A company sells four categories of products. Information on the daily sales for each product category is provided below. Product Category A = 304 units sold Product Categtory B = 592 units sold Product Category C = 384 units sold Product Category D = Accounts for 20% of total units sold daily across four product categories How many products are sold in Product Category D?

Question
Answer:
Let the total units sold daily across the four product categories be x. The number of units sold in category D is 20% of x $$20\%\times x=0.2x$$ Hence the equation for the total sum is $$304+592+384+0.2x=x$$ Solve for x as follows $$1280+0.2x=x$$ $$1280=x-0.2x$$ $$1280=0.8x$$ $$x=\frac{1280}{0.8}=1600$$ So the number of units sold in the category is $$0.2\times x=0.2 \times 1600=320$$ 320 units are sold in the category D.
solved
general 5 months ago 1047