Discussion

Question:

The length and breadth of a rectangle field are increased, the area increased by 50%. If the length increased by 20%, by what percentage was breadth increased?

Explanation:

Length becomes $(1 + \frac{20}{100})$ = $\frac{6}{5}$ times.
Area becomes $(1 + \frac{50}{100})$ = $\frac{3}{2}$ times.

∴ Area = Length × Breadth

⇒ $\frac{3}{2}$ = $\frac{6}{5}$ × Breadth

⇒ Breadth becomes 5/4 times.
∴ Breadth increases by $(\frac{5}{4} - 1)$ × 100% = 25%

Hence, option (a).

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