Ratio & Proportion

Reducing £200 by 15% gives £170, and applying a further 10% reduction to this new figure results in £153. Option A is incorrect because it wrongly adds the percentages to take 25% off the original price, ignoring that the second discount applies to the reduced price.

The average speed is 80 km/h, which is converted to m/s by dividing by 3.6, yielding approximately 22.2 m/s. Option C is incorrect because 24.0 m/s corresponds to a speed of 86.4 km/h, which miscalculates the initial hourly rate.

The total ratio has 9 parts, making each part worth £20, so the smaller share of 4 parts equals £80. A diagram for this topic isn't available yet — the worked example below walks the same reasoning step by step.

• !Option D is incorrect because £90 represents an equal 1:1 split, failing to account for the unequal ratio.
• !Option C is incorrect because 24.0 m/s corresponds to a speed of 86.4 km/h, which miscalculates the initial hourly rate.
• !Option A is incorrect because it wrongly adds the percentages to take 25% off the original price, ignoring that the second discount applies to the reduced price.

Answer each from memory — you'll see instantly whether you're right and why.

Run a focused 10-question mini-mock on Ratio & Proportion and see it stick.