Mei Ling buys a dress at a boutique in Tampines. The shop first deducts a 25% storewide sale discount from the marked price, then deducts a further 20% member discount on the sale price. Mei Ling pays $180 in total. What was the marked price of the dress?
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Worked Solution
Step 1: Let the marked price be M. After the 25% sale discount, the price becomes 0.75 × M.
Step 2: After the additional 20% member discount on the sale price, the final amount is 0.80 × (0.75 × M) = 0.60 × M.
Step 3: Mei Ling pays $180, so 0.60 × M = $180.
M = $180 ÷ 0.60 = $300.
Step 4: Verify forward — $300 × 0.75 = $225, then $225 × 0.80 = $180. ✓ The marked price is $300.
Answer: $300
Correct answer: $300
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