Question

To attract customers a businessman offers a series of discount s at 10 percent, 10 percent and 5 percent respectively. What is equivalent discount of these three discount

Answer 1

Answer:23.05%

Step-by-step explanation:use the eqn x+y+xy/100

Here x is -10, y is -10. Solving the eqn we get -10-10+10*10/100 = -19

Again -19-5 + 19*5/100 = -23.05

-ve sign indicated reduction in price

Answer 2

Equivalent discount of these three discount is 23.05%.

Step-by-step explanation:

A 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 = $\frac{23.05}{100}\times 100$

                                                                          = 23.05%

Equivalent discount of these three discount is 23.05%.

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