Mrs Ang sold some cakes in January. In February, she decreased the price of each cake by 20% and sold 40% more cakes than in January. Given that she earned $234 more from the sale of cakes in February than in January, how much money did she earn in February?

Question

Mrs Ang sold some cakes in January. In February, she decreased the price of each cake by  20% and sold  40% more cakes than in January. Given that she earned  $234 more from the sale of cakes in February than in January, how much money did she earn in February?

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Denote Original Price and Sales: Let's denote the original price of each cake in January as P dollars and the number of cakes sold in January as N. Therefore, the total revenue in January is P * N dollars.Price Reduction in February: In February, Mrs. Ang decreased the price of each cake by 20%. The new price of each cake in February is therefore P - 0.20P = 0.80P dollars.Increase in Sales: She sold 40% more cakes in February than in January. This means the number of cakes sold in February is N + 0.40N = 1.40N.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 0.80P * 1.40N.Revenue Difference between January and February: We are given that Mrs. Ang earned $234 more from the sale of cakes in February than in January. This can be expressed as: (0.80P * 1.40N) - (P * N) = $234Simplify Equation: Simplify the equation: 1.12PN - PN = $234 0.12PN = $234Calculate Total Revenue in January: To find the total revenue in February, we need to solve for PN first: PN = $234 / 0.12 PN = $1950Calculate Total Revenue in February: Now that we have the value of PN, 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 = 0.80P * 1.40N Revenue in February = 0.80 * 1.40 * PN Revenue in February = 1.12 * $1950 Revenue in February = $2184

Mrs Ang sold some cakes in January. In February, she decreased the price of each cake by $20 \%$ and sold $40 \%$ more cakes than in January. Given that she earned $\$ 234$ more from the sale of cakes in February than in January, how much money did she earn in February?

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Mrs Ang sold some cakes in January. In February, she decreased the price of each cake by 20% 20 \% 20% and sold 40% 40 \% 40% more cakes than in January. Given that she earned $234 \$ 234 $234 more from the sale of cakes in February than in January, how much money did she earn in February?

Mrs Ang sold some cakes in January. In February, she decreased the price of each cake by $20 \%$ and sold $40 \%$ more cakes than in January. Given that she earned $\$ 234$ more from the sale of cakes in February than in January, how much money did she earn in February?