calculate the percentage deposit for a motor car A car costs R375,000 and the deposit is R25,250.  • Calculate: (25,250 / 375,000) × 100 ≈ 6.7333%  • Rounded to one decimal place: 6.7% ───────────────────────────── Worksheet 6 6.1. 35% of 120 learners  • Calculation: 0.35 × 120 = 42  • So, 42 learners take mathematics. 6.2. Teacher’s salary increase of 5.4% on R21,500  • Calculation: 0.054 × 21,500 = 1,161  • The teacher's salary increases by R1,161. 6.3. Salesman's commission of 3.5% on a fridge priced at R3,599  • Calculation: 0.035 × 3,599 ≈ 125.965  • Rounding (if needed; typically to the nearest Rand) gives approximately R126. 6.4. A 10% discount on a PlayStation costing R3,500  • Calculation: 0.10 × 3,500 = 350  • The discount is R350. 6.5. Hilly section of the cycle tour (35% of 400 km)  • Calculation: 0.35 × 400 = 140 km  • The hilly route is 140 km long. ───────────────────────────── Final Answers: 5.4.2a) 2.5% 5.4.2b) 27.83% 5.4.3) 6.7% Worksheet 6 6.1) 42 learners 6.2) R1,161 6.3) Approximately R126 6.4) R350 discount 6.5) 140 km

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To calculate 15 mm as a percentage of 60 cm, first convert 60 cm to mm (60 cm = 600 mm). Then, use the formula: (15 mm / 600 mm) × 100 = 2.5%. Rounded to one decimal place, it's 2.5%. Next, for 640 ml as a percentage of 2.3 liters, convert 2.3 liters to ml (2.3 L = 2300 ml). So, (640 ml / 2300 ml) × 100 = 27.83%, which rounds to 27.83%. For Thabo's deposit, calculate it as a percentage of R375,000: (R25,250 / R375,000) × 100 = 6.73%, rounding this to one decimal place gives 6.7%. In the case of the learners, if \( 35\% \) of 120 learners take mathematics, simply calculate: (35/100) × 120 = 42 learners taking math. For the teacher's salary increase, calculate \( 5.4\% \) of R21,500: (5.4 / 100) × R21,500 = R1,161. The commission on selling a fridge for R3,599 at \( 3.5\% \) is calculated as: (3.5 / 100) × R3,599 = R125.96. When buying a PlayStation for cash at R3,500 with a \( 10\% \) discount, calculate the discount: (10 / 100) × R3,500 = R350. Lastly, for the Argus cycle tour, \( 35\% \) of a 400 km route is: (35 / 100) × 400 km = 140 km of hilly terrain.

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