Multiple choice

The cost of a piece of diamond varies with the square of its weight. A diamond of Rs.6,084 value is cut into 3 pieces whose weights are in the ratio (3:2:1). Find the loss involved in the cutting.

  1. Rs. 3,768

  2. Rs. 3,718

  3. Rs. 3,168

  4. Rs. 3,518
Reveal answer Fill a bubble to check yourself
B Correct answer
Explanation

Let the total weight be 6x (ratio 3:2:1). The weights are 3x, 2x, x. Original value varies with square of weight, so value = k × (6x)² = 36kx² = ₹6,084. After cutting, total value = k(9x² + 4x² + x²) = 14kx² = (14/36) × 6084 = ₹2,366. Loss = 6084 - 2366 = ₹3,718.

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