Question

Determine if the statement is true or false. If the statement is true, give two examples to illustrate it. If it is false, give a single counterexample. If the price on a Blu-Ray player is increased by 10%, and then later reduced by 10%, the price will be the same as the original price. Choose the correct answer below. O A. False. Assuming the player originally cost $100 $100 + (5100 - 10%) - (5110-10%)=599 OB. True. Assuming the player originally cost $100: $100 + 10 = $110 - 10 = $100 Assuming the player originally cost $200: $200 + 10 = $210 - 10 = $200 O C. True. Assuming the player originally cost $100 $100 + 10% - 10% = $100 Assuming the player originally cost $200 $200 + 10% - 10% = $200 OD. False. Assuming the player originally cost $100 $100 + ($100.10%) - (5100 - 10%) = $99

Can you show the work and also tell me which answer it is

Answer 1

let the original price is $100

now the price is increased by 10%

so new price is given by

new price = 100 + 10% of 100

new price = 100+ 0.1 (100)

new price = 100 + 10

new price = 110

.

now price is reduced by 10%

so new price is given by

new price = 110 - 10% of 110

new price = 110 - 0.1 (110)

new price = 110 - 11

new price = 99

which is not same as original so the statement is false

option A is correct