2020 · Q114
The cost of gold varies directly as the cube of its weight. A gold piece weighing 20 decigram costs ₹ 1,000. If it is broken into two pieces whose weights are in the ratio 2: 3, then what is the profit or loss incurred?
general-mental-abilityquantitative-aptitude
- A₹ 280 profit
- B₹ 280 loss
- C₹ 720 profit
- D₹ 720 loss
Explanation
Since cost varies as the cube of weight, the 8-decigram piece is worth (8/20)³ × 1000 = ₹64 and the 12-decigram piece (12/20)³ × 1000 = ₹216 — totalling ₹280 against the original ₹1,000, a loss of ₹720.