At a shop, a mobile phone was sold at 40% of a television. Both items were sold at a 20% discount. Janet paid $2016 for both items after the discount. What was the usual price of the television?

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Define Variables: First, let's define the variables: Let T be the usual price of the television. The mobile phone was sold at 40% of the price of the television, so the price of the mobile phone is 0.40T. Both items were sold at a 20% discount. Janet paid $2016 for both items after the discount. We need to find the value of T.Calculate Prices After Discount: Calculate the price of both items after the 20% discount. The discount on the television is 20% of T, which is 0.20T. The discounted price of the television is T - 0.20T = 0.80T. The discount on the mobile phone is 20% of 0.40T, which is 0.08T. The discounted price of the mobile phone is 0.40T - 0.08T = 0.32T.Combine Discounted Prices: Combine the discounted prices of both items to set up the equation based on the total amount paid by Janet. Total cost after discount = Discounted price of television + Discounted price of mobile phone $2016 = 0.80T + 0.32TSimplify Equation: Simplify the equation to solve for T. $2016 = 0.80T + 0.32T $2016 = 1.12TDivide to Find Price: Divide both sides of the equation by 1.12 to find the usual price of the television. T = $2016 / 1.12 T = $1800

At a shop, a mobile phone was sold at $40\%$ of a television. Both items were sold at a $20\%$ discount. Janet paid $\$2016$ for both items after the discount. What was the usual price of the television?

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At a shop, a mobile phone was sold at 40%40\%40% of a television. Both items were sold at a 20%20\%20% discount. Janet paid $2016\$2016$2016 for both items after the discount. What was the usual price of the television?

At a shop, a mobile phone was sold at $40\%$ of a television. Both items were sold at a $20\%$ discount. Janet paid $\$2016$ for both items after the discount. What was the usual price of the television?