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CA Foundation · Business Economics · Theory of Demand and Supply

The cross elasticity of demand for tea with respect to the price of coffee is +0.6, and that of tea with respect to the price of sugar is −0.4. If the price of coffee rises 10% and the price of sugar rises 20% at the same time, what is the net percentage change in the quantity demanded of tea, other factors constant?

Tea demand falls by 2%. The substitute effect from coffee adds 0.6 × 10 = 6%, while the complement effect from sugar subtracts 0.4 × 20 = 8%. The net change is 6 − 8 = −2%, so the complement's larger effect outweighs the substitute's.

  1. A+2%
  2. B−2%Correct
  3. C+14%
  4. D−8%

Explanation

Effect of coffee: 0.6 × 10 = +6%. Effect of sugar: −0.4 × 20 = −8%. Net change = +6 − 8 = −2%. Adding the absolute values gives 14%, which ignores the negative sign for the complement, and −8% ignores the coffee effect.

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