Question

19. A shopkeeper offers two successive discounts of 10% each. Find the effective discount
percentage offered by him.
Mo. Find the single discount percentage equivalent to three successive discounts of 10%, 5%
and 2%.​

Answer 1

Answer:

19. 19%

Mo. 16.21%

Step-by-step explanation:

19.Let's Assume the Cost of the Item be 100

CP after 10% Discount = 100 - (100/10) = 100 - 10 = 90

CP after 2nd Discount = 90 - (90 / 10) = 90 - 9 = 81

Overall Discount Percentage = (100 - 81 ) % = 19 %

Mo.

Let's Assume the Cost of the Item be 100

CP after 10% Discount = 100 - (100/10) = 100 - 10 = 90

CP after 5% More Discount = 90 - ( 90 / 20 ) = 90 - 4.5 = 85.5

CP after 2% Even More Discount = 85.5 - ( 85.5 / 50 )  =  85.5 - 1.71 = 83.79

Hope it helped!

PS: This Teaches us that back-to-back Discounts aren't that great

Overall Discord Percentage = (100 - 83.79) = 16.71%