CROSS PRICE EFFECT

Cross Price Effect
Effect of change in the price of a good on the demand of its related good is known as cross price effect. 
We know related goods are of two types
(1) Substitute goods, and
(2) Complementary goods
Accordingly we can split out discussion in two parts, 
(1) Demand for a Commodity in relation to Price of the Substitute Good: Let us consider tea and coffee as two substitute goods. Let tea be the commodity demanded of which demand curve is D1. (a) Increase in Price of Substitute Good:Initially, if price of tea is OP1, quantity purchased is OT1. Now suppose the price of tea remains constant but the price of coffee increases. 
Reaction of Consumer
As a rational consumer you may decide to ubstitute some tea in place of coffee. Or you are expected to buy more of tea even it's price is constant. Initially you were buying P1K1 quantity of tea. Now you are willing to buy P1K2. Greater purchase of a commodity at its constant price points to a situation of increase in demand, or forward shift in demand curve. Accordingly, demand curve for tea shifts to the right, from D1 to D2. 
(b) Decrease in Price of Substitute Good: If Price of coffee decreases, consumer will tend to substitute some coffee in place of tea. Or will demand less tea even when it's price is constant. Initially consumer was buying P1K1 of tea. Now, he is buying P1K2 of tea even when price of tea is constant. This is a situation of backward shift in demand curve. Demand curve shift from D1 to D2. 
(2) Demand for a Commodity in relation to the Price of the Complementary Good:Let us consider car and petrol as complementary goods. Let cars be the commodity demanded of which the demand curve is D1.(a) Increase in Price of Complementary Good: Initially, if price of cars is OP1, numbers of cars purchased is P1K1. Now, suppose this price remains constant but the price of petrol increases. 
Reaction of Consumer
They would tend to buy less cars, even when price of the cars is constant. 
Now, even when price of cars is constant,  P1K2 cars are purchased, because the price of petrol has increased. This is a situation of decrease in demand or backward shift in demand curve. Accordingly,  demand curve shifts from D1 to D2. 
(b) Decrease in Price of Complementary Good: If price of petrol decreases, people will have the tendency to buy more cars, even when price of cars is constant. This is a situation of increase in demand or forward shift of demand curve.Initially P1K1 cars are purchased. As price of petrol decreases, P1K2 cars are purchased even when price of cars is constant. Accordingly,  demand curve shift forward from D1 to D2. 

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