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The tax on a commodity is diminished by 20% but its consumption is increased by 10%. Find the decrease percent in the revenue derived from…

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The tax on a commodity is diminished by 20% but its consumption is increased by 10%. Find the decrease percent in the revenue derived from it?
  • A20%
  • B18%
  • C15%
  • D12%
Correct answer: D
0
CCommunity
12%

NA
0
CCommunity
Solution:

Formula: Revenue = Tax × consumption

Let us take tax = 100 and consumption=100

Tax is diminished by 20% => 100 - 20 = 80

Consumption is increased by 10% => 100 + 10 = 110

Original Revenue = 100 × 100 = 10000

Changed Revenue = 80 × 110 = 8800

So, there is a loss in the revenue.

Revenue loss = 10,000 - 8,800 = 1200

Decrease percentage = ( 1200/10,000)× 100 = 12%

So, the correct option is D). 12%