Multiple Choice

1. A bicycle is on sale for $255$. This is after a $15\%$ discount. What was the original price of the bicycle?

   $270.00$

   $300.00$

   $285.50$

   $293.25$

2. After a $12\%$ increase, a town's population is $33,600$. What was the population before the increase?

   $32,000$

   $30,000$

   $31,500$

   $29,568$

3. A video game costs $48.75$ including a $25\%$ sales tax. What was the price of the game before tax?

   $36.56$

   $42.50$

   $40.00$

   $39.00$

4. A store sold a watch for $144$, making a $20\%$ profit on the original cost. How much did the store originally pay for the watch?

   $125.00$

   $115.20$

   $120.00$

   $130.00$

5. Sarah's weekly salary increased by $8\%$, and she now earns $540.00$ per week. What was her salary before the increase, to the nearest cent?

   $496.80$

   $500.00$

   $505.40$

   $502.50$

6. A jacket is on sale for $189$, which represents a $30\%$ discount from its original price. How much money was saved in the discount?

   $75.00$

   $56.70$

   $81.00$

   $63.00$

7. Due to migration, a village's population decreased by $15\%$ to $6800$ people. What was the original population of the village?

   $7000$

   $7820$

   $7500$

   $8000$

8. An investment grew by $7\%$ over a year, and is now worth $2140$. What was its initial value, to the nearest dollar?

   $2000$

   $1990$

   $2009$

   $2004$

9. A product's price was increased by $10\%$, and then later decreased by $10\%$. Its current price is $99.00$. What was its original price?

   $99.00$

   $99.99$

   $98.01$

   $100.00$

10. A shop sold $360$ items this week, which is $20\%$ more than they sold last week. How many items represent $15\%$ of the sales from last week?

    $43.2$

    $40$

    $45$

    $54$

11. The price of a premium coffee blend is $18.90$ per kg. This price is $35\%$ higher than the price of the standard blend. What is the price of the standard blend per kg?

    $13.50$

    $14.00$

    $12.28$

    $15.00$

12. A vendor sold a product for $78$ and made a $22\%$ loss on the cost price. What was the original cost price of the product?

    $90.00$

    $100.00$

    $97.50$

    $95.16$

13. A company's total production in March was $1200$ units. This was $20\%$ less than February's production. How many more units did the company produce in February compared to March?

    $360$

    $240$

    $200$

    $300$

14. An employee received a bonus of $15\%$ of their original annual salary. Their total earnings for the year (salary + bonus) amounted to $57,500$. What was their original annual salary?

    $50,435$

    $52,000$

    $48,875$

    $50,000$

15. A jacket's price was initially marked up by $20\%$ from its cost price. Later, during a sale, it was sold for $162$, which was $10\%$ off the marked-up price. What was the original cost price of the jacket?

    $135$

    $150$

    $160$

    $145.80$

16. A jacket costs $\$80$. Its price is first increased by $10\%$, and then the new price is decreased by $10\%$. What is the final price of the jacket?

    $\$72.00$

    $\$79.20$

    $\$88.00$

    $\$80.00$

17. The population of a town was $10,000$. In the first year, it increased by $5\%$. In the second year, it increased by another $10\%$ of the new population. What was the population after two years?

    $11,550$

    $10,500$

    $11,500$

    $11,000$

18. A bicycle originally priced at $\$200$ is on sale. It first gets a $20\%$ discount, and then an additional $10\%$ discount is applied to the sale price. What is the final price of the bicycle?

    $\$140.00$

    $\$144.00$

    $\$180.00$

    $\$160.00$

19. A car initially costs $\$15,000$. Its value depreciates by $10\%$ in the first year and then by $15\%$ in the second year (based on its value at the end of the first year). What is the car's value after two years?

    $\$12,750.00$

    $\$11,475.00$

    $\$13,500.00$

    $\$11,250.00$

20. Sarah's hourly wage was $\$12$. She received a $5\%$ raise, and then a few months later, she received another $8\%$ raise on her new wage. What is her new hourly wage after both raises?

    $\$13.61$

    $\$12.96$

    $\$13.56$

    $\$12.60$

Numerical / Short Answer

21. A video game is on sale for $20\%$ off its original price. If the sale price is $\$48.72$, what was the original price before the discount?

22. A small business increased its prices by $12.5\%$. If an item now sells for $\$49.50$, what was its price before the increase?

23. A population of rare birds decreased by $10\%$ in one year. The following year, it increased by $25\%$. If the final population count was $450$ birds, what was the original population size two years ago?

24. A furniture store marks up its original cost price by $40\%$. During a sale, they offer a $25\%$ discount on the marked-up price. If a customer paid $\$210$ for a chair during the sale, what was the original cost price of the chair for the store?

25. After a $22\%$ decrease in its value, a vintage comic book is now worth $\$176$ *less* than its original value. What was the original value of the comic book?

26. A laptop originally costs $\$800$. During a sale, its price is first increased by $5\%$. Later, due to a special promotion, the new price is decreased by $10\%$. What is the final price of the laptop?

27. The number of students in a school was $600$. In the first year, the number of students decreased by $10\%$. In the second year, the number of students increased by $15\%$ of the previous year's student count. How many students are there in the school after these two changes?