Find the single discount equivalent to two successive discounts of 25% and 15%. The answer should be 36.25% because that's what it says in my book but I need the solution too, Thank You Very Much!! :), Have an awesome day/afternoon/evening/night <3
Answers
Answer:
Suppose the price of an item be 100,then after discount of first 15%, the market price will be 85. And after next 25%(i.e. of 17 ), price will be 68.
Therefore the single discount will be 32.25%.
Answer:
Given:
The discount series of 25%, 15% and 10%
Concept used:
If discount is a% for price P
So, discount = P × (100 – a)/100
Total discount = P - discount
Calculation:
Let price be 100
25% discount
⇒ 100 × [(100 – 25)/100]
⇒ 100 × (75/100)
⇒ 75
15% discount on 75
⇒ 75 × [(100 – 15)/100]
⇒ 75 × (85/100)
⇒ 63.75
10% discount of 63.75
⇒ 63.75 × [(100 – 10)/100]
⇒ 63.75 × (90/100)
⇒ 57.4
So, discount 100 – 57.4 = 42.6%
∴ Equivalent discount is 42.6.
Using this formula
Equivalent discount of a and b = a + b - (ab/100)
A= 25%, b = 15%
⇒ 25 + 15 – [(25 × 15)/100]
⇒ 40 – 3.75
⇒ 36.25%
Again a = 36.25, b = 10
⇒ 36.25 + 10 – [(36.25 × 10)/100]
⇒ 46.25 – 3.625
⇒ 42.6%
∴ Equivalent discount is 42.6.