HKDSE (Hong Kong) · Mathematics Compulsory Part

Percentages

20 practice questions, each with the answer and an explanation.

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Random questions from this topic, one at a time. You see the answer and the explanation straight after each one.

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The price of a camera is first increased by $10%$ and then reduced by $25%$ . What is the overall change in the price?
The price of a camera is first increased by $40%$ and then reduced by $50%$ . What is the overall change in the price?
The price of a camera is first increased by $20%$ and then reduced by $40%$ . What is the overall change in the price?
The price of a camera is first increased by $40%$ and then reduced by $30%$ . What is the overall change in the price?
The price of a camera is first increased by $10%$ and then reduced by $40%$ . What is the overall change in the price?
After an increase of $10%$ , the price of a bag is $\$ 220$. What was the price before the increase?
After an increase of $10%$ , the price of a bag is $\$ 264$. What was the price before the increase?
After an increase of $10%$ , the price of a bag is $\$ 880$. What was the price before the increase?
After an increase of $40%$ , the price of a bag is $\$ 840$. What was the price before the increase?
A sum of $\$ 10000$ is deposited for 2 years at $4\%$ p.a. compound interest, interest added yearly. Find the interest earned.
A sum of $\$ 20000$ is deposited for 2 years at $5\%$ p.a. compound interest, interest added yearly. Find the interest earned.
A sum of $\$ 10000$ is deposited for 2 years at $5\%$ p.a. compound interest, interest added yearly. Find the interest earned.
A sum of $\$ 20000$ is deposited for 2 years at $2\%$ p.a. compound interest, interest added yearly. Find the interest earned.
A shop marks a coat at $30%$ above its cost price and then sells it at a discount of $20%$ . Find the percentage profit.
A shop marks a coat at $40%$ above its cost price and then sells it at a discount of $20%$ . Find the percentage profit.
A shop marks a coat at $40%$ above its cost price and then sells it at a discount of $10%$ . Find the percentage profit.
A shop marks a coat at $20%$ above its cost price and then sells it at a discount of $10%$ . Find the percentage profit.
A shop marks a coat at $40%$ above its cost price and then sells it at a discount of $25%$ . Find the percentage profit.
A shop marks a coat at $30%$ above its cost price and then sells it at a discount of $10%$ . Find the percentage profit.
A shop marks a coat at $50%$ above its cost price and then sells it at a discount of $25%$ . Find the percentage profit.

Percentages

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