Question
Download Solution PDFIf successive discounts of 5%, 10% and p% are equivalent to a single discount of 31.6%, then the value of p is:
Answer (Detailed Solution Below)
Detailed Solution
Download Solution PDFGiven:
The successive discounts are 5%, 10% and p%
Single discount = 31.6%
Concept: If there are three successive discounts of a%, b% and c% on MP
SP = MP(100 - a)/100 × (100 - b)/100 × (100 - c)/100
Formula used:
SP = MP × (100 - D%)/100
D% = (D/MP) × 100
Calculation:
Let MP be x
SP = x × (100 - 5)/100 × (100 - 10)/100 × (100 - p)/100
⇒ SP = x × 95/100 × 90/100 × (100 - p)/100
⇒ x × 95/100 × 90/100 × (100 - p)/100 = x × (100 - 31.6)/100
⇒ x × 19/20 × 9/10 × (100 - p)/100 = x × 68.4/100
⇒ (100 - p)/100 = 2 × 68.4/171
⇒ (100 - p)/100 = 0.8
⇒ (100 - p) = 80
⇒ p = 20
The value of P is 20%.
Last updated on Jul 9, 2025
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