Sale means have discount

A $20\%$ discount means the item will now have $80\%$ of the value, so we can write the final value as $0.80\times 0.70=0.56.$

The item now has a value of $0.56$ , so the single discount is $1-0.56=\boxed { 0.44 } .$

Let the price be 100.After giving 20% discount the price becomes 80. Again giving discount of 30% on 80,the price becomes 56.So the single equivalent discount is 100-56=44,which is 44% of 100.

let x be the unknown price to be discounted first computation of 20% discount

x - 0.2 x

second computation of 30% discount of already discounted amount

(x - 0.2 x) - 0.3 (x - 0.2 x)
removing grouping symbols we get, x - 0.2x - 0.3x + 0.06x
combining terms with decimal coefficients, x - 0.44x

by obvious reason, x - 0.44x means that the unknown amount is discounted at 44%

I hope it make sense to you friends...;-)

1 - ( ( 1 - 0.2 ) * ( 1 - 0.3 ) ) = 0.44

20% off on 100% is 80%. 30% off 80% is 56% off 100.

$(20+ (1-0.2\times 1)\times 30) = 44$

(100 * .8)*.7-100

X=1-(100x.2)x.3

1 - (1 - 0.4) * (1 - 0.3) = 0.56

1-0.8*0.7=0.44

I thought to do this in steps. Take $x$ to be the original price.

1. Take the first discount of 20%. You get $(1-0.2)x = 0.8x$
2. Take the second discount on top of that which will leave you with $(1-0.3)*0.8x = 0.56x$
3. To find what the single percentage, say n, solve $1 - n = 0.56$

You find that n = 0.44 which corresponds to 44% which is the correct answer

0.80x0.70=0.56 1-0.56=0.44

X=100-(80-80*0.3)

1.00 - ((1.00 - 0.20) x (1.00 - 0.30)) = 0.44

starting price =x. price after first discount = 0.8x. price after second discount = 0.8*0.7x = 0.56x. discount = 0.44x = 44% .

If we consider the initial cost of an item be $100,

then at first time when the Discount is 20%, then the cost will be $80

and Further Discount of 30% on this ,will give me final price $56.

So, (final price -Initial price/Initial)*100=44%

OR

Successive decrement i.e. Discount =(x%+y%-xy/100)%

20+30-600/100=44%

First Discount is 20% and Second Discount is 30% of (100-20) 80 is 24%. So the total Discount = 20% + 24% = 44%

1- (0.8*0.7)

100 0.8 0.7=56 100-56=44

20% discount means u pay 80% 80%×30% + 20% = 44%

1 - ((1 - .2) x (1 - .3)) = .44

1 - 0.8*0.7

P = Price = 1

x = [ P - (P * 0.2)] - [ P-(P * 0.2)]*0.3

x= P(0.8) - P(0.8)*0.3

x = P( 0.8-0.24)

x = P-0.56

but we said P = 1

x = 1-0.56 = 0.44 = 44% discount

Similar to many have already written

100 - (100 0.2) = 0.8 100 0.8 100 - 0.3 0.8 100 = 0.56 100 1 - 0.56 = answer

if you didn't notice 66% of people got the answer right(44) that's creepy, I solved this like this: imagine we have something with a 100$ what is 20% of this: 100$ (20/100) = 20$ thus the price will be(with 20% discount): 100$ - 20$ = 80$ now apply a 30% discount using the same 1way above changing 100 $to 80$ & 20% to 30%: 80 (30/100) = 24$ thus the price will be(with 20% discount & then a 30% discount): 80-24=56$

therefore the discount on the 100$ is 100% -(56$/100$)=100% -56% = 44% that's the most explanation I could give if still confused do it abstractly and it might be clearer that is starting with x dollars what will be the "value" of x after applying A discount(A%) and THAN B discount(B%) and the final discount will be the original x minus the new x.

1- (0.8*0.7)

1-(0.8*0.7)

X - 0.2 X and then (X-0.2 X) - 0.3 (X-0.2*X)

$[LaTeX](https://brilliant.org)$

1-(1-0.2)*(1-0.3)

1*.8 then *.7 = .56

Total Discount = 0.20 + (0.30 * 0.20)

Basically the value of the second discount is lessened by the percentage of the first discount.