Inventory is a basic requirement of a school. Every teacher needs books, pens, pencils, chart sheets and such materials to impart education. The market offers many supplies of the inventory. To entice their customers the suppliers provide many forms of discounts…
The teacher has to choose between the two offers. The choice incidentally depends totally on the amount the teacher can spend. Her requirements may be limited to get a few chart books or can be huge annual budget including books, papers and sorts. Offer A is apt for small budgeted purchases while offer B would fetch more savings for large spending. In between, there will be a particular budget (money to be spent) when offer A and offer B would fetch same net discount. Let’s solve the offers mathematically. The discount is defined as D= (MP-SP)/MP, (1) where, D is the Discount earned, MP is the Marked Price, SP is the Selling Price. In Offer A, the selling price can be calculated as SP= MP-DP*MP/100, (2) where, DP is discount percentage. Equation (2) is the linear equation which can be used to calculate selling price of the products. Then Equation (1) can be used to calculate discount. D=MP-MP*(100-DP) (3) Offer B is a little more complex. It has two scenarios: Offer B => DP = 0, if MP 0, if MP=y or MP>y where, y is the lower limit of the offer. In Offer B, the selling price can be calculated as When MPy, SP= MP-DP*(MP-y)/100, (4) Equation (4) is the linear equation which can be used to calculate selling price of the products. Then Equation (1) can be used to calculate discount. D=MP-y-(MP-y)*(100-DP). ...
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