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A public works project is proposed that has total present-worth benefits of ₹ 75 million and total present-worth cost of ₹ 55 million. In deliberating this proposal, some members of the Municipal Board have suggested that the project has a total present-worth disbenefits of ₹ 15 million; other members feel that ₹ 15 million should be treated as a cost. What will be the benefit cost ratio and net benefits value while considering the disbenefits as a cost?

This question was previously asked in
UGC NET 2015 Paper 1 Question Paper (27-Dec-2015)
The correct answer is

1.07 and ₹ 5 million

Option 4 — 1.07 and ₹ 5 million is correct.

In benefit-cost analysis, a disbenefit is a negative outcome to the public. It can be handled two ways: subtracted from benefits in the numerator, or added to costs in the denominator. The question specifically asks us to treat the ₹ 15 million disbenefit as a cost, so it goes into the denominator.

Adjusted cost = original cost + disbenefit = ₹ 55 + ₹ 15 = ₹ 70 million.

Benefit-cost ratio = benefits ÷ adjusted cost = 75 ÷ 70 = 1.07.

Net benefits = benefits − adjusted cost = 75 − 70 = ₹ 5 million.

Because the ratio exceeds 1 and net benefits are positive, the project is still economically justified, though only marginally.

Why the other options are wrong: Treating the disbenefit as a deduction from benefits (60 ÷ 55 = 1.09, net 5) or ignoring it (75 ÷ 55 = 1.36) gives different figures; options 1, 2 and 3 do not follow the 'disbenefit as a cost' instruction.

Takeaway: Placing the ₹ 15 million disbenefit in the denominator gives B/C = 75/70 = 1.07 and net benefit ₹ 5 million.

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