We are given,
Percentage fall in demand = 20%
Initial Price = Rs. 10
New Price = Rs. 12
Percentage change in price = [(12 - 10) / 10] * 100 = 20%
Price elasticity of demand (PED) = (% change in quantity demanded) / (% change in price)
PED = -20% / 20% = -1
Now, let's calculate the percentage change in quantity demanded if the price rises from Rs. 10 to Rs. 13.
Percentage change in price = [(13 - 10) / 10] * 100 = 30%
Since the PED is -1, we can use the formula:
PED = (% change in quantity demanded) / (% change in price)
-1 = (% change in quantity demanded) / 30%
% change in quantity demanded = -1 * 30% = -30%
Therefore, if the price rises from Rs. 10 per unit to Rs. 13 per unit, the percentage change in quantity demanded will be -30%.