What single discount is equivalent to two successive discounts of 25% & 5% ?
please tell fast
Answers
Answer:
28.75%
Step-by-step explanation:
D = x+y - xy/100
= 25+5 - 25 × 5 /100
= 30/1 - 125/100
= 30/1 - 5/4
= 120-5/4
=115/4
=28.75%
Given : Two successive discounts of 25% & 5%
To find : The equivalent single discount.
Solution :
We can simply solve this mathematical problem by using the following mathematical process. (our goal is to calculate the single equivalent discount)
Let, the price of an article = Rs. x
First discount amount of 25% :
= x × 25%
= x × (25/100)
= Rs. x/4
Price after first discount of 25% :
= x - (x/4)
= (4x - x)/4
= Rs. 3x/4
Now, the second discount amount of 5% :
= (3x/4) × 5%
= (3x/4) × (5/100)
= Rs. 3x/80
Price after second discount of 5% :
= (3x/4) - (3x/80)
= (60x - 3x)/80
= Rs. 57x/80
Total discount amount :
= Initial price - Price after second discount of 5%
= x - (57x/80)
= (80x - 57x)/80
= Rs. 23x/80
So, the single equivalent discount :
= 100 × (Total discount amount ÷ Initial price)
= 100 × [(23x/80) ÷ x]
= 100 × [(23x/80) × (1/x)]
= (100 × 23)/80
= 28.75%
(This will be considered as the final result.)
Hence, the single equivalent discount is of 28.75%