Question

in a stock clearing sale action shoes give a successive discount 20% 40% and 60% what is the overall discount
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Answer 1

Given,

The successive discounts are 20%,40% and 60%

To find,

The overall discount percentage.

Solution,

Let, the marked price = Rs. x

(Assume x as a variable to do the further mathematical calculations.)

Price after first discount = x - (x×20/100) = x-x/5 = Rs. 4x/5

Price after second discount = 4x/5 - (4x/5 × 40/100) = 4x/5 - 8x/25 = 20x-8x/25 = Rs. 12x/25

Price after third discount = 12x/25 - (12x/25 × 60/100) = 12x/25 - (12x/25 × 6/10) = 12x/25 - ( 12x/25 × 3/5) =

12x/25 - 36x/125 = 60x-36x/125 = Rs. 24x/125

Price difference = x - 24x/125 = 125x-24x/125 = Rs. 101x/125

Discount percentage = 100 × (101x/125 ÷ x)

= 100 × 101x/125 × 1/x

= 100×101/125

= 80.8%

Hence, the total discount is 80.8%