Question

Single discount equivalent to three successive discounts of 25% is??

Please answer it correctly and fast please......

Answer 1

Hi friends

Here is your answer

I 25% Discount
Let MP = 100

Discount = 25% of 100
$= \frac{25}{100} \times 100 \\ = 25$
SP = 100 - 25
= 75

II 25% Discount
Discount = 25% of 75
$= \frac{25}{100} \times 75 \\ = 18.75$
Now SP = 75 - 18.75
= 56.25

III 25% Discount
Discount = 25% of 56.25
$= \frac{25}{100} \times 56.25 \\ = 14.0625$
SP = 56.25 - 14.0625
= 42.1875
= 42.19
= 42.20 (approx)

Now
Total Single Discount is 100 - 42.20
= 57.80 %

Hope it helps you

@ MSD

Answer 2

$\huge\boxed{\texttt{\fcolorbox{Red}{aqua}{Hey Mate!!}}}$
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Here is your answer.

Let the Marked Price is RS 100

Now for First 25% Discount

Discount = 25% of 100
$= \frac{25}{100} \times 100 \\ = 25$
Selling Price is = MP - Discount
= 100 - 25
= 75

Now for Second Successive 25. % Discount
Discount = 25% of 75
$= \frac{25}{100} \times 75 \\ = 18.75$
Selling price is.= 75 - 18.75
= 56.25

Now Third successive 25% Discount

Discount = 25% of 56.25
$= \frac{25}{100} \times 56.25 \\ = 14.0625$
Selling price is = 56.25 - 14.0625
= 42.1875
= 42.188
= 42.19
= 42.20 (approximately by Rounding off)

Hence
Total Discount = 100 - 42.20
= 57.80

Percentage Discount = Discount× 100/MP
$= \frac{57.80\times 100}{100} \\ \\ = 57.80\%$
Therefore Total Single Discount equivalent to three successive Discount is 57.80%

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