The correct answer is (c) 2.
Price elasticity of demand is a measure of how responsive consumers are to changes in the price of a good or service. It is calculated by dividing the percentage change in quantity demanded by the percentage change in price.
In this case, the price of mangoes increases by 50% (from 50 to 75), and the quantity demanded decreases by 50% (from 100 to 50). Therefore, the price elasticity of demand is 2.
A price elasticity of demand of 2 means that a 1% increase in price will lead to a 2% decrease in quantity demanded.
A price elasticity of demand of less than 1 means that demand is inelastic. This means that consumers are not very responsive to changes in price, and a change in price will not have a large impact on the quantity demanded.
A price elasticity of demand of greater than 1 means that demand is elastic. This means that consumers are very responsive to changes in price, and a change in price will have a large impact on the quantity demanded.
In this case, the price elasticity of demand is