Tatra customer a businessman after series of discount at 10%, 10% and 5% what is the equivalent discount of this tree customer
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businessman offers a series of discounts at 10%, 10% and 5%.
If the successive discounts d1, d2, and d3 are given on an item, then the selling price of that item is calculated by :
SP = (1-d1/100) (1-d2/100) (1-d3/100) × MP (Marked price)
Let the marked price of the item be 100 Rs.
SP = (1-10/100) (1-10/100) (1-5/100) × 100
= (1-0.1) (1-0.1) (1-0.05) × 100
= (0.9) (0.9) (0.95) × 100
= (0.81) (0.95) × 100
= 0.7695 × 100
= 76.95
Selling price would be 76.95 Rs.
Discount = 100 - 76.95 = 23.05 Rs.
Equivalent discount or Discount percentage = \frac{23.05}{100}\times 100
100
23.05
×100
= 23.05%
Equivalent discount of these three discount is 23.05%.
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