Quiz-Tree

Hard - Quiz 1

These multi-layered percentage problems require you to chain operations, reverse-engineer original values, and think carefully about what each percent applies to.

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Question 1
After a 20% price increase followed by a 25% discount, an item sells for $360. What was the original price of the item?
🔒 Answer question 1 to unlock
A city's crime rate dropped 10% in 2023 and then dropped another 15% in 2024. What was the overall percent decrease in the crime rate over the two-year period?
🔒 Answer question 2 to unlock
A chemist has 40 mL of a 30% acid solution. How many milliliters of pure acid must be added so that the resulting solution is 50% acid?
🔒 Answer question 3 to unlock
An employee's gross monthly pay is $5,000. A 12% retirement contribution is deducted from gross pay, and then an 18% income tax is applied to the remaining amount. What is the employee's monthly take-home pay?
🔒 Answer question 4 to unlock
A store raises all prices by 30% and later runs a 20%-off sale on the raised prices. After the sale, a customer notices that the price of a television is $3 more than it was before the store raised its prices. What was the original price of the television?
correct answers
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