The price elasticity of demand measures the responsiveness of the quantity demanded to a change in price. In this scenario, the price of mangoes increases from ₹50 per kg to ₹75 per kg, resulting in a decrease in demand from 100 kg to 50 kg.

To calculate the price elasticity of demand, we use the formula:

Elasticity = (% change in quantity demanded) / (% change in price)

First, we calculate the percentage change in quantity demanded:

% change in quantity demanded = ((final quantity demanded - initial quantity demanded) / initial quantity demanded) * 100

% change in quantity demanded = ((50 kg - 100 kg) / 100 kg) * 100

% change in quantity demanded = -50%

Next, we calculate the percentage change in price:

% change in price = ((final price - initial price) / initial price) * 100

% change in price = ((₹75 - ₹50) / ₹50) * 100

% change in price = 50%

Now, we can calculate the price elasticity of demand:

Elasticity = (-50% / 50%)

Elasticity = -1

Since the price elasticity of demand is a positive value, we take the absolute value of