Question

Dexter found a pair of jeans on sale for 40% off. When he brought it to the register, he discovered that all the store items were on sale for an additional 10% off. He wrote this expression to represent the final cost of the jeans based on the original price, J. (1−0.40)(1−0.10)J When Dexter simplifies this expression, what can he conclude about the sale price of the jeans?

Answer 1

Given :- Dexter found a pair of jeans on sale for 40% off. When he brought it to the register, he discovered that all the store items were on sale for an additional 10% off. He wrote this expression to represent the final cost of the jeans based on the original price, J. (1−0.40)(1−0.10)J When Dexter simplifies this expression, what can he conclude about the sale price of the jeans ?

Solution :-

→ Original price of Jeans = J

→ Discount = 40% .

so,

→ Price after first discount = J*(100 - 40)/100 = J(1 - 0.40)

now,

→ Price after first discount = J(1 - 0.40)

→ Additional discount = 10% .

so,

→ Price after additional discount = J(1 - 0.40) * (100 - 10)/100 = J(1 - 0.40)(1 - 0.10)

solving this we get,

→ Final cost = J * (1 - 0.40) * (1 - 0.10) = J * 0.60 * 0.90 = J * 0.54

then,

→ Total discount he gets = J - 0.54J = 0.46J .

therefore,

→ Total discount = (0.46J * 100)/J = 46% .

Hence, we can conclude that, dexter bought the jeans at 46% off . Or sale price of jean was 46% less than original price .

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