The problem describes a scenario where an electrical shop offers discounts on refrigerators for Hari Raya Aidilfitri. The original prices of two brands, X and Y, are given as RM990 and RM1020, respectively. After the discount, Seroja buys brand X for RM1265, and Kamala buys brand Y for RM1635. The task is to determine who received the higher discount. There seems to be a mistake in the pricing of product X after discount, since it is higher than the original price. I will assume it is a typo and Seroja bought the refrigerator for RM625 after discount.

ArithmeticPercentageDiscountWord Problem
2025/4/10

1. Problem Description

The problem describes a scenario where an electrical shop offers discounts on refrigerators for Hari Raya Aidilfitri. The original prices of two brands, X and Y, are given as RM990 and RM1020, respectively. After the discount, Seroja buys brand X for RM1265, and Kamala buys brand Y for RM
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5. The task is to determine who received the higher discount. There seems to be a mistake in the pricing of product X after discount, since it is higher than the original price. I will assume it is a typo and Seroja bought the refrigerator for RM625 after discount.

2. Solution Steps

First, calculate the discount amount for each person.
Discount Amount = Original Price - Discounted Price
* For Seroja (Brand X):
DiscountX=OriginalPriceXDiscountedPriceX=990625=365Discount_X = OriginalPrice_X - DiscountedPrice_X = 990 - 625 = 365
* For Kamala (Brand Y):
DiscountY=OriginalPriceYDiscountedPriceY=10201635=615Discount_Y = OriginalPrice_Y - DiscountedPrice_Y = 1020 - 1635 = -615
There is clearly a mistake in the numbers provided, since the price after discount is higher than the original price. Since Brand Y has been discounted to RM1635, which is higher than its original price, there is no discount at all. The original problem statement states that Seroja bought the Brand X refrigerator for RM
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5. Since this is also higher than the original price, I'm going to assume there is a typo in the prompt and she buys the brand X for RM625 after discount. To determine who received a higher *percentage* discount, we must calculate the percentage discount.

Percentage Discount = (Discount Amount / Original Price) * 100
* For Seroja (Brand X):
PercentageDiscountX=(DiscountX/OriginalPriceX)100=(365/990)10036.87%PercentageDiscount_X = (Discount_X / OriginalPrice_X) * 100 = (365 / 990) * 100 \approx 36.87\%
* For Kamala (Brand Y):
PercentageDiscountY=(DiscountY/OriginalPriceY)100=(615/1020)10060.29%PercentageDiscount_Y = (Discount_Y / OriginalPrice_Y) * 100 = (-615 / 1020) * 100 \approx -60.29\%
Since Kamala's discount is negative, it is clear that there is a mistake in the problem, so I'm going to assume that Kamala got Brand Y at RM820 and Seroja bought Brand X for RM625 after discount. If this is the case:
DiscountX=990625=365Discount_X = 990 - 625 = 365
DiscountY=1020820=200Discount_Y = 1020 - 820 = 200
PercentageDiscountX=(365/990)10036.87%PercentageDiscount_X = (365 / 990) * 100 \approx 36.87\%
PercentageDiscountY=(200/1020)10019.61%PercentageDiscount_Y = (200 / 1020) * 100 \approx 19.61\%
In this case, Seroja receives a higher discount.
However, using the provided data, let's calculate who received the higher negative discount.
DiscountX=9901265=275Discount_X = 990 - 1265 = -275
DiscountY=10201635=615Discount_Y = 1020 - 1635 = -615
PercentageDiscountX=(275/990)10027.78%PercentageDiscount_X = (-275 / 990) * 100 \approx -27.78\%
PercentageDiscountY=(615/1020)10060.29%PercentageDiscount_Y = (-615 / 1020) * 100 \approx -60.29\%
In this case, Kamala receives a higher *negative* discount.

3. Final Answer

Based on the values provided in the question, where both Seroja and Kamala bought their refrigerators for more than the original price, Kamala received the "higher" discount because the discount amount is more negative. If Seroja bought Brand X for RM625 and Kamala bought Brand Y for RM820, Seroja would have received the higher discount.
Using values provided in the problem, the person who received the higher discount is Kamala.

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