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keisanHigh-precision calculations for everyday life and work

Calculating the effective discount rate based on the point redemption rate at electronics retailers

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Points are a common feature at electronics retailers. It’s easy to misunderstand, but they aren’t actually a discount rate.
Here, we calculate what discount rate the points actually represent and display the discounted price of the item.
We also display the number of points that won’t be deducted when you use points to purchase an item—for those who don’t want to lose points.
We’ll also show how much the price would be if it were a cash discount instead of a points discount, as well as the difference between the two.
Price
yen
Points
%
Effective Discount Rate (p) %
Actual discounted price (p) Yen (a)
The number of points you’ll receive as a rebate when purchasing points 
Selling price assuming a cash discount rate Yen (b)
Difference from the cash discount price yen (a-b)

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