An edible oil is sold at the rates 150, 200, 250, 300 rupees per litre in four consecutive years. Assuming that an equal amount of money is spent on oil by a family in every year during these years, what is the average price of oil in rupees (approximately) per litre?
A.210✓ Correct
B.220
C.230
D.240
Explanation
When equal money is spent, the appropriate average is the harmonic mean. HM = n/(Σ(1/xᵢ)) = 4/(1/150 + 1/200 + 1/250 + 1/300). LCM-based: 1/150 + 1/200 + 1/250 + 1/300. Computing: 1/150 ≈ 0.00667, 1/200 = 0.005, 1/250 = 0.004, 1/300 ≈ 0.00333. Sum ≈ 0.019. HM ≈ 4/0.019 ≈ 210.5. So approximately 210.
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