CA Foundation 2025 · Paper 4 · Business EconomicsQ9 · 1 mark↻ Appears in 3 of 6 yearsOfficial key verified
A shopkeeper sells two commodities A and B, which are close substitute of each other. It is observed that when the price of commodity A rises by 20% the demand for B increases by 30%. What is the cross price elasticity for commodity B against the price of commodity A ?
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Cross elasticity Ec=%ΔQB/%ΔPA=30/20=+1.5E_c = \%\Delta Q_B / \%\Delta P_A = 30/20 = +1.5 (positive → substitutes).

Step 1 — Write the formula

Ec=% change in quantity demanded of B% change in price of AE_c = \frac{\%\ \text{change in quantity demanded of B}}{\%\ \text{change in price of A}}

Step 2 — Substitute the data

Price of A rises by 20%; demand for B rises by 30%.

Ec=+30%+20%=+1.5E_c = \frac{+30\%}{+20\%} = +1.5

Step 3 — Interpret the sign

A positive cross elasticity means the two goods move together — when A's price rises, buyers switch to B — confirming they are substitutes, which matches the question. Magnitude 1.5 (>1) shows a fairly strong substitution response. …

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