Discussion

Question:

The cost of a piece of jewellery is proportional to the square of its weight. A piece of jewellery weighing 10 grams is INR 3600. The cost of a piece of jewellery of the same kind weighing 4 grams is

Explanation:

Given, price ∝ (weight)²

∴ $\frac{p_{1}}{p_{2}}$ = $\frac{{w_{1}}^{2}}{{w_{2}}^{2}}$

⇒ $\frac{3600}{p_{2}}$ = $\frac{10^{2}}{4^{2}}$ = $\frac{25}{4}$

⇒ p₂ = 3600 × 4/25 = 576

Hence, option (c).

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