Final answer:
The percentage discount on the cupboard is found by subtracting the sale price from the original price, dividing the difference by the original price, and multiplying by 100. After calculating, the discount percentage is approximately 74.2%. So, rounding to the nearest tenth, the percentage discount is 74.2%, which corresponds to option (a).
Step-by-step explanation:
To calculate the percentage discount Tarzan gets on the cupboard, you first determine the amount saved. The original price is $21.94, and the sale price is $5.66.
The difference between these two prices is the amount saved, which can be calculated as $21.94 - $5.66 = $16.28. Next, you find the percentage that this saved amount represents of the original price. You divide the amount saved by the original price: $16.28 / $21.94.
Then you multiply this result by 100 to get the percentage: ($16.28 / $21.94) × 100 ≈ 74.2%. So, rounding to the nearest tenth, the percentage discount is 74.2%, which corresponds to option (a).