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Mrs Ang sold some cakes in January. In February, she decreased the price of each cake by and sold more cakes than in January. Given that she earned more from the sale of cakes in February than in January, how much money did she earn in February?
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Q. Mrs Ang sold some cakes in January. In February, she decreased the price of each cake by and sold more cakes than in January. Given that she earned more from the sale of cakes in February than in January, how much money did she earn in February?
- Denote Original Price and Sales: Let's denote the original price of each cake in January as dollars and the number of cakes sold in January as . Therefore, the total revenue in January is dollars.
- Price Reduction in February: In February, Mrs. Ang decreased the price of each cake by . The new price of each cake in February is therefore dollars.
- Increase in Sales: She sold more cakes in February than in January. This means the number of cakes sold in February is .
- Calculate Total Revenue in February: The total revenue in February is the new price per cake times the number of cakes sold in February, which is .
- Revenue Difference between January and February: We are given that Mrs. Ang earned more from the sale of cakes in February than in January. This can be expressed as:
- Simplify Equation: Simplify the equation:
- Calculate Total Revenue in January: To find the total revenue in February, we need to solve for first:
- Calculate Total Revenue in February: Now that we have the value of , we can calculate the total revenue in February by multiplying the new price per cake with the number of cakes sold in February:Revenue in February = Revenue in February = Revenue in February = Revenue in February =
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