when the price of a product was decreased by 10% the number of products sold increased by 30% find the percentage increase in the total revenue
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let x be price of the product and y be number of products sold. Total revenue before change R = xy. (1)
after changes, new price of product is 0.9x and new number of product is 1.3y
so total revenue after changes were imposed R' = 0.9x*1.3y = 1.17xy
change in revenue = { R' - R } (as R' > R)
= { 1.17xy - xy}
= 0.17 xy increase
% increase = (0.17xy*100)/xy = 17% increase
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