CA Foundation 2025 · Paper 4 · Business EconomicsQ12 · 1 mark↻ Appears in 3 of 6 yearsOfficial key verified
When two goods are complementary, the cross elasticity between them is :
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For complements, cross elasticity of demand is negative, so the answer is (D).

Step 1 — Definition

Cross elasticity of demand measures how the quantity demanded of good X responds to a change in the price of good Y:

EXY=%ΔQX%ΔPYE_{XY} = \frac{\%\Delta Q_X}{\%\Delta P_Y}

Step 2 — Sign for complements

Complementary goods (e.g. car and petrol) are consumed jointly. If PYP_Y rises, buyers use less of Y and therefore less of X too, so QXQ_X falls. A price rise causing a quantity fall means numerator and denominator have opposite signs → EXY<0E_{XY} < 0 (negative).

Step 3 — Reject the others

  • (A) Infinite / (B) Positive and large — describe substitutes (positive cross elasticity). …

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