Two weeks ago a certain sweater was offered at a sale price that was 20 percent less than the retail price, and last week it was offered at a clearance price that was 30 percent less than the sale price. The clearance price of the sweater was what percent less than the retail price?

Rationale

The clearance price of the sweater was 44% less than the retail price.

To determine how much less the clearance price is compared to the retail price, we first calculate the sale price and then the clearance price based on the percentages provided. The final calculation shows a reduction of 44% from the retail price.

A (40%) YOUR ANSWER

A reduction of 40% would imply that the clearance price is only slightly lower than what we calculated. However, based on the calculations, the actual percentage decrease is greater, specifically at 44%, meaning this option does not accurately reflect the difference between the clearance and retail prices.

B (44%) CORRECT

This is the correct choice, as the calculations show that the clearance price, after both discounts, results in a total decrease of 44% from the original retail price. This option correctly represents the relationship between the clearance price and the retail price.

C (50%) YOUR ANSWER

A 50% reduction would suggest that the clearance price is half of the retail price, which is not the case in this scenario. The actual calculations demonstrate a smaller percentage decrease when considering both the sale and clearance discounts.

D (56%) YOUR ANSWER

This option implies an even larger decrease than what was calculated. A reduction of 56% would mean the clearance price is significantly lower than the calculated 44%, which does not align with the provided discount percentages.

E (0.6) YOUR ANSWER

This option does not represent a percentage decrease and is irrelevant in the context of the question. The question specifically asks for a percentage less than the retail price, and 0.6 does not fit this requirement.

Conclusion

The calculations confirm that the clearance price is 44% less than the retail price after applying the sequential discounts of 20% and 30%. Each incorrect option either misrepresents the percentage decrease or fails to provide a valid response within the context of the question, emphasizing the accuracy of the 44% reduction.

Two weeks ago a certain sweater was offered at a sale price that was 20 percent less than the retail price, and last week it was offered at a clearance price that was 30 percent less than the sale price. The clearance price of the sweater was what percent less than the retail price?

The clearance price of the sweater was 44% less than the retail price.

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