50. Calculate the equivalent discount of two successive discount of 15%
and 25%:
(a)36.25
(b) 30.50
(c)35.75
(d) 34.60
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Step-by-step explanation:
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.
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