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1.5 The price of a washing machine after a discount of \( 13 \% \) reduced to R4 699. Calculate the original price of the washing machine. Show ALL calculations. 1.6 Round off 1999,34 to the nearest thousand.

Ask by Murphy Chan. in South Africa
Feb 21,2025

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1.5 The original price of the washing machine was R5,400. 1.6 1,999.34 rounded to the nearest thousand is 2,000.

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Alright, I need to solve two problems here. The first one is about calculating the original price of a washing machine after a discount, and the second one is about rounding a number to the nearest thousand. Let's tackle them one by one. **Problem 1.5:** The price of a washing machine after a discount of 13% is R4,699. I need to find the original price before the discount. Let's denote the original price as \( P \). First, I recall that a discount of 13% means the customer pays 87% of the original price (since 100% - 13% = 87%). So, the equation can be set up as: \[ 0.87P = 4,699 \] To find \( P \), I'll divide both sides of the equation by 0.87: \[ P = \frac{4,699}{0.87} \] Now, let's perform the division: \[ P = 4,699 \div 0.87 \] Calculating this: \[ 4,699 \div 0.87 = 5,400 \] So, the original price of the washing machine was R5,400. **Problem 1.6:** I need to round the number 1,999.34 to the nearest thousand. To do this, I'll look at the digit in the hundreds place, which is 9 in this case. The rule for rounding is: - If the digit in the hundreds place is 5 or greater, I round up the thousands place by 1. - If it's less than 5, I keep the thousands place as it is. Since the hundreds digit is 9, which is greater than 5, I'll round up the thousands place from 1 to 2. Therefore, 1,999.34 rounded to the nearest thousand is 2,000. But wait, let me double-check to ensure I didn't make a mistake. If I consider 1,999.34, it's closer to 2,000 than to 1,000, so rounding up makes sense. Alternatively, if it were 1,499.34, it would round down to 1,000, but since it's 1,999.34, rounding up is correct. Another way to verify is to see that 1,999.34 is just 0.66 away from 2,000 and 999.34 away from 1,000. Clearly, 2,000 is the nearest thousand. **Conclusion:** - The original price of the washing machine was R5,400. - 1,999.34 rounded to the nearest thousand is 2,000.

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To find the original price of the washing machine, we can set up the equation: Let \( P \) be the original price. The price after a 13% discount can be expressed as \( P - 0.13P = 0.87P \). Given that this amount is R4,699, we have: \[ 0.87P = 4699 \] Now, divide both sides by 0.87: \[ P = \frac{4699}{0.87} \approx R5397.70 \] Thus, the original price of the washing machine is approximately R5,397.70. As for rounding off 1999.34 to the nearest thousand, you look at the hundreds place, which is 9. Since it's 500 or above, you round up. This means 1999.34 rounded to the nearest thousand is 2000.

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