CA Foundation 2026 · Paper 4 · Business EconomicsQ5 · 1 mark↻ Appears in 3 of 6 yearsOfficial key verified
When the price of sugar is ₹ 60 per kg, its demand is 10 Kgs. Subsequently, if the price of coffee declines from ₹ 500 per kg to ₹ 450 per Kg, the usage of sugar rises from 10 kgs to 15 kgs. Calculate the cross price elasticity.
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Ec=%ΔQsugar÷%ΔPcoffee=50%÷(−10%)=−5E_c = \%\Delta Q_{sugar} \div \%\Delta P_{coffee} = 50\% \div (-10\%) = -5.

Step 1 — Formula

Ec=% change in quantity demanded of good X% change in price of good YE_c = \frac{\%\ \text{change in quantity demanded of good X}}{\%\ \text{change in price of good Y}}

Step 2 — Change in quantity of sugar

%ΔQsugar=15−1010×100=+50%\%\Delta Q_{sugar} = \frac{15 - 10}{10} \times 100 = +50\%

Step 3 — Change in price of coffee

%ΔPcoffee=450−500500×100=−10%\%\Delta P_{coffee} = \frac{450 - 500}{500} \times 100 = -10\%

Step 4 — Cross elasticity

Ec=50−10=−5E_c = \frac{50}{-10} = -5

The negative value shows sugar and coffee are complements (people sweeten coffee with sugar), so cheaper coffee raises sugar demand.

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