A single discount equivalent to three successive discounts of 6%, 15%

1.	A single discount equivalent to three successive discounts of 6%, 15% and 14% is:1. 34.357%2. 17.5%3. 68.714%4. 31.286%
Answer» Correct Answer - Option 4 : 31.286% Given: Successive discount = 6%, 15% and 14% Concept used: S.P = M.P × (100 – D₁)/100 × (100 – D₂)/100 × (100 – D₃)/100 Discount = M.P – S.P Discount% = ((Discount)/(M.P)) × 100 Calcualtions: Let MP be 100x ⇒ S.P = 100x × (100 – 6)/100 × (100 – 15)/100 × (100 – 14)/100 ⇒ (100x × 94 × 85 × 86)/100 × 100 × 100) ⇒ 68.714x Discount = 100x – 68.714x = 31.286x Discount% = (31.286x/100x) × 100 = 31.286% ∴ The equivalent discount% is 31.286%

A single discount equivalent to three successive discounts of 6%, 15% and 14% is:1. 34.357%2. 17.5%3. 68.714%4. 31.286%

Answer» Correct Answer - Option 4 : 31.286%

Given:

Successive discount = 6%, 15% and 14%

Concept used:

S.P = M.P × (100 – D₁)/100 × (100 – D₂)/100 × (100 – D₃)/100

Discount = M.P – S.P

Discount% = ((Discount)/(M.P)) × 100

Calcualtions:

Let MP be 100x

⇒ S.P = 100x × (100 – 6)/100 × (100 – 15)/100 × (100 – 14)/100

⇒ (100x × 94 × 85 × 86)/100 × 100 × 100)

⇒ 68.714x

Discount = 100x – 68.714x = 31.286x

Discount% = (31.286x/100x) × 100 = 31.286%

∴ The equivalent discount% is 31.286%

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A single discount equivalent to three successive discounts of 6%, 15% and 14% is:1. 34.357%2. 17.5%3. 68.714%4. 31.286%

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